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Showing papers in "Circuits Systems and Signal Processing in 2012"


Journal ArticleDOI
TL;DR: The conditions for RC and RL circuits to act as pure imaginary impedances are derived and the sensitivity analyses of the magnitude and phase response with respect to all parameters showing the locations of these critical values are discussed.
Abstract: This paper is a step forward to generalize the fundamentals of the conventional RC and RL circuits in fractional-order sense. The effect of fractional orders is the key factor for extra freedom, more flexibility, and novelty. The conditions for RC and RL circuits to act as pure imaginary impedances are derived, which are unrealizable in the conventional case. In addition, the sensitivity analyses of the magnitude and phase response with respect to all parameters showing the locations of these critical values are discussed. A qualitative revision for the fractional RC and RL circuits in the frequency domain is provided. Numerical and PSpice simulations are included to validate this study

170 citations


Journal ArticleDOI
TL;DR: The purpose is to design a linear H∞ filter such that the filtering error system is regular, causal, stochastically stable, and satisfies the prescribed H ∞ performance constraint.
Abstract: This brief is concerned with the issue of quantized H ∞ filtering for singular time-varying delay systems with an unreliable communication channel. The missing data are described by a binary switching sequence satisfying a conditional probability distribution. The purpose is to design a linear H ∞ filter such that the filtering error system is regular, causal, stochastically stable, and satisfies the prescribed H ∞ performance constraint. First, based on a finite sum inequality, a new delay-dependent stability condition is obtained. Then, the filter parameters are derived by solving a linear matrix inequality (LMI). Finally, numerical examples are given to illustrate that the proposed approach is effective and feasible.

73 citations


Journal ArticleDOI
TL;DR: The convolution theorem in FT domain is shown to be a special case of the achieved results, and the correlation theorem is derived, which is also a one dimensional integral expression.
Abstract: As a generalization of the fractional Fourier transform (FRFT), the linear canonical transform (LCT) plays an important role in many fields of optics and signal processing. Many properties for this transform are already known, but the correlation theorem, similar to the version of the Fourier transform (FT), is still to be determined. In this paper, firstly, we introduce a new convolution structure for the LCT, which is expressed by a one dimensional integral and easy to implement in filter design. The convolution theorem in FT domain is shown to be a special case of our achieved results. Then, based on the new convolution structure, the correlation theorem is derived, which is also a one dimensional integral expression. Last, as an application, utilizing the new convolution theorem, we investigate the sampling theorem for the band limited signal in the LCT domain. In particular, the formulas of uniform sampling and low pass reconstruction are obtained.

72 citations


Journal ArticleDOI
TL;DR: This paper presents a novel hierarchical least squares algorithm for a class of non-uniformly sampled systems that can save the computation cost and indicates that parameter estimates converge to their true values.
Abstract: This paper presents a novel hierarchical least squares algorithm for a class of non-uniformly sampled systems. Based on the hierarchical identification principle, the identification model with a high dimensional parameter vector is decomposed into a group of submodels with lower dimensional parameter vectors. By using the least squares method to identify the submodels and taking a coordinated measure to address the associated items between the submodels, all the system parameters can be estimated. The proposed algorithm can save the computation cost. The performance analysis indicates that parameter estimates converge to their true values. The simulation tests confirm the convergence results.

68 citations


Journal ArticleDOI
TL;DR: These Carbon Nanotube FET-based circuits are compatible with the recent technologies and are designed based on the conventional CMOS architecture, while the previous quaternary designs used methods which are not suitable for nanoelectronics and have become obsolete.
Abstract: This paper presents novel high-performance and PVT tolerant quaternary logic circuits as well as efficient quaternary arithmetic circuits for nanoelectronics. These Carbon Nanotube FET (CNFET)-based circuits are compatible with the recent technologies and are designed based on the conventional CMOS architecture, while the previous quaternary designs used methods which are not suitable for nanoelectronics and have become obsolete. The proposed designs are robust and have large noise margins and high driving capability. The singular characteristics of CNFETs, such as the capability of having the desired threshold voltage by regulating the diameters of the nanotubes, make them very appropriate for voltage-mode multiple-threshold circuits design. The proposed circuits are examined, using Synopsys HSPICE with the standard 32 nm-CNFET technology in various situations and different supply voltages. Simulation results demonstrate the correct and high-performance operation of the proposed circuits even in the presence of process, voltage and temperature variations.

67 citations


Journal ArticleDOI
TL;DR: The aim is to design an observer-based FTC law such that, for the admissible parameter uncertainty and possible actuator faults, the resulting closed-loop system is asymptotically stable with a given disturbance attenuation level γ.
Abstract: In this paper, an observer-based passive fault-tolerant control (FTC) scheme is proposed for a near-space hypersonic vehicle (NSHV) dynamical system with both parameter uncertainty and actuator faults. The parameter uncertainty is assumed to be norm-bounded, and the possible fault of each actuator is described by a variable varying within a given interval. Our aim is to design an observer-based FTC law such that, for the admissible parameter uncertainty and possible actuator faults, the resulting closed-loop system is asymptotically stable with a given disturbance attenuation level γ. The unknown gain matrices are characterized in terms of the solutions to some linear matrix inequalities (LMIs) which can be readily solved using standard software packages. The FTC scheme presented in this study is finally demonstrated via simulation on a linearized NSHV dynamical system to illustrate the effectiveness.

66 citations


Journal ArticleDOI
TL;DR: This paper introduces a new simple Schmitt trigger circuit using a plus-type differential voltage-current conveyor (DVCC+) and only two grounded resistors and enjoys adjustable lower and higher threshold voltages as well as the output saturation levels.
Abstract: This paper introduces a new simple Schmitt trigger circuit using a plus-type differential voltage-current conveyor (DVCC+) and only two grounded resistors. The proposed circuit is very simple and enjoys adjustable lower and higher threshold voltages as well as the output saturation levels. The application of the proposed Schmitt trigger circuit to the square/triangular wave generator is also given. Moreover, a current feedback operational amplifier (CFOA)-based square/triangular wave generator is derived from the proposed DVCC+-based circuit. Simulation and experimental results are presented to exhibit the performance of the proposed circuits.

66 citations


Journal ArticleDOI
TL;DR: New grounded frequency-dependent negative-resistance (FDNR) and grounded inductance simulation circuits, employing an operational trans-Resistance amplifier (OTRA) along with two capacitors, two resistors and a voltage follower have been introduced.
Abstract: New grounded frequency-dependent negative-resistance (FDNR) and grounded inductance simulation circuits, employing an operational trans-resistance amplifier (OTRA) along with two capacitors, two resistors and a voltage follower have been introduced. The application of the new simulators in the realization of a single-resistance controlled oscillator (SRCO) and a single-capacitance controlled oscillator (SCCO) has been demonstrated and the effect of parasitic capacitance and input and output resistances of the OTRA on the performance of these circuits has been evaluated. The workability of the application circuits has been confirmed by experimental results using an OTRA-implemented from commercially available AD844-type current-feedback operational amplifiers (CFOAs).

64 citations


Journal ArticleDOI
TL;DR: The new fractional-order chaotic system can be controlled to reach synchronization based on the nonlinear control theory, and the results between numerical emulation and circuit simulation are in agreement with each other.
Abstract: A new fractional-order chaotic system is proposed in this paper, and a list of state trajectories is presented with fractional derivative of different areas. Furthermore, a circuit diagram is studied to realize the fractional-order chaotic system. The new fractional-order chaotic system can be controlled to reach synchronization based on the nonlinear control theory, and the results between numerical emulation and circuit simulation are in agreement with each other.

48 citations


Journal ArticleDOI
TL;DR: The hierarchical gradient-based iterative (HGI) algorithm to interactively estimate the parameter matrix and the parameter vector by using the hierarchical identification principle and the gradient search is presented.
Abstract: For a multivariable controlled autoregressive system with autoregressive noises, its corresponding identification model contains a parameter matrix and a parameter vector. This paper presents the hierarchical gradient-based iterative (HGI) algorithm to interactively estimate the parameter matrix and the parameter vector by using the hierarchical identification principle and the gradient search. The simulation results show that the HGI algorithm is effective.

45 citations


Journal ArticleDOI
TL;DR: Fractional-order allpass filters are examined, the theory behind their operation is examined and their usefulness in the design of both multiphase and quadrature oscillators is demonstrated.
Abstract: In this paper multiphase oscillators built using fractional-order allpass filters are presented. We examine the theory behind their operation and demonstrate their usefulness in the design of both multiphase and quadrature oscillators. Case design examples are given for various scenarios, while PSPICE and experimental results verify their operation

Journal ArticleDOI
TL;DR: New architectures for real-time implementation of the forward/inverse discrete wavelet transforms and their application to signal denoising are presented and compared in terms of reconstruction error, denoizing performance and resource utilization.
Abstract: This paper presents new architectures for real-time implementation of the forward/inverse discrete wavelet transforms and their application to signal denoising. The proposed real-time wavelet transform algorithms present the advantage to ensure perfect reconstruction by equalizing the filter path delays. The real-time signal denoising algorithm is based on the equalized filter paths wavelet shrinkage, where the noise level is estimated using only few samples. Different architectures of these algorithms are implemented on FPGA using Xilinx System Generator for DSP and XUP Virtex-II Pro development board. These architectures are evaluated and compared in terms of reconstruction error, denoising performance and resource utilization.

Journal ArticleDOI
TL;DR: By using matrix pencil theory, formulas are obtained for the solutions of the initial value problem of a class of non-homogeneous generalized linear discrete time systems whose coefficients are square constant matrices and necessary and sufficient conditions for existence and uniqueness are given.
Abstract: In this article, we study the initial value problem of a class of non-homogeneous generalized linear discrete time systems whose coefficients are square constant matrices. By using matrix pencil theory we obtain formulas for the solutions and we give necessary and sufficient conditions for existence and uniqueness of solutions. Moreover, we provide some numerical examples.

Journal ArticleDOI
TL;DR: A new method based on dimensionality reduction of ensemble empirical mode decomposition (EEMD) and principal component analysis (PCA) is applied to reduce dimensions of IMFs and results show EEMD-PCA-ICA algorithm outperforms EEMd-ICA with higher cross-correlation and lower relative root mean squared error (RRMSE).
Abstract: Blind source separation of single-channel mixed recording is a challenging task that has applications in the fields of speech, audio and bio-signal processing. Numerous blind source separation methods are commonly used for blind separation of single input multiple output. However, the priori knowledge of the signal is assumed to be known or the main channels selected from multi-channel output are not self-adaptive and automatic. Presented in this paper is a new method based on dimensionality reduction of ensemble empirical mode decomposition (EEMD), and ICA does not rely on such assumptions. The EEMD represents any time-domain signal as the sum of a finite set of oscillatory components called intrinsic mode functions (IMFs). ICA finds the independent components by maximizing the statistical independence of the dimensionality reduction IMFs. Principal component analysis (PCA) is applied to reduce dimensions of IMFs. The separated performance of EEMD-PCA-ICA algorithm is compared with EEMD-ICA through simulations, and experimental results show EEMD-PCA-ICA algorithm outperforms EEMD-ICA with higher cross-correlation and lower relative root mean squared error (RRMSE).

Journal ArticleDOI
TL;DR: A binary genetic encoding (BGE) representation for the automatic synthesis of mixed-mode circuit topologies, and links SPICE to evaluate the populations with different integrated circuit technologies.
Abstract: A binary genetic encoding (BGE) representation for the automatic synthesis of mixed-mode circuit topologies, is introduced. First, the genetic encoding of unity-gain cells (UGCs), such as voltage (VF) and current followers (CF), and voltage (VM) and current mirrors (CM), is presented. New BGEs for the VM and CM are introduced. Second, the UGC’s chromosomes are combined to synthesize mixed-mode circuit-topologies, namely current conveyors and current-feedback operational amplifiers (CFOA). Five strategies for the combination or superimposing of UGCs are introduced. The proposed BGE has been implemented in MATLABTM, and links SPICE to evaluate the populations with different integrated circuit technologies. Some new synthesized circuit topologies are shown along with their chromosome description.

Journal ArticleDOI
TL;DR: Based on the result of stability, the problem of controller design via the so-called parallel distributed compensation (PDC) scheme is solved and the control is under a positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive.
Abstract: This paper deals with the stability of nonlinear continuous-time positive systems with delays represented by the Takagi–Sugeno (T-S) fuzzy model. A simpler sufficient condition of stability based on linear copositive Lyapunov functional (LCLF) is derived which is not relevant to the magnitude of delays. Based on the result of stability, the problem of controller design via the so-called parallel distributed compensation (PDC) scheme is solved. The control is under a positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. Constrained positive control is also considered, further requiring that the trajectory of the closed-loop system is bounded by a prescribed boundary if the initial condition is bounded by the same boundary. The stability results are formulated as linear programs (LPs) and linear matrix inequalities (LMIs), and the control laws can be obtained by solving a set of bilinear matrix inequalities (BMIs). A numerical example and a real plant are studied to demonstrate the efficiency of the proposed method.

Journal ArticleDOI
TL;DR: A new algorithm for estimating the two-dimensional (2D) nominal direction-of-arrivals (DOAs) of multiple coherently distributed (CD) sources by utilizing three parallel uniform linear arrays (ULAs) is proposed.
Abstract: In this paper, we propose a new algorithm for estimating the two-dimensional (2D) nominal direction-of-arrivals (DOAs) of multiple coherently distributed (CD) sources by utilizing three parallel uniform linear arrays (ULAs). The proposed algorithm firstly shows that some rotational eigenstructures exist approximately for three pair of shifted ULAs. And then a modified propagator method is used to estimate three rotational invariance matrices which denote the rotational eigenstructures. Finally, the nominal angular parameters of CD sources are obtained from the eigenvalues of the rotational invariance matrices. Without spectrum searching, the estimation and eigendecomposition of the sample covariance matrix, our approach is computationally more attractive compared with the earlier algorithms. In addition, it can be applied to the scenario with multiple sources that may have different angular distribution shapes. Simulation results illustrate the performance of the algorithm.

Journal ArticleDOI
TL;DR: A novel low-voltage ultra-low-power class AB current conveyor of the second generation based on folded cascode operational transconductance amplifier OTA with floating-gate differential pairs is presented and its functionality is proved by simulation.
Abstract: In this paper, a novel low-voltage ultra-low-power class AB current conveyor of the second generation based on folded cascode operational transconductance amplifier OTA with floating-gate differential pairs is presented. The main features of the proposed conveyor are design simplicity and rail-to-rail input voltage range at a low supply voltage of ±0.5 V. The proposed conveyor has a reduced power consumption of only 10 μW. Due to these features, the proposed conveyor could be successfully employed in a wide range of low-voltage low-power analog signal processing applications. PSpice simulation results using the 0.18 μm CMOS technology from TSMC are included to prove the results. As an example of application, a current-mode quadrature oscillator is designed and its functionality is proved by simulation.

Journal ArticleDOI
TL;DR: A new voltage-mode first-order phase shifter (all-pass filter) employing only four NMOS transistors and minimum number of passive elements (i.e. one resistor and one capacitor) is proposed, which has high input impedance and does not require passive element matching constraints.
Abstract: In this paper, a new voltage-mode (VM) first-order phase shifter (all-pass filter) employing only four NMOS transistors and minimum number of passive elements (i.e. one resistor and one capacitor) is proposed. The proposed VM phase shifter has high input impedance and does not require passive element matching constraints. Moreover, since only two NMOS transistors are stacked between positive and negative supply voltages, the proposed circuit is suitable for low-voltage operation. Electronic tunability can be provided easily by replacing the employed resistor with an NMOS transistor operating in triode region. Simulation results based on 0.18 μm TSMC CMOS parameters with ±0.9 V supply voltages are given to demonstrate the performance of the proposed phase shifter.

Journal ArticleDOI
TL;DR: Under the nonlinear Lipschitz condition, the proposed robust adaptive fault estimation approach not only estimates the multiplicative faults and system states simultaneously, but also extracts the real effect of the faults.
Abstract: In this paper, a fault estimation problem for a class of nonlinear systems subject to multiplicative faults and unknown disturbances is investigated. Multiplicative faults usually mixed with system states and inputs can cause additional complexity in the design of fault estimator due to parameter changes within process. Especially for the nonlinear system corrupted with unknown disturbances, it is not an easy work to distinguish the real fault factor from the mixed term. Under the nonlinear Lipschitz condition, the proposed robust adaptive fault estimation approach not only estimates the multiplicative faults and system states simultaneously, but also extracts the real effect of the faults. Meanwhile, the effect of disturbances is restricted to an L2 gain performance criteria which can be formulated into the basic feasibility problem of a linear matrix inequality (LMI). In order to reduce the conservatism of the proposed method, a relaxing Lipschitz matrix is introduced. Finally, an illustrative example is applied to verify the efficiency of the proposed robust adaptive estimation scheme.

Journal ArticleDOI
TL;DR: Finite-time stochastic stability and stabilization for a class of linear Markovian jump systems subject to partial information on transition probabilities is considered and a new method is proposed to ensure that the state trajectory remains in a bounded region of the state space in mean square sense over a pre-specified finite-time interval.
Abstract: The problems of finite-time stochastic stability and stabilization for a class of linear Markovian jump systems subject to partial information on transition probabilities are considered in this paper. By introducing the concept of finite-time stochastic stability for linear Markovian jump systems, a new method is proposed to ensure that the state trajectory remains in a bounded region of the state space in mean square sense over a pre-specified finite-time interval. Based on this stability result, the finite-time stochastic stabilization criterion is then given. Finally, two numerical examples are shown to illustrate the effectiveness of the proposed method.

Journal ArticleDOI
TL;DR: Simulation results show that using the pilot pattern designed by either of the two criteria gives a much better performance than using other pilot patterns in terms of the mean-squared error of the channel estimate as well as the bit error rate of the system.
Abstract: The frequency selective channel estimation problem in orthogonal frequency division multiplexing (OFDM) systems is investigated from the perspective of compressed sensing (CS). By minimizing the mutual coherence or the modified mutual coherence of the measurement matrix in CS theory, two criteria for optimizing the pilot pattern for CS-based channel estimation are proposed. Simulation results show that using the pilot pattern designed by either of the two criteria gives a much better performance than using other pilot patterns in terms of the mean-squared error of the channel estimate as well as the bit error rate of the system. Moreover, the optimal pilot pattern designed by minimizing the modified mutual coherence offers a larger performance gain than that obtained by minimizing the mutual coherence.

Journal ArticleDOI
TL;DR: A novel fault tolerant control approach is proposed for a hypersonic unmanned aerial vehicle (UAV) attitude dynamical system with actuator loss-of-effectiveness (LOE) fault on the basis of the dynamic surface control technique, which guarantees the asymptotic output tracking and ultimate uniform boundedness of the closed-loop dynamical systems of UAV in the actuator LOE faulty case.
Abstract: In this paper, a novel fault tolerant control (FTC) approach is proposed for a hypersonic unmanned aerial vehicle (UAV) attitude dynamical system with actuator loss-of-effectiveness (LOE) fault. Firstly, the nonlinear attitude dynamics of hypersonic UAV is given, which represents the dynamic characteristics of UAV in ascent/reentry phases. Then a fault detection scheme is presented by designing a nonlinear fault detection observer (FDO) for the faulty attitude dynamical system of UAV. Moreover, the fault tolerant control scheme is proposed on the basis of the dynamic surface control technique, which guarantees the asymptotic output tracking and ultimate uniform boundedness of the closed-loop dynamical systems of UAV in the actuator LOE faulty case. Finally, simulation results are given to illustrate the effectiveness of the developed FTC scheme.

Journal ArticleDOI
TL;DR: A new control scheme, which is termed networked predictive control with optimal estimation, is presented, based on Multirate Kalman Filtering, where the measured data which are out of sequence or delayed can be used to improve the precision of estimation.
Abstract: This paper is concerned with the design of networked control systems with random network-induced delay and data dropout. It presents a new control scheme, which is termed networked predictive control with optimal estimation. Based on Multirate Kalman Filtering, the measured data which are out of sequence or delayed can be used to improve the precision of estimation. The control prediction generator provides a set of future control predictions to make the closed-loop system achieve the desired control performance and the compensator removes the effects of the network transmission with time delay and data dropout. Simulation results are presented to illustrate the effectiveness of the control strategy via comparing with control schemes without any compensation for the network.

Journal ArticleDOI
TL;DR: A low-power, high-speed and high-resolution voltage-mode Min-Max circuit, as well as a new efficient universal structure for determining the minimum and maximum values of the input digital signals, is proposed for nanotechnology.
Abstract: In this paper a low-power, high-speed and high-resolution voltage-mode Min-Max circuit, as well as a new efficient universal structure for determining the minimum and maximum values of the input digital signals, is proposed for nanotechnology. In addition, the proposed designs provide rail-to-rail input and output signals which enhance the performance and the robustness of the circuits. The advantage of the proposed Min-Max circuit is that it is extendable for any arbitrary n-digit and radix-r input numbers. Comprehensive simulation results at CMOS and CNFET technologies demonstrate the low-power and high-performance operation as well as insusceptibility to PVT variations of the proposed structure.

Journal ArticleDOI
TL;DR: Some numerical results are presented together with a polarization generalized likelihood ratio test (GLRT), showing that the derived detectors provide excellent detection performance in spiky clutter for distributed targets, and that the polarimetric diversity can be exploited to improve detection performance.
Abstract: In high resolution radars, the distributed target is usually modeled as a few isolated points referred to multiple dominant scattering centers, while the clutter is a compound-Gaussian model. Additionally, the polarimetric diversity can be exploited to enhance detection performance. Motivated by extending the detection problem of multiple-input multiple-output (MIMO) radar to such cases, this paper mainly addresses distributed targets detection problem with polarization MIMO radar against a compound-Gaussian clutter dominated scenario with unknown covariance matrix. The adaptive detectors based on Rao and Wald criteria are studied, and a two-step design procedure is adopted. Specifically, the Rao and Wald tests are derived by assuming a known covariance matrix, and then a suitable estimation of the covariance matrix based on the secondary data is inserted into the derived detectors to make them fully adaptive. Some numerical results are presented together with a polarization generalized likelihood ratio test (GLRT), showing that the derived detectors provide excellent detection performance in spiky clutter for distributed targets, and that the polarimetric diversity can be exploited to improve detection performance. Overall, the Wald test performs the best.

Journal ArticleDOI
TL;DR: Results show that the polarimetric diversity and the spatial diversity can be exploited to improve the detection performance, and it outperforms the conventional polarIMetric phased-array counterpart.
Abstract: This paper mainly deals with target detecting problem using polarimetric Multiple Input Multiple Output (MIMO) radar against Spherically Invariant Random Vector (SIRV) clutter. First, we develop the MIMO signal model to two polarimetric channels and SIRV clutter-dominated scenario, and then the Generalized Likelihood Ratio Test (GLRT) is derived with known covariance structure. Meanwhile, three estimation strategies of covariance, such that Sampled Covariance Matrix (SCM), Normalized Sampled Covariance Matrix (NSCM) and Fixed Point Estimation (FPE) matrix, are introduced to make derived receiver fully adaptive. A thorough performance assessment is given by several numerical examples, and the results show that the polarimetric diversity and the spatial diversity can be exploited to improve the detection performance, and it outperforms the conventional polarimetric phased-array counterpart. Meanwhile, the FPE strategy is more suitable to implement the adaptive detection algorithm, the adaptive loss of which is completely acceptable in practical applications.

Journal ArticleDOI
TL;DR: The proposed VOP detection is designed to overcome most of the shortcomings of the existing methods and provide accurate detection of VOPs for improving the performance of spotting and recognition of CV units.
Abstract: In this paper, we propose an efficient approach to spotting and recognition of consonant-vowel (CV) units from continuous speech using accurate detection of vowel onset points (VOPs). Existing methods for VOP detection suffer from lack of high accuracy, spurious VOPs, and missed VOPs. The proposed VOP detection is designed to overcome most of the shortcomings of the existing methods and provide accurate detection of VOPs for improving the performance of spotting and recognition of CV units. The proposed method for VOP detection is carried out in two levels. At the first level, VOPs are detected by combining the complementary evidence from excitation source, spectral peaks, and modulation spectrum. At the second level, hypothesized VOPs are verified (genuine or spurious), and their positions are corrected using the uniform epoch intervals present in the vowel regions. The spotted CV units are recognized using a two-stage CV recognizer. Two-stage CV recognition system consists of hidden Markov models (HMMs) at the first stage for recognizing the vowel category of a CV unit and support vector machines (SVMs) for recognizing the consonant category of a CV unit at the second stage. Performance of spotting and recognition of CV units from continuous speech is evaluated using Telugu broadcast news speech corpus.

Journal ArticleDOI
TL;DR: This paper investigates the finite-time stability problem for a class of discrete-time switched linear systems with impulse effects and shows that the total activation time of unstable subsystems can be greater than that of stable subsystems.
Abstract: This paper investigates the finite-time stability problem for a class of discrete-time switched linear systems with impulse effects. Based on the average dwell time approach, a sufficient condition is established which ensures that the state trajectory of the system remains in a bounded region of the state space over a pre-specified finite time interval. Different from the traditional condition for asymptotic stability of switched systems, it is shown that the total activation time of unstable subsystems can be greater than that of stable subsystems. Moreover, the finite-time stability degree can also be greater than one. Two examples are given to illustrate the merit of the proposed method.

Journal ArticleDOI
TL;DR: This paper investigates the problem of sliding mode control (SMC) for uncertain switched stochastic system with time-varying delay with a sufficient condition for mean-square exponential stability of the sliding mode developed under a class of switching laws based on the average dwell time method.
Abstract: This paper investigates the problem of sliding mode control (SMC) for uncertain switched stochastic system with time-varying delay. The system under consideration is concerned with the stochastic dynamics and deterministic switching laws. An integral sliding surface is constructed and the stable sliding mode is derived. A sufficient condition for mean-square exponential stability of the sliding mode is developed under a class of switching laws based on the average dwell time method. Variable structure controllers are designed to guarantee the existence of the sliding mode from the initial time. An illustrative example is used to demonstrate the effectiveness of the proposed scheme.