Showing papers in "International Journal of Systems Science in 2018"
TL;DR: This paper defines some Einstein operations on cubic fuzzy set (CFS) and develops three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubic fuzzy Albert Einstein ordered weighted averaged (CFEOWA)operator and cubic fuzzyAlbert Einstein hybrid weighted averaging(CFEHWA)operator, for aggregating cubic fuzzy data.
Abstract: In this paper, we define some Einstein operations on cubic fuzzy set (CFS) and develop three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubi...
81 citations
TL;DR: Two novel sufficient conditions for achieving the cooperative control of a class of fractional-order nonlinear multi-agent systems are derived using the distributed impulsive control method.
Abstract: The coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control method is studied in this paper. Based on the theory of impulsive differential equations, algebr...
71 citations
TL;DR: A controller which ensures the driving stability of a four-wheel-independent-drive electric vehicle (4WID-EV) is designed in this paper and a simulation model of the stability control system is established based on Carsim-Matlab/Simulink.
Abstract: A controller which ensures the driving stability of a four-wheel-independent-drive electric vehicle (4WID-EV) is designed in this paper. The controller is structurally hierarchically designed. In o...
62 citations
TL;DR: A new operator based on the IFS and D-S evidence theory, named as intuitionistic fuzzy evidential power average (IFEPA) aggregation operator, is proposed, which is objective and reasonable because it is completely driven by data once some parameters are required.
Abstract: The theory of intuitionistic fuzzy sets (IFS) is widely used for dealing with vagueness and the Dempster--Shafer (D-S) evidence theory has a widespread use in multiple criteria decision-making prob...
61 citations
TL;DR: The presented stability criteria are described in terms of the linear matrix inequalities and the advantage of the proposed method is that one may avoid calculating the fractional-order derivative of the Lyapunov functional.
Abstract: This paper is concerned with the asymptotic stability of the Riemann–Liouville fractional-order neural networks with discrete and distributed delays. By constructing a suitable Lyapunov functional,...
60 citations
TL;DR: This work extends SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and defines Schweizer–Sklar operational rules of IVIFNs and develops two methods on the basis of IVifSSPWA and IVIFSSPWG operators to deal with the MAGDM problems based on supplier selection.
Abstract: Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attri...
48 citations
TL;DR: It is shown that the proposed robust adaptive control law is able to guarantee semi-global uniform ultimate bounded stability of the closed-loop system.
Abstract: In this paper, a new robust adaptive controller is investigated to force an underactuated surface marine vessel to follow a predefined parameterised path at a desired speed, despite actuator satura...
45 citations
TL;DR: A decomposition-based recursive generalised least squares algorithm is deduced for estimating the system parameters by decomposing the multivariate pseudo-linear autoregressive system into two subsystems by means of the multi-innovation theory.
Abstract: This paper studies the parameter estimation algorithms of multivariate pseudo-linear autoregressive systems. A decomposition-based recursive generalised least squares algorithm is deduced for estimating the system parameters by decomposing the multivariate pseudo-linear autoregressive system into two subsystems. In order to further improve the parameter accuracy, a decomposition based multi-innovation recursive generalised least squares algorithm is developed by means of the multi-innovation theory. The simulation results confirm that these two algorithms are effective.
42 citations
SIDI1
TL;DR: A new Lyapunov–Krasovskii functional is proposed to develop new delay-dependent criteria, that ensures the considered system to be regular, impulse free and stable in terms of linear matrix inequalities.
Abstract: In this paper, the problem of delay-dependent robust stability for singular time-delay systems is investigated. The parametric uncertainties are assumed to be norm bounded. Based on the idea of delay partitioning, A new Lyapunov–Krasovskii functional is proposed to develop new delay-dependent criteria, that ensures the considered system to be regular, impulse free and stable in terms of linear matrix inequalities. Furthermore, the Wirtinger-based integral inequality approach has been employed to derive less conservative results. Finally, some numerical examples are provided to demonstrate the effectiveness of the obtained results and for comparison with previous works.
34 citations
TL;DR: Based on multiple Lyapunov function method and the average dwell time approach, a sufficient condition for exponential stability of such systems under event-triggered state-feedback controller is derived and it is shown that there exists a positive lower bound for any two consecutive inter-event instants.
Abstract: In this paper, the event-triggered stabilisation problem for a class of switched systems with actuator saturation is investigated. Based on multiple Lyapunov function method and the average dwell t...
34 citations
TL;DR: This paper investigates the problem of multi-target localisation and circumnavigation by a multi-agent system in two-dimensional space, where each target's bearing measurement can be obtained by at least one agent.
Abstract: This paper investigates the problem of multi-target localisation and circumnavigation by a multi-agent system in two-dimensional space, where each target's bearing measurement can be obtained by at least one agent. Both stationary and slowly-moving targets are considered. An estimator is designed to estimate the target position; then a distributed estimation algorithm is designed for each agent to cooperatively estimate the centroid of multi-target; and finally, based on the first two steps, a circumnavigation controller is devised to guarantee that each agent circumnavigates all targets around the multi-target centroid with a desired radius. The convergence of the estimation algorithm and the stability of the circumnavigation controller are proved. A numerical simulation is provided to verify the correctness of the conclusion and the effectiveness of the proposed algorithm.
TL;DR: This work investigates the coordination control problem for multiple distributed generation (DG) units with a hierarchical control structure and proposes an event-triggered power sharing strategy based on the concept of multi-agent consensus for the DG coordination control.
Abstract: This work investigates the coordination control problem for multiple distributed generation (DG) units with a hierarchical control structure. At the secondary control level, an event-triggered power sharing strategy based on the concept of multi-agent consensus has been proposed for the DG coordination control. Unlike existing consensus-based DG control approaches, the proposed control algorithm is based on sampled data. Thus the event triggering and controller updating actions can only be executed at the sampling time instants. To further reduce the amount of communication among DGs, the proposed event-triggered algorithm is extended to a self-triggered algorithm, where the inter-agent communication transmission is no longer required to be executed at each sampling time instant. The case study results show that the self-triggered algorithm can achieve nearly the same performance on DG coordination as that of the event-triggered algorithm, while significantly reduces the amount of communication.
TL;DR: A hybrid robust control scheme of iterative learning control combined with feedback control is proposed, which includes a robust extended feedback control for ensuring the steady-state tracking error to converge rapidly.
Abstract: In order to cope with system disturbances in multi-phase batch processes with different dimensions, a hybrid robust control scheme of iterative learning control combined with feedback control is proposed in this paper. First, with a hybrid iterative learning control law designed by introducing the state error, the tracking error and the extended information, the multi-phase batch process is converted into a two-dimensional Fornasini–Marchesini (2D-FM) switched system with different dimensions. Second, a switching signal is designed using the average dwell-time method integrated with the related switching conditions to give sufficient conditions ensuring stable running for the system. Finally, the minimum running time of the subsystems and the control law gains are calculated by solving the linear matrix inequalities. Meanwhile, a compound 2D controller with robust performance is obtained, which includes a robust extended feedback control for ensuring the steady-state tracking error to converge rap...
TL;DR: A robust fractional-order controller is designed to control the congestion in transmission control protocol (TCP) networks with time-varying parameters and can conclude from NS-2 simulations that the average packet loss probability variations are negligible when the network parameters change.
Abstract: In this paper, a robust fractional-order controller is designed to control the congestion in transmission control protocol (TCP) networks with time-varying parameters. Fractional controllers can in...
TL;DR: A three-dimensional autonomous chaotic flow without linear terms is investigated through eigenvalue structures, phase portraits, bifurcation diagram, Lyapunov exponents and basin of attraction, showing that the chaotic attractor is self-excited.
Abstract: This paper investigates a three-dimensional autonomous chaotic flow without linear terms. Dynamical behaviour of the proposed system is investigated through eigenvalue structures, phase por...
TL;DR: This paper is concerned with the problem of adaptive synchronisation for two different kinds of memristor-based neural networks with time delays in leakage terms, and synchronisation criteria are obtained via linear matrix inequalities technique.
Abstract: Chaotic synchronisation has caused extensive attention due to its potential application in secure communication. This paper is concerned with the problem of adaptive synchronisation for two different kinds of memristor-based neural networks with time delays in leakage terms. By applying set-valued maps and differential inclusions theories, synchronisation criteria are obtained via linear matrix inequalities technique, which guarantee drive system being synchronised with response system under adaptive control laws. Finally, a numerical example is given to illustrate the feasibility of our theoretical results, and two schemes for secure communication are introduced based on chaotic masking method.
TL;DR: It is shown that the control protocol can improve the systems’ convergence speed and judge the systems' stability in this paper, two classic continuous Lyapunov candidate functions are chosen.
Abstract: Leaderless consensus for the fractional-order nonlinear multi-agent systems is investigated in this paper. At the first part, a control protocol is proposed to achieve leaderless consensus for the nonlinear single-integrator multi-agent systems. At the second part, based on sliding mode estimator, a control protocol is given to solve leaderless consensus for the the nonlinear single-integrator multi-agent systems. It shows that the control protocol can improve the systems’ convergence speed. At the third part, a control protocol is designed to accomplish leaderless consensus for the nonlinear double-integrator multi-agent systems. To judge the systems’ stability in this paper, two classic continuous Lyapunov candidate functions are chosen. Finally, several worked out examples under directed interaction topology are given to prove above results.
TL;DR: An adaptive prescribed performance output-feedback control scheme is proposed for a class of switched nonlinear systems with input saturation and it is proved that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded.
Abstract: In this paper, an adaptive prescribed performance output-feedback control scheme is proposed for a class of switched nonlinear systems with input saturation. The MT-filters are employed to estimate...
TL;DR: This paper investigates the algebraic formulation and strategy consensus for a class of networked evolutionary games (NEGs) with ‘unconditional imitation updating rule’ with semi-tensor product method, and presents a number of new results.
Abstract: Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy consensus for a class of networked evolutionary games (NEGs) with ‘unconditional imitation updat...
TL;DR: This paper is concerned with a class of neutral-type competitive neural networks with multi-proportional delays, distributed delays and leakage delays with differential inequality theory employed to ensure that all solutions of the addressed system converge exponentially to zero vector.
Abstract: This paper is concerned with a class of neutral-type competitive neural networks with multi-proportional delays, distributed delays and leakage delays. By employing the differential inequality theo...
TL;DR: The robustness of yaw stability for DDEV can be guaranteed by the proposed MPC-CCS, a novel model predictive controller-based compensation control system that is evaluated on eight degrees of freedom simulation platform and simulation results show the effectiveness.
Abstract: Conventional yaw stability strategy of distributed drive electric vehicle (DDEV) is usually realised by torque distribution strategy. However, the instantaneous variations of four independent tyres...
TL;DR: An H∞ control scheme is designed under the considerations of periodic state feedback control input and iterative optimisation for a class of continuous-time linear periodic piecewise systems with time delay.
Abstract: This paper investigates the H∞ control problem based on exponential stability and weighted L2-gain analyses for a class of continuous-time linear periodic piecewise systems with time delay. A periodic piecewise Lyapunov–Krasovskii functional is developed by integrating a discontinuous time-varying matrix function with two global terms. By applying the improved constraints to the stability and L2-gain analyses, sufficient delay-dependent exponential stability and weighted L2-gain criteria are proposed for the periodic piecewise time-delay system. Based on these analyses, an H∞ control scheme is designed under the considerations of periodic state feedback control input and iterative optimisation. Finally, numerical examples are presented to illustrate the effectiveness of our proposed conditions.
TL;DR: The actuator fault problem is studied for a two-link rigid-flexible manipulator system in the presence of boundary disturbance and state constraint and it is proved that the closed-loop system has asymptotic stability by LaSalle Invariance Principle.
Abstract: In this paper, the actuator fault problem is studied for a two-link rigid-flexible manipulator system in the presence of boundary disturbance and state constraint. The system consists of a rigid be...
TL;DR: Using the well-known generalised Kalman Yakubovich Popov lemma and homogeneous polynomially parameter-dependent matrices of arbitrary degrees, sufficient conditions for the existence of H∞ filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities.
Abstract: This paper investigates the design problem of robust H∞ filtering for uncertain two-dimensional (2D) continuous systems described by Roesser model with polytopic uncertainties and frequency domain specifications. Our aim is to design a new filter guaranteeing an H∞ performance level in specific finite frequency (FF) domains. Using the well-known generalised Kalman Yakubovich Popov lemma and homogeneous polynomially parameter-dependent matrices of arbitrary degrees, sufficient conditions for the existence of H∞ filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities. Illustrative examples are provided to show the usefulness and potential of the proposed results.
TL;DR: A novel sliding mode observer is proposed that can simultaneously estimate the system states, actuator and sensor faults with good accuracy, and a new sliding mode control scheme is developed, which can effectively eliminate the influence of actuator fault.
Abstract: In this paper, a fault estimation and fault-tolerant control problem for a class of T-S fuzzy stochastic time-delay systems with actuator and sensor faults is investigated. A novel sliding mode observer is proposed, which can simultaneously estimate the system states, actuator and sensor faults with good accuracy. Based on the state and actuator fault estimation, a new sliding mode control scheme is developed, which can effectively eliminate the influence of actuator fault. Sufficient conditions for the existence of the proposed observer and fault-tolerant sliding mode controller are provided in terms of linear matrix inequality, and moreover, the reachability of the sliding mode surface can be guaranteed under the proposed control scheme. The propose sliding mode observer and fault-tolerant sliding mode controller can overcome the restrictive assumption that the input matrix of all local modes is the same. Finally, a numerical example is provided to verify the effectiveness of the proposed slidin...
TL;DR: Second, a more proper Lyapunov–Krasovskii functional is constructed by adding some integral terms to quadratic forms to obtain less conservative conditions, and the free-matrix-based integral inequality is adopted to estimate the derivative of LKF.
Abstract: This paper concerns the stability problem of singular systems with time-varying delay. First, the singular system with time-varying delay is transformed into the neutral system with time-varying de...
TL;DR: This study reduces the conservativeness of the existing design of the entire frequency range and includes it as special case with the aid of Generalised Kalman–Yakubovi–Popov (GKYP) lemma.
Abstract: This paper deals with the design problem of observer-based H∞ control in finite frequency (FF) domain for discrete-time Takagi–Sugeno (T–S) fuzzy systems. With the aid of Generalised Kalman–Yakubovic˘–Popov (GKYP) lemma, new conditions guaranteeing the FF H∞ performance of the T–S fuzzy systems are derived in terms of Linear Matrix Inequalities. This study reduces the conservativeness of the existing design of the entire frequency range and includes it as special case. In the end, some examples are provided to illustrate the effectiveness of the proposed strategy.
TL;DR: A fuzzy state-feedback controller scheme is designed to stabilise the positive switched T-S fuzzy delayed system, while guaranteeing the positivity and asymptotical stability with standard L1 performance in closed loop.
Abstract: In this paper, the stabilisation problem for positive switched T-S fuzzy delayed systems under standard L1 and L∞ performance is addressed. First, by proposing a time-scheduled multiple linear copo...
TL;DR: This paper designs homogenous output feedback controllers for nominal switched nonlinear systems by adding a power integrator method and employs the homogeneous domination approach to scale homogeneous observers and controllers to render switched non linear systems with lower-triangular homogenous growth condition globally finite-time stable.
Abstract: This paper is concerned with the problem of global finite-time control for switched nonlinear systems whose nonlinear terms satisfy homogenous growth conditions. At first, we design homogenous outp...
TL;DR: A robust observer-based optimal linear quadratic digital tracker (LQDT) is developed that is able to recover the displacement of the rotor to the pre-specified trajectory position whenever it deviates from such trajectory.
Abstract: This paper presents three observer/Kalman filter identification (OKID) approaches and develops a robust observer-based optimal linear quadratic digital tracker (LQDT) for the five-degree-of-freedom (five-DOF) sampled-data active magnetic bearing (AMB) system with various disturbances. The more detailed objectives are: (i) to construct both an equivalent linear time-invariant discrete-time model and its state estimator via the proposed OKID approaches for the AMB system, which might be an unknown nonlinear time-varying unstable system with both a specified rotation speed and a sampling rate; (ii) to provide an adaptive disturbance estimation scheme, which establishes an equivalent input disturbance (EID) estimator for the AMB system with unexpected disturbances; and (iii) to develop a robust observer-based optimal LQDT for the sampled-data AMB system with both a pre-specified time-varying speed and unexpected disturbances. The developed LQDT is able to recover the displacement of the rotor to the p...