Showing papers by "Peng Shi published in 2003"

H/sub /spl infin// fuzzy output feedback control design for nonlinear systems: an LMI approach

Abstract: Addresses the problem of stabilizing a class of nonlinear systems by using an H/sub /spl infin// fuzzy output feedback controller First, a class of nonlinear systems is approximated by a Takagi-Sugeno (TS) fuzzy model Then, based on a well-known Lyapunov functional approach, we develop a technique for designing an H/sub /spl infin// fuzzy output feedback control law which guarantees the L/sub 2/ gain from an exogenous input to a regulated output is less or equal to a prescribed value A design algorithm for constructing an H/sub /spl infin// fuzzy output feedback controller is given In contrast to the existing results, the premise variables of the H/sub /spl infin// fuzzy output feedback controller are not necessarily to be the same as the premise variables of the TS fuzzy model of the plant A numerical simulation example is presented to illustrate the theory development

Robust Kalman filtering for continuous time-lag systems with Markovian jump parameters

Abstract: The problem of continuous-time Kalman filtering for a class of linear, uncertain time-lag systems with randomly jumping parameters is considered. The parameter uncertainties are norm bounded and the transitions of the jumping parameters are governed by a finite-state Markov process. We establish LMI-based sufficient conditions for stochastic stability. The conditions under which a linear delay-less state estimator guarantees that the estimation error covariance lies within a prescribed bound for all admissible uncertainties are investigated. It is established that a robust Kalman filter algorithm can be determined in terms of two Riccati equations involving scalar parameters. The developed theory is illustrated by a numerical example.

Robust stability, stabilization and H-infinity control of time-delay systems with Markovian jump parameters

Abstract: In this paper, the problems of stochastic stability and stabilization for a class of uncertain time-delay systems with Markovian jump parameters are investigated. The jumping parameters are modelled as a continuous-time, discrete-state Markov process. The parametric uncertainties are assumed to be real, timevarying and norm-bounded that appear in the state, input and delayed-state matrices. The time-delay factor is constant and unknown with a known bound. Complete results for both delay-independent and delay-dependent stochastic stability criteria for the nominal and uncertain time-delay jumping systems are developed. The control objective is to design a state feedback controller such that stochastic stability and a prescribed H1-performance are guaranteed. We establish that the control problem for the time-delay Markovian jump systems with and without uncertain parameters can be essentially solved in terms of the solutions of a finite set of coupled algebraic Riccati inequalities or linear matrix inequalities. Extension of the developed results to the case of uncertain jumping rates is also provided.

Technical Communique: Fuzzy H∞ output feedback control of nonlinear systems under sampled measurements

Abstract: This paper studies the problem of designing an H"~ fuzzy feedback control for a class of nonlinear systems described by a continuous-time fuzzy system model under sampled output measurements. The premise variables of the fuzzy system model are allowed to be unavailable. We develop a technique for designing an H"~ fuzzy feedback control that guarantees the L"2 gain from an exogenous input to a controlled output is less than or equal to a prescribed value. A design algorithm for constructing the H"~ fuzzy feedback controller is given.

Fuzzy Output Feedback Control Design for Nonlinear Systems: An LMI Approach

Abstract: This paper addresses the problem of stabilizing a class of nonlinear systems by using an fuzzy output feedback controller. First, a class of nonlinear systems is approximated by a Takagi-Sugeno (TS) fuzzy model. Then, based on a well-known Lyapunov functional approach, we develop a technique for designing an fuzzy output feedback control law which guarantees the gain from an exogenous input to a regulated output is less or equal to a prescribed value. A design algorithm for constructing an fuzzy output feedback controller is given. In contrast to the existing results, the premise variables of the fuzzy output feedback controller are not necessarily to be the same as the premise variables of the TS fuzzy model of the plant. A numerical simulation example is presented to illustrate the theory development.

Robust disturbance attenuation for discrete‐time active fault tolerant control systems with uncertainties

Abstract: The problems of stochastic stability and stochastic disturbance attenuation for a class of linear discretetime systems are considered in this paper. The system under study is a state space model possessing two Markovian jump parameters: one is failure process and another is failure detection and isolation scheme. A controller is designed to guarantee the stochastic stability and a disturbance attenuation level. Robustness problems for the above system with norm-bounded parameter uncertainties are also investigated. It is shown that the uncertain system can be robustly stochastically stabilized and have a robust disturbance attenuation level for all admissible perturbations if a set of coupled Riccati inequalities has solutions. A numerical example is given to show the potential of the proposed technique. Copyright

On stochastic stabilization of discrete-time Markovian jump systems with delay in state

Abstract: In this paper, we investigate the stochastic stabilization problem for a class of linear discrete time-delay systems with Markovian jump parameters. The jump parameters considered here is modeled by a discrete-time Markov chain. Our attention is focused on the design of linear state feedback memoryless controller such that stochastic stability of the resulting closed-loop system is guaranteed when the system under consideration is either with or without parameter uncertainties. Sufficient conditions are proposed to solve the above problems, which are in terms of a set of solutions of coupled matrix inequalities.

Observer-based robust H ∞ , control for uncertain time-delay systems

Abstract: In this paper, we present a method for the construction of a robust observer-based H ∞ controller for an uncertain time-delay system. Cases of both single and multiple delays are considered. The parameter uncertainties are time-varying and norm-bounded. Observer and controller are designed to be such that the uncertain system is stable and a disturbance attenuation is guaranteed, regardless of the uncertainties. It has been shown that the above problem can be solved in terms of two linear matrix inequalities (LMIs). Finally, an illustrative example is given to show the effectiveness of the proposed techniques.

Resilient guaranteed cost control for uncertain discrete linear jump systems

Abstract: Robust stochastic stabilization and guaranteed cost control for a class of uncertain discrete-time linear system with Markovian jumping parameters are discussed. Two classes of controller gain perturbations, additive and multiplicative, are considered. The necessary and sufficient conditions for the above problems are derived, which are in terms of positive-definite solutions of a set of coupled linear matrix inequalities (LMIs). Furthermore, resilient guaranteed cost controllers are designed. Finally, numerical examples are presented to illustrate the solvability and effectiveness of the results.

Robust guaranteed cost control for uncertain discrete time-delay systems via dynamic output feedback

Abstract: The problem of robust guaranteed cost control for a class of time-varying uncertain discrete delay systems is studied. The guaranteed cost control law is implemented by using a dynamic output feedback compensator. The proposed methods are given in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the proposed methods.

Transient Distribution of the Length of GI/G/N Queueing Systems

Abstract: In this paper, we first present the backward equations of Markov skeleton processes, which are then applied to GI/G/N queueing systems.Transient distribution of the length of GI/G/N queueing system is obtained.

Output feedback stabilization and disturbance attenuation of time-delay jumping systems

Abstract: The problems of stochastic stabilization and control for a class of linear time-delay systems with Markovian jump parameters via output feedback are investigated. The jumping parameters are modelled as a continuous-time, discrete-state Markov process. The delay factor is unknown and time-varying with a known bound. Concepts of weak and strong delay-dependent stochastic stability are introduced and appropriate criteria to be applied to the jumping systems are developed. The control objective is to design an output–feedback controller such that stochastic stability and a prescribedH∞-like performance for a closedloop system are guaranteed. We establish that the stability and stabilization problems for the time-delay Markovian jump systems can be essentially solved in terms of the solutions of a finite set of coupled linear matrix inequalities. We show that in the case of weak delay-dependency, the controller is of arbitrary order and the associated gain matrices are computed implicitly. In the case of strong weak coupling the controller is of full order and explicit expressions are given for the associated gain matrices.

Robust H-infinity filtering for a class of linear jumping discrete-time delay systems

Abstract: In this paper, we examine the robust H-infinity filtering problem for a class of linear, uncertain discrete delay systems with Markovian jump parameters. The uncertainties are time-varying and norm-bounded parametric uncertainties and the delay factor is arbitrary constant. We provide initially a robust stochastic stability result with a prescribed performance measure. Then we design a linear causal filter using algebraic inequality procedure which ensures a prescribed disturbance attenuation level from the disturbance signal to the filtering error.

Using agent based distillations to model civil violence management

Abstract: A model of civil violence has recently been built and studied by Joshua Epstein at the Center on Social and Economic Dynamics in the USA using a remarkably simple cellular automata (CA) simulation. However, the model and its analysis were based on the assumption that the entities have purely random movement, which limits the degree of realism of the model. The Australian Defence Science and Technology Organisation (DSTO) has access to a more sophisticated CA simulation known as MANA, developed by the Defence Technology Agency in NZ. Recently, DSTO has developed a similar civil violence model to incorporate various movement strategies of the entities by using the MANA simulation. This paper describes the model and the analysis of the data, which included graphical, statistical and game theory techniques, and which provide some initial thoughts on the effectiveness of various strategies for managing civil violence. These results may also have applicability in other Operations Other Than War (OOTW) scenarios, including peace keeping and counter-terrorism. Finally, based on the analysis, two extensions to the MANA model are suggested.