Zhengrong Xiang

Robust reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching

This paper investigates the robust reliable control for a class of uncertain switched nonlinear systems with time delay. Firstly, a criterion for switched nonlinear system with time delay is proposed to guarantee exponential stability. Then, a design methodology of the robust reliable control for switched nonlinear systems with time delay and parameter uncertainties is presented. The proposed state feedback controller, which guarantees exponential stability of closed-loop system, can be obtained using a set of linear matrix inequalities(LMIs), Finally, a numerical example is given to illustrate the effectiveness of the main results.

Asynchronous L1 control of delayed switched positive systems with mode-dependent average dwell time

Abstract This paper investigates the stability and asynchronous L 1 control problems for a class of switched positive linear systems (SPLSs) with time-varying delays by using the mode-dependent average dwell time (MDADT) approach. By allowing the co-positive type Lyapunov–Krasovskii functional to increase during the running time of active subsystems, a new stability criterion for the underlying system with MDADT is first derived. Then, the obtained results are extended to study the issue of asynchronous L 1 control, where “asynchronous” means that the switching of the controllers has a lag with respect to that of system modes. Sufficient conditions are provided to guarantee that the resulting closed-loop system is exponentially stable and has an L 1 -gain performance. Finally, two numerical examples are given to show the effectiveness of the developed results.

Robust reliable stabilization of uncertain switched neutral systems with delayed switching

This paper investigates the problem of robust reliable control for a class of uncertain switched neutral systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system and the parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee exponential stability and reliability for switched neutral systems, and the dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method.

Finite-time analysis and H∞ control for switched stochastic systems

This paper is concerned with the finite-time stability, boundedness and HN control problems for a class of switched stochastic systems. Using the average dwell time method and the multiple Lyapunov-like function technique, some sufficient conditions are proposed to guarantee the finitetime properties for the switched stochastic systems in the form of matrix inequalities. Also, a state feedback controller for the finite-time HN control problem is obtained. An example is employed to verify the effectiveness of the proposed method. & 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Robust reliable stabilization of stochastic switched nonlinear systems under asynchronous switching

This paper is concerned with the problem of robust reliable control for a class of uncertain stochastic switched nonlinear systems under asynchronous switching, where the switching instants of the controller experience delays with respect to those of the system. A design scheme for the reliable controller is proposed to guarantee almost surely exponential stability for stochastic switched systems with actuator failures, and the dwell time approach is utilized for the stability analysis. Then the approach is extended to take into account stochastic switched system with Lipschitz nonlinearities and structured uncertainties. Finally, a numerical example is employed to verify the proposed method.

Adaptive neural finite-time control for a class of switched nonlinear systems

This paper investigates the adaptive finite-time stabilization of a class of switched nonlinear systems with unknown nonlinear terms using neural networks. Under the assumption that all the growth conditions for the unknown nonlinear perturbation functions are partially known, the common finite-time controller and adaptive law are constructed by extending the adding-a-power-integrator technique and using the backstepping methodology. The unknown parts of the growth conditions are modeled by the neural networks and the known parts are exploited for the controller design. The bounds of neural network approximation errors are assumed to be unknown and are estimated online. It is shown that the state of the closed-loop system is finite-time stable and the parameter estimations are bounded under arbitrary switching. A simulation example is provided to show the effectiveness of the proposed method.

Stability Analysis and Stabilization of Discrete-Time 2D Switched Systems

This paper is concerned with stability analysis and stabilization problems for two-dimensional (2D) discrete switched systems represented by a model of Roesser type. First, sufficient conditions for the exponential stability of the 2D discrete switched system are derived via the average dwell time approach. Then, based on this result, a state feedback controller is designed to achieve the exponential stability of the corresponding closed-loop system. All the results are presented in linear matrix inequalities (LMIs) form. A numerical example is given to illustrate the effectiveness of the proposed method.

Stability analysis of switched systems under dynamical dwell time control approach

This article investigates the stability of a class of switched systems using dynamical dwell time approach. First, the condition for stability of switched systems whose subsystems are stable are presented with dynamical dwell time approach, which is shown to be less conservative in switching law design than dwell time approach. Then the proposed approach is extended to the switched systems with both stable and unstable subsystems. Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.

Asynchronously switched control of discrete impulsive switched systems with time delays

This paper is concerned with the stabilization problem for a class of uncertain discrete impulsive switched delay systems under asynchronous switching. The so-called asynchronous switching means that the switches between the candidate controllers and system modes are asynchronous. By using the average dwell time (ADT) approach, sufficient conditions for the existence of an asynchronously switched controller is derived such that the resulting closed-loop system is exponentially stable. The desired controller gains and the admissible switching signals are obtained in terms of a set of matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed method.

Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays

This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for discrete impulsive switched systems with state delays. Sufficient conditions are presented for the existence of IO-FTS for such systems under the cases of certain switching, arbitrary switching, and uncertain switching. All the obtained results are formulated in a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed results.