Stabilization of discrete-time switched linear singular systems via a stochastic approach
نویسندگان
چکیده
A stochastic stabilization problem for a class of discrete-time switched linear singular system is considered in this paper. By using the Bernoulli variable, a kind of stochastic controller is developed, which ensures the discrete-time switched linear singular system stochastically stable. Based on a linear matrix inequality technology, a sufficient existence condition for such new controller is proposed, which bridges the gain-scheduled and gain-common controller design methods. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.
منابع مشابه
A new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملStability and Stabilization for Singular Markov Switched Systems with Time Delays
The stability and stabilization of linear continuous time singular Markov switched systems with time delay are investigated. Based on the linear matrix inequality method (LMIs), the robust stability of uncertain linear stochastic delay system is guaranteed irrespective of the value of the time delay. Then the proposed theory can be extended to discuss the robust stabilization of uncertain stoch...
متن کاملRobust stability and stabilization of nonlinear uncertain stochastic switched discrete-time systems with interval time-varying delays
This paper is concerned with robust stability and stabilization of nonlinear uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the robust stability...
متن کاملSwitching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems
This paper is concerned with asymptotic stability and stabilization of nonlinear uncertain stochastic switched discrete time-delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic s...
متن کاملGeneralized Quadratic Stabilization for Discrete-time Singular Systems with Time-delay and Nonlinear Perturbation
This paper discusses a generalized quadratic stabilization problem for a class of discrete-time singular systems with time-delay and nonlinear perturbation (DSSDP), which the satisfies Lipschitz condition. By means of the S-procedure approach, necessary and sufficient conditions are presented via a matrix inequality such that the control system is generalized quadratically stabilizable. An expl...
متن کامل