Stabilization of discrete-time switched singular systems with state,output and switching delays |
| |
| Authors: | Jinxing Lin Xudong Zhao Min Xiao Jingjin Shen |
| |
| Institution: | 1. College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;2. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | This paper is concerned with state feedback stabilization of discrete-time switched singular systems with time-varying delays existing simultaneously in the state, the output and the switching signal of the switched controller. On the basis of equivalent dynamics decomposition and Lyapunov–Krasovskii method, exponential estimates for the response of slow states of the closed-loop subsystems running in asynchronous and synchronous periods are first given. Exponential estimates for the response of fast states are also provided by establishing an analytic equation to solve the fast states and using some algebraic techniques. Then, by employing the obtained exponential estimates and the piecewise Lyapunov function approach with average dwell time (ADT) switching, sufficient conditions for the existence of a class of stabilizing switching signals and state feedback gains are derived, which explicitly depend on upper bounds on the delays and a lower bound on the ADT. Finally, two numerical examples are provided to illustrate the effectiveness of the obtained theoretical results. |
| |
| Keywords: | Corresponding author |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
