Asymptotic Stability of Switched System with Time Delay: Comparison Theorem

2018 ◽  
Author(s):  
Xiaojiao Zhang ◽  
Jinchun Liu
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Comparison Theorem ◽  
Switched System ◽  
System With Time Delay

Sliding Mode Control for Discrete Uncertain System with Time Delay

2015 ◽  
Vol 740 ◽  
pp. 274-277
Author(s):  
Ni Bu ◽  
Wei Chen ◽  
Chao Bu
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Uncertain System ◽  
Mode Control ◽  
System With Time Delay ◽  
Simplified Form

This paper considers the sliding mode control for discrete uncertain system with time delay. First, the discrete uncertain system is transformed into a simplified form; then some sufficient conditions of guaranteeing the asymptotic stability of the uncertain system are given; finally the effectiveness of the proposed method is confirmed by the simulations.

Discontinuity and Convergency of Solutions for a Class of Linear Singular Switched Systems with Time Delay

2011 ◽  
Vol 55-57 ◽  
pp. 2130-2134
Author(s):  
Xiang Sheng Xie ◽  
Jun Hong Chen ◽  
Gong Xiang Jia
Keyword(s):  
Time Delay ◽  
Switched Systems ◽  
Singular Systems ◽  
Switched System ◽  
Switching Point ◽  
Discontinuous Solutions ◽  
All Solutions ◽  
Before And After ◽  
System With Time Delay

At a switching point, the inconsistency can exist between subsystems switched before and after the point, resulting in the solutions of singular switched system with time delay there may be discontinuity. We consider the discontinuity of the solutions for a class of switched linear singular systems with time delay and the convergence of discontinuous solutions. Using Lyapunov-Krasovskii function and the LMI method, we establish some criteria to guarantee all solutions of the systems converge to zero. The criteria are expressed as LMI form and depended time delay. An example is given to illustrate the application of the presented results.

Robust H∞ control of discrete switched system with time delay

2008 ◽  
Vol 205 (1) ◽  
pp. 159-169 ◽  
Author(s):  
Yang Song ◽  
Jian Fan ◽  
Minrui Fei ◽  
Taicheng Yang
Keyword(s):  
Time Delay ◽  
Switched System ◽  
System With Time Delay

The stability analysis of nonlinear switched systems with time delay in input and states with stable and unstable subsystems

2018 ◽  
Vol 40 (16) ◽  
pp. 4298-4308 ◽  
Author(s):  
Zeinab Echreshavi ◽  
Alireza Roosta
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Sufficient Conditions ◽  
Switched System ◽  
Control Laws ◽  
Nonlinear Switched Systems ◽  
Unstable Subsystems ◽  
Measurement Delay ◽  
The Stability ◽  
System With Time Delay

Time delay and sampling appear in many industrial systems. It is irrefutable that applying measurement delay with controls can cause the sampling of control laws with the delay in the behavior of nonlinear control systems. As a result, in this paper, the stability of nonlinear time varying switched system with time delay in the input and the states of the system is studied in two modes by a new Lyapunov Krasovskii functional (LKF). Firstly, if all subsystems of the proposed nonlinear switched system with time delay are stable. Then, if some of the subsystems of the proposed switched system are unstable. This paper is organized in two steps. In the first step, the upper bound for the time delay under sufficient conditions in the nonlinear systems with time delay in input and states is obtained. In this step, the Uniformly Globally Asymptotic Stability is proved for nonlinear systems with the presence of time delay. In the second step, with a proper Lyapunov Krasovskii functional, the global exponential stability of the proposed switched system is proved. Also, finally a proper observer is designed for our proposed switched system in two stable and unstable modes.

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