Finite-time stability and observer-based control for nonlinear uncertain discrete-time switched system

被引：0
|
作者：
Yali Dong
Xinyue Tang
机构：
[1] Tiangong University,School of Mathematical Sciences
来源：
Computational and Applied Mathematics | 2023年 / 42卷
关键词：
Finite-time stability; Observer-based control; Nonlinear switched system; Switched Lyapunov function; 93C55; 93D15;
D O I：
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摘要：
This paper investigates finite-time stability and observer-based finite-time control for nonlinear uncertain switched discrete-time system. Firstly, sufficient conditions are given to ensure that a class of switched nonlinear uncertain discrete-time system is finite-time stable under arbitrary switching. The observer-based controller is constructed. By constructing the switched Lyapunov function, sufficient conditions are derived to ensure the resulting closed-loop system is finite-time stable via observer-based control. The observer-based controller is designed to guarantee a switched nonlinear discrete-time system is finite-time stabilized. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.
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