Finite-time sliding mode control for a class of nonlinear and time-delayed switched systems

被引：0
|
作者：
He S.-P. [1 ,2 ]
Ai Q.-L. [1 ,2 ]
机构：
[1] School of Electrical Engineering and Automation, Anhui University, Hefei
[2] Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei
来源：
Kongzhi yu Juece/Control and Decision | 2019年 / 34卷 / 03期
关键词：
Average dwell time; Finite-time boundedness; Linear matrix inequalities; Lipschitz nonlinear; Sliding mode control; Switched systems;
D O I：
10.13195/j.kzyjc.2017.1283
中图分类号：
学科分类号：
摘要：
This paper investigates the problems of finite-time sliding mode control for a class of nonlinear switched systems with time-delays. For the studied system model, the corresponding integral sliding mode surface of each subsystem is constructed. Based on the sliding mode control theory, a sliding mode controller is designed to make every subsystems state be driven onto the relevant sliding mode surface within a given time-interval. And the Lipschitz conditions are used to deal with the nonlinearities in the system. By means of the multiple Lyapunov functions technique, average dwell time approach and partitioning strategy, sufficient conditions are proposed to guarantee the finite-time boundedness of the corresponding sliding mode dynamic systems, and the controller gains is obtained by solving the linear matrix inequalities. Finally, a simulation example is given to illustrate the effectiveness of the proposed methods. © 2019, Editorial Office of Control and Decision. All right reserved.
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页码：655 / 660
页数：5
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