H∞ control for switched non-linear systems with structural uncertainty by using robust passivity

被引：4
作者：
Li, Chensong [1 ]
Guo, Hai [1 ]
Fu, Jun [2 ]
Pang, Hongbo [3 ]
机构：
[1] Inner Mongolia Univ Nationalities, Coll Math & Phys, Tongliao 028000, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
[3] Liaoning Univ Technol, Coll Sci, Jinzhou 121000, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 40卷
基金：
中国国家自然科学基金;
关键词：
Switched non-linear systems; Robust passivity; H-infinity control problem; Feedback robust passivity; MULTIPLE LYAPUNOV FUNCTIONS; GLOBAL STABILIZATION; PASSIFICATION; STABILITY; DISSIPATIVITY; FORM;
D O I：
10.1016/j.nahs.2021.101017
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the H-infinity control problem for a class of switched non-linear systems with structural uncertainty using robust passivity, even though the control problem for none of subsystems is solvable. Firstly, when each subsystem is only required to be robust passive in the associated active region, the H-infinity control problem for such a system is solved by designing a state-dependent switching law and feedback controllers of subsystems. Secondly, when none of subsystems is robust passive, each subsystem is feedback equivalent to a robust passive system in the associated active region, and then solvability conditions of the H-infinity control problem is obtained. Finally, two examples are presented to illustrate the effectiveness of the proposed design approach. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：14
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