Interconnected switched discrete-time systems: robust stability and stabilization

被引：12
|
作者：
Mahmoud, Magdi S. [1 ]
Al-Sunni, Fouad M. [1 ]
Xia, Yuanqing [2 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Syst Engn, Dhahran 31261, Saudi Arabia
[2] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2011年 / 28卷 / 01期
关键词：
switched interconnected systems; delay-dependent stability; switched Lyapunov-Krasovskii functional; switched state feedback; switched output feedback; LMIs; GUARANTEED COST CONTROL; H-INFINITY CONTROL; WATER-QUALITY; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; FEEDBACK-CONTROL; DELAY; DESIGN; STABILIZABILITY; MANAGEMENT;
D O I：
10.1093/imamci/dnq019
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 develops a decentralized approach to the robust stability and stabilization problems of class of non-linear interconnected discrete-time systems with arbitrary switched rules. This class of interconnected systems consists of coupled nominally linear subsystems with unknown-but-bounded state delay. We showed that multi-controller switched schemes provide an effective and powerful mechanism to cope with highly complex systems with large uncertainties. We developed a delay-dependent decentralized structure that guarantees asymptotic stability with local disturbance attenuation on the subsystem level. Then we constructed decentralized switched control schemes based on state feedback and dynamic output feedback to ensure stabilizability of the global system with l(2)-performance bound. The theoretical developments are demonstrated by numerical simulation of a multi-reach water pollution control problem.
引用
收藏
页码：41 / 73
页数：33
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