Decentralized H∞ state feedback control for a class of switched linear interconnected systems

Author

Song, Yan Rong ; Wang, Xing Ping ; Zhang, Shu Dong

Author_Institution

Inst. of Syst. Sci. & Math., Naval Aeronaut. & Astronaut. Univ., Yantai, China

fYear

2010

Firstpage

7079

Lastpage

7084

Abstract

The problem of decentralized H_∞ state feedback control for a class of large-scale systems made of switched linear systems is addressed. Using convex combinations approach, decentralized switching strategy and decentralized control laws are presented based on linear matrix inequalities. These switching strategy and control laws guarantee the global asymptotical stability of the controlled systems in the absence of disturbances. Moreover, a given disturbance attenuation level in the H_∞ sense can also be satisfied when there are disturbances. Finally, a numerical simulation is given, which illustrates the effectiveness of the design methods.

Keywords

H^∞ control; asymptotic stability; convex programming; decentralised control; interconnected systems; linear matrix inequalities; linear systems; state feedback; H_∞ state feedback control; convex combinations approach; decentralized control laws; decentralized switching strategy; global asymptotic stability; large-scale systems; linear matrix inequalities; switched linear interconnected systems; Automation; Interconnected systems; Linear matrix inequalities; Stability analysis; State feedback; Switches; H∞ control; convex combinations; decentralized state feedback; linear matrix inequalitie; switched linear interconnected systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Conference_Location

Jinan

Print_ISBN

978-1-4244-6712-9

Type

conf

DOI

10.1109/WCICA.2010.5554296

Filename

5554296