Switching control for LPV polytopic systems using multiple Lyapunov functions

Author

He Xu ; Zhao Jun ; Dimirovski, Georgi M. ; Chen Chao

Author_Institution

State Key Lab. of Integrated Autom. for Process Ind., Northeastern Univ., Shenyang, China

fYear

2011

fDate

22-24 July 2011

Firstpage

1771

Lastpage

1776

Abstract

In this paper, we study the switching control for a linear parameter varying (LPV) polytopic system using multiple Lyapunov functions to improve the system´s H_∞ performance. For the large range of parameter varying, we divide the parameter region into small subregions and find a suitable Lyapunov function for each parameter subregion. Under the average dwell time switching logic, a sufficient Linear Matrix inequality (LMI) condition is proposed to guarantee the performance. The proposed control scheme is applied to an active magnetic bearing system.

Keywords

Lyapunov methods; linear matrix inequalities; time-varying systems; H∞ performance; LPV polytopic systems; active magnetic bearing system; average dwell time switching logic; linear matrix inequality condition; linear parameter varying polytopic system; multiple Lyapunov functions; switching control; Lyapunov methods; Rotors; Silicon; Stability analysis; Switches; Symmetric matrices; LMIs; LPV Systems; Multiple Lyapunov Functions; Polytopic Parameters;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001072