Robust H∞ control for switched singular systems with linear fractional uncertainties: A strict LMI approach

Author

Lin, Jinxing ; Gao, Zhifeng ; Gai, Shaoyan

Author_Institution

Coll. of Autom., Nanjing Univ. of Posts & Telecommun., Nanjing, China

fYear

2012

fDate

6-8 July 2012

Firstpage

1704

Lastpage

1709

Abstract

In this paper, for a class of switched linear singular systems with linear fractional uncertainty, the robust H_∞ control problem is investigated by using a strict linear matrix inequality (LMI) appoach. First of all, for the unforced system, a sufficient condition is given for generalized robust stabilization with prescribed disturbance attenuation level only by switching. Then, the robust H_∞ control synthesis via switched state feedback is solved by LMI approach. The obtained results generalize and improve the previous works on switched singular systems and switched state-space systems.

Keywords

H^∞ control; control system synthesis; linear matrix inequalities; linear systems; robust control; state feedback; state-space methods; time-varying systems; LMI approach; disturbance attenuation level; generalized robust stabilization; linear fractional uncertainty; linear matrix inequality; robust H_∞ control synthesis; sufficient condition; switched linear singular system; switched state feedback; switched state-space system; Attenuation; Linear matrix inequalities; Robustness; Switched systems; Switches; Uncertainty; H∞ control; LMI; Linear fractional uncertainty; Singular systems; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358152

Filename

6358152