Stability analysis for uncertain T-S fuzzy singular systems based on input/output constraints

Author

Su Xiao-ming ; Lv Qing-tao ; Xiao Mei-e ; Yang Jun-bo

Author_Institution

Sch. of Sci., Shenyang Univ. of Technol., Shenyang, China

fYear

2011

fDate

21-25 June 2011

Firstpage

192

Lastpage

195

Abstract

By means of linear matrix inequality (LMI), a robust stability analysis method is presented to discuss the robust stability for uncertain T-S fuzzy singular systems. Based on the Lyapunov stability theory, a sufficient condition which makes the uncertain T-S fuzzy singular systems robust stability is obtained. Moreover, an ellipse constraint is given to change the input/output constraints into a group of LMI bindings by using elliptic invariant domain and S-Procesure methods. Finally, a sufficient condition for uncertain T-S fuzzy singular systems robust stable and satisfying the input/output constraints has been derived.

Keywords

Lyapunov methods; elliptic equations; fuzzy control; linear matrix inequalities; robust control; uncertain systems; LMI; Lyapunov stability theory; S-procesure method; ellipse constraint; elliptic invariant domain method; input-output constraints; linear matrix inequality; robust stability analysis; uncertain T-S fuzzy singular system; Control systems; Fuzzy systems; Linear matrix inequalities; Robust stability; Robustness; Stability analysis; Uncertainty; input/output constraints; linear matrix inequality(LMI); uncertain T-S fuzzy singular systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2011 9th World Congress on

Conference_Location

Taipei

Print_ISBN

978-1-61284-698-9

Type

conf

DOI

10.1109/WCICA.2011.5970727

Filename

5970727