Robust stabilization for standard discrete-time fuzzy singularly perturbed systems: A spectral norm approach

Author

Liye Yu ; Jinxiang Chen

Author_Institution

State Key Lab. of Hybrid Process Ind. Autom. Syst. & Equip. Technol., China Iron & Steel Res. Inst. Group, Beijing, China

fYear

2013

fDate

25-27 May 2013

Firstpage

2464

Lastpage

2469

Abstract

This paper presents a new approach for stabilizing standard discrete-time fuzzy singularly perturbed systems(SPSs) via a state feedback controller. Without using conventional Lyapunov function, based on the matrix spectral norm of the closed-loop system, a new ε-independent sufficient condition is presented. In contrast to the existing results, the proposed method can improve the upper bounds of singular perturbation parameter ε. Two examples are provided to illustrate the reduced conservatism of our results.

Keywords

Lyapunov methods; closed loop systems; discrete time systems; fuzzy systems; matrix algebra; robust control; singularly perturbed systems; state feedback; ε-independent sufficient condition; Lyapunov function; SPS; closed-loop system; matrix spectral norm; robust stabilization; singular perturbation parameter; spectral norm approach; standard discrete-time fuzzy singularly perturbed systems; state feedback controller; Closed loop systems; Robustness; Stability analysis; Standards; State feedback; Symmetric matrices; Upper bound; Singularly perturbed systems; discrete-time systems; linear matrix inequalities(LMIs); nonlinear systems; robust control; spectral norm;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561353

Filename

6561353