Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561353
