Title :
Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method
Author :
Yeh, Ken ; Chen, Cheng-Wu ; Lin, Shu-Hao ; Chen, Chen-Yuan
Author_Institution :
Dept. of Constr. Sci. & Technol., De-Lin Inst. of Technol., Taipei, Taiwan
Abstract :
This study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on the delay-dependent condition and parallel distributed compensation (PDC) scheme, the controller design problem is transformed into solving linear matrix inequalities (LMI).
Keywords :
Hinfin control; Lyapunov matrix equations; compensation; control system synthesis; delay systems; distributed control; fuzzy control; linear matrix inequalities; robust control; H-infinite controller design; delay-dependent robust stability criterion; fuzzy Lyapunov method; fuzzy blending quadratic Lyapunov functions; linear matrix inequalities; parallel distributed compensation scheme; stability analysis; time-delay Takagi-Sugeno fuzzy systems; Control systems; Delay; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Robust stability; Stability analysis; Stability criteria; Takagi-Sugeno model; Fuzzy system; Lyapunov method;
Conference_Titel :
Intelligent Information and Database Systems, 2009. ACIIDS 2009. First Asian Conference on
Conference_Location :
Dong Hoi
Print_ISBN :
978-0-7695-3580-7
DOI :
10.1109/ACIIDS.2009.85
