Stabilizing fuzzy controller design for uncertain time-delay systems

2002 ◽  
Author(s):  
Han Antai ◽  
Chen Guoding ◽  
Yang Maying ◽  
Yu Li
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Uncertain Time

Application of Fuzzy H∞ Control via T–S Fuzzy Models for Nonlinear Time-Delay Systems

2003 ◽  
Vol 12 (02) ◽  
pp. 117-137 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Wei-Ling Chiang
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Direct Method ◽  
Delay System ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Fuzzy Controllers ◽  
Fuzzy Models ◽  
Takagi Sugeno

This paper deals with the problem of stability analysis and stabilization via Takagi-Sugeno (T-S) fuzzy models for nonlinear time-delay systems. First, Takagi-Sugeno (T-S) fuzzy models and some stability results are recalled. To design fuzzy controllers, nonlinear time-delay systems are represented by Takagi-Sugeno fuzzy models. The concept of parallel-distributed compensation (PDC) is employed to determine structures of fuzzy controllers from the T-S fuzzy models. LMI-based design problems are defined and employed to find feedback gains of fuzzy controller and common positive definite matrices P satisfying stability a delay-dependent stability criterion derived in terms of Lyapunov direct method. Based on the control scheme and this criterion, a fuzzy controller is then designed via the technique of PDC to stabilize the nonlinear time-delay system and the H∞ control performance is achieved in the mean time. Finally, the proposed controller design method is demonstrated through numerical simulations on the chaotic and resonant systems.

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