Robust fuzzy controller design for nonlinear multiple time-delay systems by dithers

2010 ◽  
Vol 161 (21) ◽  
pp. 2760-2779 ◽  
Author(s):  
Feng-Hsiag Hsiao
Keyword(s):  
Time Delay ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Delay Systems ◽  
Multiple Time ◽  
Time Delay Systems ◽  
Robust Fuzzy Controller

Robust Controller Design for Discrete Uncertain Multiple Time-Delay Systems

1997 ◽  
Vol 119 (1) ◽  
pp. 122-127 ◽  
Author(s):  
Feng-Hsiag Hsiao ◽  
Shing-Tai Pan ◽  
Ching-Cheng Teng
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Controller Design ◽  
Delay Systems ◽  
Multiple Delays ◽  
Multiple Time ◽  
Time Delay Systems ◽  
Ultimate Boundedness ◽  
Robust Controller ◽  
Robust Controller Design

We derive a variety of succinct criteria of robust stability for discrete uncertain systems which contain multiple delays and a class of series nonlinearities. Each result is expressed by a brief inequality and corresponds to compromise between simplicity and sharpness. The properties of norm are employed to investigate robustness conditions that guarantee asymptotic stability rather than ultimate boundedness of trajectories. It is shown that the uncertainties, nonlinearities, and delays are the factors of instability of the overall system, between which some compromise is necessary.

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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