Fuzzy control for T-S fuzzy bilinear systems with time-delay in state and control input

2011 ◽  
Author(s):  
Ta-Tau Chen ◽  
Shun-Hung Tsai ◽  
Kun-Lin Tsai ◽  
Ching-Lun Li
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Bilinear Systems ◽  
Control Input ◽  
And Control

Robust fuzzy control of a class of fuzzy bilinear systems with time-delay

2009 ◽  
Vol 39 (5) ◽  
pp. 2028-2040 ◽  
Author(s):  
Shun-Hung Tsai ◽  
Tzuu-Hseng S. Li
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Bilinear Systems

scholarly journals Delay-Dependent Robust Stabilization for Nonlinear Large Systems via Decentralized Fuzzy Control

2011 ◽  
Vol 2011 ◽  
pp. 1-20 ◽  
Author(s):  
Chun-xia Dou ◽  
Zhi-sheng Duan ◽  
Xing-bei Jia ◽  
Xiao-gang Li ◽  
Jin-zhao Yang ◽  
...  
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
Upper Bound ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Large System ◽  
Disturbance Attenuation ◽  
Robust Controller ◽  
Large Systems ◽  
Delay Dependent

A delay-dependent robust fuzzy control approach is developed for a class of nonlinear uncertain interconnected time delay large systems in this paper. First, an equivalent T–S fuzzy model is extended in order to accurately represent nonlinear dynamics of the large system. Then, a decentralized state feedback robust controller is proposed to guarantee system stabilization with a prescribedH∞disturbance attenuation level. Furthermore, taking into account the time delays in large system, based on a less conservative delay-dependent Lyapunov function approach combining with linear matrix inequalities (LMI) technique, some sufficient conditions for the existence ofH∞robust controller are presented in terms of LMI dependent on the upper bound of time delays. The upper bound of time-delay and minimizedH∞performance index can be obtained by using convex optimization such that the system can be stabilized and for all time delays whose sizes are not larger than the bound. Finally, the effectiveness of the proposed controller is demonstrated through simulation example.

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