Fuzzy controller design for discrete time-delay affine Takagi-Sugeno fuzzy systems

Author(s):  
Wen-Jer Chang ◽  
Wei Chang
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Zejian Zhang ◽  
Dawei Wang

The problem of an unmatching observer-based controller design for discrete-time fuzzy systems with time delay is investigated, in which the fuzzy controller shares different membership functions from the fuzzy model. The objective is to design a state observer and unmatching fuzzy controller such that the discrete closed-loop system with time delay is asymptotically stable. A sufficient condition that contains the information of the membership functions of fuzzy model and fuzzy controller for the stabilization via an unmatching observer-based output feedback is presented. The proposed control scheme is well capable of enhancing the design flexibility, and the stability condition is less conservative. Three numerical examples are given to illustrate the effectiveness and advantages of the proposed method.


2011 ◽  
Vol 19 (5) ◽  
pp. 844-856 ◽  
Author(s):  
Hao Zhang ◽  
Huaicheng Yan ◽  
Tao Liu ◽  
Qijun Chen

2013 ◽  
Vol 60 (4) ◽  
pp. 430-435 ◽  
Author(s):  
Xi Zhu ◽  
Jinggui Gao ◽  
Enmin Feng ◽  
Zhilong Xiu ◽  
Sheng Jin

2005 ◽  
Vol 15 (12) ◽  
pp. 3883-3894 ◽  
Author(s):  
TAEK RYONG KIM ◽  
YOUNG HOON JOO ◽  
JIN BAE PARK ◽  
GUANRONG CHEN

In this paper, a simple and systematic control design method is proposed for making a continuous-time Takagi–Sugeno (T–S) fuzzy system chaotic. The concept of parallel distributed compensation is employed to determine the structure of a fuzzy controller from a T–S fuzzy model. The fuzzy controller makes the T–S fuzzy model, which could be stable or unstable, bounded and chaotic. The verification of chaos in the closed-loop T–S fuzzy system is done by the following procedure. First, we establish an asymptotically approximate relationship between a continuous-time T–S fuzzy system with time-delay and a discrete-time T–S fuzzy system. Then, we verify the chaos in the closed-loop T–S fuzzy system by applying the Marotto theorem to its associated discrete-time T–S fuzzy system. The generated chaos is in the sense of Li and Yorke. Two examples are given to show that this methodology is simple and effective for anticontrol of chaos for a continuous-time T–S fuzzy system.


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