Fuzzy tracking control design for nonlinear discrete-time dynamic systems via TS fuzzy model

Author(s):  
Chung-Shi Tseng ◽  
Bor-Sen Chen
2014 ◽  
Vol 24 (4) ◽  
pp. 785-794 ◽  
Author(s):  
Wudhichai Assawinchaichote

Abstract This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.


2020 ◽  
Vol 51 (2) ◽  
pp. 404-412
Author(s):  
Fangzhou Fu ◽  
Dayi Wang ◽  
Wenbo Li ◽  
Fanbiao Li

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