Stable indirect adaptive control based on discrete-time T–S fuzzy model

2008 ◽  
Vol 159 (8) ◽  
pp. 900-925 ◽  
Author(s):  
Ruiyun Qi ◽  
Mietek A. Brdys
1982 ◽  
Vol 18 (3) ◽  
pp. 232-237
Author(s):  
Kunihiko ICHIKAWA ◽  
Satoru YUKIE ◽  
Yuzo YAMANE

Author(s):  
Yi-Min Li ◽  
Yuan-Yuan Li

This paper presents the stability analysis of discrete-time fuzzy-model-based adaptive control systems with time-delay, parameter uncertainties and external disturbance. To facilitate the stability analysis, the T-S fuzzy model is employed to represent the discretetime nonlinear system. A fuzzy observer is used to estimate the state of the fuzzy system, by using the estimations of states and nonlinear functions, and sufficient conditions for designing observer-based fuzzy controllers are proposed. The control and observer matrices involved can be determined by solving a set of linear matrix inequality (LMI). Finally, the numerical example carried out also demonstrate the feasibility of the design method.


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