Title :
Adaptive T-S fuzzy controller design using fuzzy approximators
Author :
Han, Hugang ; Koshiro, Takamitsu
Author_Institution :
Dept. of Manage. Inf. Syst., Prefectural Univ. of Hiroshima, Hiroshima, Japan
Abstract :
In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model is considered, and fuzzy approximator is employed to cope with the reconstruction error. As a result, it reaches an adaptive controller that has two parts: one is obtained by solving certain linear matrix inequalities (LMIs) (fixed part) and another one is acquired by the fuzzy approximator in which the related parameters are tuned by adaptive law (variable part). The proposed controller can guarantee the control state to converge and uniformly bounded while maintaining all the signals involved stable. An inverted pendulum is provided to demonstrate the effectiveness of the proposed adaptive fuzzy controller.
Keywords :
adaptive control; approximation theory; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; adaptive T-S fuzzy controller design; fuzzy approximators; inverted pendulum; linear matrix inequalities; Adaptation model; Approximation methods; Bismuth; Control systems; Fuzzy systems; Mathematical model; Vectors;
Conference_Titel :
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-6919-2
DOI :
10.1109/FUZZY.2010.5584644