DocumentCode :
3572228
Title :
Adaptive fuzzy backstepping control for a class of strict-feedback discrete-time nonlinear systems
Author :
Xin Wang ; Tieshan Li ; Yao Cai ; Bin Lin
Author_Institution :
Navig. Coll., Dalian Martime Univ., Dalian, China
fYear :
2014
Firstpage :
261
Lastpage :
266
Abstract :
In this paper, by incorporating “minimal learning parameter (MLP)” technique into an adaptive fuzzy control design framework, a backstepping based control algorithem is presented for a class of uncertain strict-feedback nonlinear discrete-time systems. The proposed scheme is able to circumvent the problem of “curse of dimension” for high-dimensional systems. thus the number of parameters updated online for each subsystem is reduced to one, no matter how many rules are used in fuzzy systems and how many input variables exist in the system. Takagi-Sugeno (T-S) fuzzy systems are used to approximate the unknown system functions. It is shown via Lyapunov theory that all signals in the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB). Finally, a simulation example is employed to illustrate the effectiveness and advantages of the proposed scheme.
Keywords :
adaptive control; closed loop systems; control system synthesis; discrete time systems; feedback; fuzzy control; nonlinear control systems; Lyapunov theory; MLP technique; SGUUB system; T-S fuzzy system; Takagi-Sugeno fuzzy system; adaptive fuzzy backstepping control; backstepping based control algorithm; closed-loop system; control design framework; curse-of-dimension problem; minimal learning parameter technique; semiglobally uniformly ultimately bounded system; strict-feedback discrete-time nonlinear systems; Adaptive systems; Approximation methods; Backstepping; Discrete-time systems; Educational institutions; Fuzzy systems; Nonlinear systems; adaptive fuzzy control; discrete-time nonlinear systems; minimal learning parameter (MLP); strict-feedback system;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Control and Automation (WCICA), 2014 11th World Congress on
Type :
conf
DOI :
10.1109/WCICA.2014.7052724
Filename :
7052724
Link To Document :
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