Sliding mode-like learning control for SISO complex systems with T-S fuzzy models

Tay, Feisiang, Man, Zhihong, Cao, Zhenwei, Khoo, Suiyang and Tan, Chee Pin 2012, Sliding mode-like learning control for SISO complex systems with T-S fuzzy models, International journal of modelling, identification and control, vol. 16, no. 4, pp. 317-326.

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Title Sliding mode-like learning control for SISO complex systems with T-S fuzzy models
Author(s) Tay, Feisiang
Man, Zhihong
Cao, Zhenwei
Khoo, Suiyang
Tan, Chee Pin
Journal name International journal of modelling, identification and control
Volume number 16
Issue number 4
Start page 317
End page 326
Total pages 10
Publisher Inderscience Publishers
Place of publication Geneva, Switzerland
Publication date 2012-07
ISSN 1746-6172
Keyword(s) Takagi-Sugeno fuzzy model
sliding mode
learning control
Lyapunov stability
Lipschitz condition
Summary In this paper, a sliding mode-like learning control scheme is developed for a class of single input single output (SISO) complex systems. First, the Takagi-Sugeno (T-S) fuzzy modelling technique is employed to model the uncertain complex dynamical systems. Second, a sliding mode-like learning control is designed to drive the sliding variable to converge to the sliding surface, and the system states can then asymptotically converge to zero on the sliding surface. The advantages of this scheme are that: 1) the information about the uncertain system dynamics and the system model structure is not required for the design of the learning controller; 2) the closed-loop system behaves with a strong robustness with respect to uncertainties; 3) the control input is chattering-free. The sufficient conditions for the sliding mode-like learning control to stabilise the global fuzzy model are discussed in detail. A simulation example for the control of an inverted pendulum cart is presented to demonstrate the effectiveness of the proposed control scheme.
Language eng
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
090602 Control Systems, Robotics and Automation
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
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