Sliding mode-like learning control for SISO complex systems with T-S fuzzy models. (1st August 2012)

• Record Type: Journal Article
• Authors: Tay, Feisiang; Man, Zhihong; Cao, Zhenwei; Khoo, Suiyang; Tan, Chee Pin
• Is Part Of: International journal of modelling, identification and control. Volume 16:Number 4(2012)
• Page Start: 317
• Page End: 326
• Publication Date: 2012-08-01
• Subjects: Takagi-Sugeno fuzzy model -- Takagi-Sugeno -- T-S -- sliding mode -- learning control -- chattering -- Lyapunov stability -- Lipschitz condition; Engineering -- Methodology -- Periodicals; Science -- Methodology -- Periodicals; 001.42
• Languages: English
• ISSNs: 1746-6172

Abstract

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: 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.