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Title: Stability conditions for fuzzy control systems with fuzzy feedback gains
Authors: Lam, HK
Yeung, CW
Leung, FHF 
Issue Date: 2007
Source: FUZZ-IEEE 2007 : IEEE International Conference on Fuzzy Systems : Imperial College, London, UK, 23-26 July, 2007, [p. 1-6]
Abstract: This paper presents the stability analysis of fuzzy-model-based control systems. A fuzzy controller with fuzzy feedback gains is proposed to control a nonlinear system represented by the T-S fuzzy model. The fuzzy feedback gains effectively enhance the nonlinearity of the fuzzy controller to strengthen the stabilization ability. To facilitate the stability analysis and reduce the computational demand, the fuzzy controller is separated from the fuzzy model by a particular system representation during analysis. Consequently, the number of stability conditions can be reduced to ease the finding of the solution. Two cases of fuzzy controller design, namely the fuzzy controller employs the same and different membership functions as those of the fuzzy plant model, are considered for various applications. Simulation examples are given to illustrate the merits of the proposed approach.
Keywords: Control system analysis
Control system stability
Control systems
Fuzzy control
Fuzzy inference
Fuzzy logic
Fuzzy systems
Identification (control systems)
Membership functions
Modal analysis
Nonlinear systems
Optical bistability
System stability
Publisher: IEEE
ISBN: 1-4244-1210-2
Rights: © 2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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