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Title: Stability analysis of T-S fuzzy-model-based control systems using fuzzy Lyapunov function
Authors: Lam, HK
Narimani, M
Lai, JCY
Leung, FHF 
Keywords: Control system analysis
Control system stability
Control systems
Differential equations
Fuzzy control
Fuzzy logic
Fuzzy systems
Identification (control systems)
Linear control systems
Linear matrix inequalities
Lyapunov functions
Membership functions
Modal analysis
Probability density function
System stability
Telecommunication networks
Uncertain systems
Issue Date: 2008
Publisher: IEEE
Source: FUZZ-IEEE 2008 : 2008 IEEE International Conference on Fuzzy Systems, 1-6 June 2008, Hong Kong, p. 931-938 How to cite?
Abstract: This paper investigates the system stability of T-S fuzzy-model-based control systems based on an improved fuzzy Lyapunov function. Various non-PDC fuzzy controllers are proposed to close the feedback loop. The characteristic of T-S fuzzy model is considered to facilitate the stability analysis. Under a particular case, the time-derivative information of the membership functions vanishes, which simplifies the stability analysis and leads to relaxed stability analysis results. A general case is then considered. An improved non-PDC fuzzy controller is proposed based on the properties of the T-S fuzzy model. The improved non-PDC fuzzy controller exhibits a favourable property to relax the stability conditions. Based on the fuzzy Lyapunov function, stability conditions in terms of linear matrix inequalities are derived to guarantee the system stability. Simulation examples are given to illustrate the effectiveness of the proposed non-PDC fuzzy control schemes.
ISBN: 978-1-4244-1819-0
Rights: © 2008 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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