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Title: Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems : distinct Lyapunov functions
Authors: Leung, Frank H. F.
Lam, H. K.
Tam, Peter K. S.
Subjects: Closed loop control systems
Feedback control
Lyapunov methods
Mathematical models
Nonlinear control systems
Parameter estimation
Robustness (control systems)
System stability
Issue Date: 1998
Publisher: IEEE
Source: The 1998 IEEE International Conference on Fuzzy Systems proceedings : IEEE World Congress on Computational Intelligence : May 4-May 9, 1998, Anchorage, Alaska, USA, p. 577-582.
Abstract: This paper presents the stability and robustness analyses of an uncertain fuzzy control system which is formed by an uncertain fuzzy plant model and a fuzzy controller. The fuzzy plant model with parameter uncertainties describes exactly the behavior of an uncertain nonlinear plant. Three design approaches are introduced to close the feedback loop. Based on the Lyapunov's stability theory, new stability criteria and robust areas are to be derived without resorting to a common Lyapunov function. An application example on stabilizing an uncertain nonlinear mass-spring-damper system will be given to illustrate the merit.
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Type: Conference Paper
ISBN: 0-7803-4863-X
Appears in Collections:EE Conference Papers & Presentations

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