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Title: Lyapunov function based design of heuristic fuzzy logic controllers
Authors: Wong, LK
Leung, FHF 
Tam, PKS
Issue Date: 1997
Source: Proceedings of the sixth IEEE International Conference on Fuzzy Systems : Barcelona, Spain, July 1-5, 1997, p. 281-285
Abstract: A stability design of fuzzy logic controllers (FLCs) for non-linear systems is proposed in this paper. In heuristic design of FLCs, we often have a lot of rules. Although each rule governing the control of the plant refers to a stable closed-loop sub-system, the overall system stability cannot be guaranteed when all of these rules are put together into a rule base for the FLC. This limitation is tackled in this paper. It is shown that on adding arbitrary rules to the FLC without any restriction on the form of membership functions, the system stability can be ensured if each individual rule applying to the plant results in a stable sub-system in the sense of Lyapunov subject to a common Lyapunov function for all rules. Analytical proof of the result is given and its application on designing a heuristic of FLC is illustrated through an example.
Keywords: Closed loop control systems
Fuzzy sets
Heuristic methods
Logic programming
Lyapunov methods
Membership functions
System stability
Theorem proving
Publisher: IEEE
ISBN: 0-7803-3796-4
Rights: © 1997 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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