A multiple lyapunov function approach to stabilization of fuzzy control systems
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- 11 August 2003
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 11 (4), 582-589
- https://doi.org/10.1109/tfuzz.2003.814861
Abstract
This paper addresses stability analysis and stabilization for Takagi-Sugeno fuzzy systems via a so-called fuzzy Lyapunov function which is a multiple Lyapunov function. The fuzzy Lyapunov function is defined by fuzzily blending quadratic Lyapunov functions. Based on the fuzzy Lyapunov function approach, we give stability conditions for open-loop fuzzy systems and stabilization conditions for closed-loop fuzzy systems. To take full advantage of a fuzzy Lyapunov function, we propose a new parallel distributed compensation (PDC) scheme that feedbacks the time derivatives of premise membership functions. The new PDC contains the ordinary PDC as a special case. A design example illustrates the utility of the fuzzy Lyapunov function approach and the new PDC stabilization method.Keywords
This publication has 18 references indexed in Scilit:
- Stability analysis of discrete fuzzy control systemPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Graphical stability analysis of a fuzzy control systemPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A stability analysis of fuzzy control system using a generalized fuzzy Petri net modelPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A study on coincidence of symbolic and continuous behavior for symbolic stability analysisPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- New fuzzy inference method for symbolic stability analysis of fuzzy control systemPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2000
- On stability of fuzzy systems expressed by fuzzy rules with singleton consequentsIEEE Transactions on Fuzzy Systems, 1999
- An approach to fuzzy control of nonlinear systems: stability and design issuesIEEE Transactions on Fuzzy Systems, 1996
- Analysis and design of fuzzy control systemFuzzy Sets and Systems, 1993
- Stability analysis and design of fuzzy control systemsFuzzy Sets and Systems, 1992
- Fuzzy identification of systems and its applications to modeling and controlIEEE Transactions on Systems, Man, and Cybernetics, 1985