Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach

H. K. Lam, Hung Fat Frank Leung, P. K S Tam

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

1 Citation (Scopus)

Abstract

This paper presents the analysis of stability and robustness of an uncertain nonlinear fuzzy system. To proceed with the analysis, the uncertain nonlinear plant is represented by a fuzzy model that includes parameter uncertainty information. Then, three design approaches will be introduced to close the feedback loop. By using the Lyapunov's stability theory, the closed-loop uncertain fuzzy control system is shown to be stable if there exists a positive definite solution for an Algebraic Riccati Equation (ARE) derived. An example on stabilizing an uncertain nonlinear mass-spring-damper system is given to illustrate the stabilizability and robustness properties of the proposed fuzzy controller.
Original languageEnglish
Title of host publicationIECON Proceedings (Industrial Electronics Conference)
PublisherIEEE Comp Soc
Pages1046-1051
Number of pages6
Publication statusPublished - 1 Dec 1997
EventProceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4) - New Orleans, LA, United States
Duration: 9 Nov 199714 Nov 1997

Conference

ConferenceProceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4)
CountryUnited States
CityNew Orleans, LA
Period9/11/9714/11/97

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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