✍ Scribed by A. García-Cerezo; A. Ollero; J. Aracil
No coin nor oath required. For personal study only.
In this paper we consider fuzzy control system as nonlinear control systems. We present an unifying framework of methodologies andsummarize three different methods. The first one is based on the geometrical interpretation of the system dynamic behaviour in the phase portrait. The second uses stability and robustness indices defined from the qualitative theory of dynamic systems. The third method adopts the input-output stability approach by using theconicity criterion. These methods provide thebasisforthe development of new methodologies for the design of stable androbust fuzzy control systems.
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This paper analyzes the stability and robustness of uncertain nonlinear systems and shows that the analysis results provide an e cient technique for the design of fuzzy controllers. Based on a fuzzy plant model describing an uncertain nonlinear plant, this design involves the derivation of a stabili