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Robust H_{\infty } Fuzzy Control Approach for a Class of Markovian Jump Nonlinear Systems

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2 Author(s)
Arrifano, N.S.D. ; Departamento de Engenharia Eletrica, Univ. de Sao Paulo, Sao Carlos ; Oliveira, Vilma A.

This paper addresses the problem of stabilizing a class of nonlinear systems subject to Markovian jump parameters using a robust stochastic fuzzy controller with Hinfin performance. The class of jump nonlinear systems considered is described by a fuzzy model composed of two levels: A crisp level which represents the jumps and a fuzzy level which represents the system nonlinearities. Considering the approximation error between the fuzzy model and the jump nonlinear system as norm-bounded uncertainties, we develop a systematic technique based on a coupled Lyapunov function to obtain a robust stochastic fuzzy controller which guarantees the L2 gain of the closed-loop system in respect to external inputs to be equal to or less than a prescribed value. A simulation example on an industrial power plant operating in a cogeneration scheme is presented to illustrate the effectiveness of the proposed stabilizing controller in reducing oscillations as well as maintaining a desired operation condition in the presence of fluctuations in the local load

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:14 ,  Issue: 6 )

Date of Publication:

Dec. 2006

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