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A fuzzy stabilization approach for a class of Markovian jump nonlinear systems

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Author(s):
Natache do Socorro Dias Arrifano
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD)
Defense date:
Examining board members:
Vilma Alves de Oliveira; Amit Bhaya; Eduardo Fontoura Costa; Oswaldo Luiz do Valle Costa; Marcelo Carvalho Minhoto Teixeira
Advisor: Vilma Alves de Oliveira
Abstract

This work deals with the fuzzy-model-based control design for a class of Markovian jump nonlinear systems. A new fuzzy system modeling is proposed to approximate the dynamics of this class of systems. The structure of the new fuzzy system is composed of two levels, a crisp level which describes the Markovian jumps and a fuzzy level which describes the system nonlinearities. A sufficient condition on the existence of a stochastically stabilizing controller using a Lyapunov function approach is presented. The fuzzy-model-based control design is formulated in terms of a set of linear matrix inequalities. In addition, simulation results for a single-machine infinite-bus power system in cogeneration scheme, whose operation is modeled as an Markovian jump nonlinear system, are presented to illustrate the applicability of the technique. (AU)