Fuzzy pole placement based on piecewise Lyapunov functions / Controle fuzzy via alocação de pólos com funções de Lyapunov por partes

AUTOR(ES)
DATA DE PUBLICAÇÃO

2006

RESUMO

This work presents a controller design method for fuzzy dynamic systems based on piecewise Lyapunov functions with constraints on the closed-loop pole location. The main idea is to use switched controllers to locate the poles of the system to obtain a satisfactory transient response. The pole placement strategy allows to specify the performance in terms of the desired time response of the feedback system. The Takagi-Sugeno fuzzy model can approximate the nonlinear system in several linearization points using linear time invariant systems. Thus, a global fuzzy model can be obtained from a fuzzy combination of these linear systems. Stability analysis and design of fuzzy control systems can be efficiently carried out in the context of linear matrix inequalities (LMIs). If the fuzzy system is described by many local models, the resulting set of LMIs may be infeasible. The search for a Lyapunov function in the fuzzy pole placement problem may be easier to be satisfied in a piecewise framework. Some results from piecewise linear systems theory have contributed to the development of the presented technique. Some examples are given to illustrate the proposed method.

ASSUNTO(S)

piecewise lyapunov function linear matrix inequalities (lmis) função de lyapunov por partes sistema linear por partes alocação de pólos modelagem fuzzy takagi-sugeno pole placement piecewise linear systems fuzzy systems lmis

ACESSO AO ARTIGO

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