Realimentação dinâmica de saída de sistemas fuzzy T-S discretos no tempo com medição parcial das variáveis premissas

Abstract

This paper aims to investigate the problem of designing dynamic output feedback stabilizing controllers for discrete-time Takagi-Sugeno fuzzy systems. It is assumed the realist scenario where the premise variables are partially or completely unmeasured, that is, some unmeasurable states are part of the membership functions. To the authors’ knowledge, very few papers have addressed this problem outside the observer-based approach. The fuzzy output controller is allowed to have a different number of fuzzy rules and a different set of membership functions from the T-S model. The design conditions are expressed as linear matrix inequality relaxations based on fuzzy Lyapunov functions and the use of slack variables introduced by Finsler’s lemma. The effectiveness and applicability of the methodology are shown through numerical examples.