Positivity and separation principle for observer-based output-feedback disturbance attenuation of uncertain discrete-time fuzzy models with immeasurable premise variables

초록

We propose a robust observer-based output-feedback (OBOF) controller design method for the pos-itive stabilization of discrete-time Takagi-Sugeno (T-S) fuzzy models subject to immeasurable premise variables, parametric uncertainties, and l & INFIN; disturbances. The results of this paper are as follows. First, a new fuzzy OBOF controller structure is used to improve the possibility that the uncertain closed-loop system is positive. Second, the separation principle is demonstrated for the l & INFIN;-l & INFIN;disturbance atten-uation. Finally, the stability, positivity, and disturbance attenuation of T-S fuzzy closed-loop models are analyzed in the presence of the perturbation caused by the imperfect premise matching by the immeasurable premise variable. & COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.

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