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arXiv · 1909.09151

Synth\`ese non quadratique H$\infty$ de contr\^oleurs d\'ecentralis\'es pour un ensemble de descripteurs flous T-S interconnect\'es

Dalel Jabri·Kevin Guelton·Noureddine Manamanni·Mohammed Naceur Abdelkrim
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Abstract

This paper deals with the non-quadratic decentralized stabilization of a set of n Takagi-Sugeno descriptors. To ensure the stability of the whole closed-loop dynamics and to minimize interconnection effects between subsystems, the main result allows designing a network of non Parallel Distributed Compensation control laws via a H $\infty$ criterion. Sufficient conditions, obtained from a non quadratic fuzzy Lyapunov approach, are provided in terms of Linear Matrix Inequalities. Finally, a numerical example illustrates the efficiency of the proposed decentralized control approach.

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Dalel Jabri, Kevin Guelton, Noureddine Manamanni, Mohammed Naceur Abdelkrim. 2019-09-19. Synth\`ese non quadratique H$\infty$ de contr\^oleurs d\'ecentralis\'es pour un ensemble de descripteurs flous T-S interconnect\'es. https://arxiv.org/abs/1909.09151

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