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01-05-2013 | Methodologies and Application

Robust H _∞ output feedback control with pole placement constraints for uncertain discrete-time fuzzy systems

Authors: Mourad Kchaou, Mansour Souissi, Ahmed Toumi

Published in: Soft Computing | Issue 5/2013

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Abstract

This paper investigates the problem of multi-objective control for a class of uncertain discrete-time fuzzy systems. The state-space Takagi–Sugeno T–S fuzzy model with linear fractional parameter uncertainties is adopted. Based on a linear matrix inequality approach and via so-called dynamic parallel distributed compensation, a fuzzy full-order dynamic output feedback controller is developed such that the L ₂ gain performance from the exogenous input signals to the controlled output is less than or equal to some prescribed value and, for all admissible uncertainties, the closed-loop poles of each local system are within a pre-specified sub-region of complex plane. Two numerical examples are provided to illustrate the effectiveness of the proposed design method.

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Title: Robust H ∞ output feedback control with pole placement constraints for uncertain discrete-time fuzzy systems
Authors: Mourad Kchaou
Mansour Souissi
Ahmed Toumi
Publication date: 01-05-2013
Publisher: Springer-Verlag
Published in: Soft Computing / Issue 5/2013
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-012-0958-6

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