Relaxed conditions in tracking control design for a TS fuzzy model

Authors:
N. Manamanni;B. Mansouri;A. Hamzaoui;J. Zaytoon
Affiliations:
(Correspd. Tel.: +33 326 918 386/ Fax: +33 326 913 106/ E-mail: noureddine.manamanni@univ-reims.fr) CReSTIC- Université/ de Reims - 51687 Reims cedex 2, France;CReSTIC- Université/ de Reims - 51687 Reims cedex 2, France;CReSTIC- Université/ de Reims - 51687 Reims cedex 2, France;CReSTIC- Université/ de Reims - 51687 Reims cedex 2, France
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2007

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Abstract

In this paper, a fuzzy tracking control is designed for nonlinear dynamic systems with external disturbances using a TS fuzzy model and state observer design. A control scheme based on an augmented system with a guaranteed H∞ performance and a model reference tracking is proposed. The aim of this paper is to provide a more relaxed version of the control design problem in terms of a linear matrix inequality (LMI) and to improve the tracking performances. In the case of a tracking problem, the results obtained are summarized in two theorems concerning the feasibility of the LMI and the relaxed stability conditions. A design example illustrates the relaxed stability conditions and the tracking performances of this approach.