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LMI-based approach for output-feedback stabilization for discrete time Takagi-Sugeno systems

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4 Author(s)
Nachidi, M. ; Departamento de Ingenieria de Sistemas y Automatica, Univ. de Valladolid ; Benzaouia, A. ; Tadeo, F. ; Rami, M.A.

This paper presents a static output-feedback stabilizing controller design for nonlinear systems represented by discrete-time Takagi-Sugeno fuzzy models. The main result concerns the stabilization based on the parallel distributed compensation (PDC) approach. Sufficient conditions are provided for quadratic and nonquadratic stabilization. A numerical procedure based on the cone complementarity algorithm is given for the design of static output-feedback stabilizing controller. It is shown that the relaxed conditions proposed in the nonquadratic case outperform those for the quadratic case. A numerical example is given to illustrate the applicability of the proposed approach

Published in:

Decision and Control, 2006 45th IEEE Conference on

Date of Conference:

13-15 Dec. 2006