Guaranteed cost control analysis and iterative design for constrained Takagi-Sugeno systems

Authors:
Carlos Ariño;Emilio Pérez;Antonio Sala
Affiliations:
Department of Industrial Systems Engineering and Design, Universitat Jaume I, Avenida Vicent Sos Baynat, s/n. 12071 Castelló de la Plana, Spain;Department of Industrial Systems Engineering and Design, Universitat Jaume I, Avenida Vicent Sos Baynat, s/n. 12071 Castelló de la Plana, Spain;Instituto Universitario de Automática e Informática Industrial, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain
Venue:
Engineering Applications of Artificial Intelligence
Year:
2010

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Abstract

This paper presents a novel control design technique in order to obtain a guaranteed cost fuzzy controller subject to constraints on the input channel. This guaranteed cost control law is obtained via multi-parametric quadratic programming. The result is a piecewise fuzzy control law where the state partition is defined by fuzzy inequalities. The parameters of the Lyapunov function can be obtained previously using Linear Matrix Inequalities optimization.