STABILITY ANALYSIS AND SYNTHESIS OF FUZZY SYSTEMS USING INTERVAL ARITHMETIC

15th Triennial World Congress of the International Federation of Automatic Control Barcelona, 21–26 July 2002

J. M. Bravo¹, O. Sánchez¹, J. M. Andújar¹, E. F. Camacho²

¹ Departamento de Ingeniería Electrónica, Sistemas Informáticos y Automática, Universidad de Huelva, Escuela
Politécnica Superior, Carretera Huelva-LaRábida, 21071-Palos de la Frontera (Huelva), Spain

² Departamento de Ingeniería de Sistemas y Automática, Univ. de Sevilla, Escuela Superior de Ingenieros,
Camino de los Descubrimientos s/n, 41092-Sevilla Spain

This paper deals with the design of stable and robust rule-based fuzzy control systems. The interval analysis is applied to design a stable fuzzy controller using a robust condition to assure the stability. An example with a fuzzy controller for a non-linear system is presented to illustrate the design procedure.

Keywords: Fuzzy control; Stability; Robustness; Control system design; Intervals

E-mail: caro@uhu.es

Session slot T-Mo-A04: Fuzzy system analysis/Area code 3e : Fuzzy and Neural Systems