Robust model-based control of uncertain dynamical systems: a fuzzy set theory based approach

Abstract

Much of control theory is predicated upon mathematical models for physical systems. In Ghalia (1990, 1996), a new fuzzy model representation of uncertain nonlinear dynamical systems has been developed. The novel fuzzy modeling technique does not impose restrictive assumptions on system uncertainty. In this paper, we propose a robust fuzzy control scheme for a class of nonlinear uncertain systems. The proposed robust fuzzy control design approach is developed based on a fuzzy model representation of nonlinear uncertain systems and extends sliding mode control design techniques to include dynamical fuzzy models.