Fuzzy model-based control for dynamic variable structure systems

This paper presents a dynamic variable structure system and its controller design conditions. The dynamic variable structure system, which is a class of hybrid dynamic systems, consists of plural subsystems which are switched by switching conditions. A key feature of the dynamic variable structure system is that each subsystem can have different degrees of freedom. In this paper, we employ switching fuzzy models to represent the nonlinear subsystem´s dynamics, switching conditions and conservation laws with respect to states, momentum and/or energy of the system. We derive controller design conditions for dynamic variable structure systems.