1998 Volume 10 Issue 5 Pages 915-936
This paper is concerned with the design of fuzzy controllers based on the fuzzy models of plants. The models are the simplified ones used in conventional fuzzy control. To begin with, we introduce canonical forms of unforced fuzzy systems with singleton consequents and a stability theorem given by one of the authors. Next, we improve the theorem and suggest a stabilization algorithm for fuzzy control systems. The basic method is, as we usually do in control theory, to find a fuzzy controller so that a closed system becomes stable, where we use an inverse-problem-approach of optimal control for finding a stabilizing control. The stability analysis and the design algorithm are verified by their applications to nonlinear systems.
