1994 Volume 37 Issue 4 Pages 685-691
Recently fuzzy control has been applied to various systems such as home electronics, manufacturing processes and production plants. Because applications to actual control systems can be risky, the stability of a fuzzy control system must be insured. For stability analysis of fuzzy control, phase plane analysis, Hurwitz's analysis in subareas, and Lyapunov's method have been proposed. In this paper, we propose a new method of stability analysis, that is, stability discrimination on the basis of display of the stability area in 3D space, the manipulated variable, the control error, and the deviation of its error. The stability is discriminated according to whether the fuzzy control map exists in the partial space where Hurwitz's stable condition is satisfied or not.