Abstract
This paper presents a systematic design of fuzzy control systems based on quadratic performance function and robust stability. First, robust stability conditions for a class of uncertain fuzzy systems are derived. An LMI-based approach is employed to design a robust fuzzy controller. Next, a fuzzy controller design based on quadratic performance indexes is realized by solving a minimization problem of the upper bound of a give quadratic performance index. Furthermore, a mixed control problem that simultaneously considers both of them is defined and solved efficiently by derived LMI conditions. Finally, a design example, stabilization of an inverted pendulum system, shows the effect of the proposed design method.
