ABSTRACT
This chapter presents two nonadaptive fuzzy control techniques for a linear system, namely, stable and optimal fuzzy controllers. It examines how to design a stable fuzzy controller for a single-input single-output (SISO) linear system. The chapter reviews some basic concepts of optimal control, and introduces a design methodology for optimal fuzzy control. It also explains how a fuzzy system with center average defuzzifier, product-inference rule, and a singleton fuzzifier can be used to design an optimal fuzzy controller. The fuzzy system used to develop these types of controllers is the one with a center average defuzzifier, product-inference rule, and a singleton fuzzifier. Fuzzy control can be classified as nonadaptive fuzzy control and adaptive fuzzy control. In nonadaptive fuzzy control, the control parameters are fixed, while in the adaptive fuzzy control, the control parameters are time-varying and adjusted according to updating laws.
