Modeling and Control Methods Useful for Fuzzy Control
John H. Lilly · 2010
This chapter contains model forms and control methodologies that are useful for fuzzy control. All of these will be used in various fuzzy control strategies implemented with T-S fuzzy systems. The model forms considered for continuous-time systems are the continuous-time nonlinear state equations, continuous-time linear state equations, and the feedback-linearization form. The model forms considered for discrete-time systems are the discrete-time linear state equations and input-output difference equation, or autoregressive moving average (ARMA) model. Continuous-time nonlinear state equations are not used directly for fuzzy control, but are used to derive models in feedback-linearizeable form. Feedback-linearizable model forms are used in indirect adaptive control schemes for adaptive model following. Continuous- and discrete-time linear state equation model forms are used in parallel distributed compensators for pole placement. Input-output difference equation models are used in tracking and model reference controllers. Controlled Vocabulary Terms equations of state; fuzzy control; fuzzy systems; linear feedback control systems