ABSTRACT

In this chapter we present the basic properties of control and highlight signiÞcant design and operating criteria of model-based control theory. We discuss these properties in the context of two very popular classical methods of control: statevariable feedback control, and proportional-integral-derivative (PID) control. This chapter serves as a platform for discussing the desirable properties of a control system in the context of fuzzy and neural control in subsequent chapters. It is not our intent to present a thorough treatment of classical control theory, but rather, to present relevant material that provides the foundations for fuzzy and neural control systems. The reader therefore is urged to refer to the many excellent sources in classical control theory for further information. Standard control theory consists of two tasks, analysis and synthesis. Analy-

sis refers to the study of the plant and the control objectives. Synthesis refers to designing and building the controller to achieve the objectives. In standard control theory, mathematical models are used in both the analysis and the synthesis of controllers.