Deterministic Control Systems

Abstract

Deterministic control systems are control systems that are designed for external deterministic disturbances or deterministic initial values. Deterministic disturbances or initial values are variables which, unlike stochastic variables, can be described exactly in analytical form. Common control systems can be classified as reference control systems or terminal control systems. For their discussion a process with one manipulated variable u(k), one controlled variable y(k), the state variables x(k) and the disturbances v(k) are considered, as in Fig. 4.1. With reference control systems the controlled variable y(k) has to follow a reference variable w(k) as closely as possible, resulting in control errors e(k) = w(k) − y(k) that are as small as possible, e(k) ≈ 0. If the reference variable changes with time a variable reference control system or tracking control system is to be designed. If the controlled variable is a position, velocity or acceleration, this is also called a servo control system. If the reference variable is constant, this is called a regulator.