Method of Finite and Quasi-finite Linear Stationary Control Systems Synthesis

Abstract

The issues of analytical synthesis of automatic control systems with a finite transient time of control in relation to a class of linear stationary systems are discussed. The control object is represented by a continuous vector-matrix model of arbitrary order, control unit is represented by a not-recursive discrete model in the form of the finite State Space regulator. The method of algebraic synthesis of finite and quasi-finite control, including optimal synthesis stages of free and forced system motion, is presented. An example of the synthesis of an electromechanical servo control system is considered. The results of the synthesis and simulation are given, confirming the effectiveness of the proposed approaches.