Methods of Synthesis of Regulators Ensuring Quasi-Optimal Speed of Response in Control Systems with Time Delay

Abstract

In this paper, algorithms for the synthesis of quasi-optimal speed regulators intended for controlled objects with time delay are considered. In constructing the control law, approximations of various orders are used. It is shown that starting from the second and higher orders of approximation, it is possible to obtain a unified generalized form of quasi-optimal control representation. A significant advantage of the proposed approach is that its application does not complicate the structure of the strictly optimal control action. In addition, the choice of the approximation order is determined by the required degree of closeness to strictly optimal control, which ensures the achievement of the necessary quality of regulation.