Minimization of the Number of Switchings between Optimal Continuous-Discrete Controlled Processes

Abstract

The article considers the problem of the optimal control of a switched system (SS) the continuous state change of which is described by differential equations and the instantaneous discrete state change (switching) by recurrence equations. The switching times and their number are not given in advance. The control quality is characterized by a functional that takes into account the costs of each switching. The problem of finding the minimum number of switchings at which the value of the quality functional does not exceed the given value is solved together with the problem of synthesizing the optimal positional control.