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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2016 Issue 7, Pages 47–67 (Mi at14506)

This article is cited in 2 papers

Nonlinear Systems

Quasi-optimal control of dynamic systems

V. M. Aleksandrov

Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia

Abstract: For linear systems under bounded control, consideration was given to a pair of methods for approximate solution of the speed problem. Independence of the initial conditions for the switching moments of the quasi-optimal control and their constancy for systems with constant parameters were proved. A domain of initial conditions where the control constraints are not violated was determined. The properties and distinctions of the quasi-optimal control were established. A way to approximate a quasi-optimal control to the optimal one was considered, and the closeness estimate was given.

Presented by the member of Editorial Board: I. V. Roublev

Received: 20.10.2014


 English version:
Automation and Remote Control, 2016, 77:7, 1163–1179

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