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Quasi-optimal control of dynamic systems

  • Nonlinear Systems
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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.

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Authors and Affiliations

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

    V. M. Aleksandrov

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  1. V. M. Aleksandrov
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Correspondence to V. M. Aleksandrov.

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Original Russian Text © V.M. Aleksandrov, 2016, published in Avtomatika i Telemekhanika, 2016, No. 7, pp. 47–67.

This paper was recommended for publication by I.V. Rublev, a member of the Editorial Board

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Aleksandrov, V.M. Quasi-optimal control of dynamic systems. Autom Remote Control 77, 1163–1179 (2016). https://doi.org/10.1134/S0005117916070043

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  • DOI: https://doi.org/10.1134/S0005117916070043

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