Approximate synthesis of optimal systems of automate type

Аuthors

Pegachkova E. A.

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e-mail: pegachkova@mail.ru

Abstract

We consider determined discrete systems of automate type (ATS) modeling operating of a dynamic automate with memory. Sufficient conditions of ATS optimality at instantaneous switches of the automate part have been obtained. Methods of approximate synthesis of optimal position control has been carried out. Methods of suboptiomal synthesis of ATS have been applied for the task with square criteria of quality, software tool for the approximate solution of the problem created. The equations for finding suboptimal regulators of ATS with taking under consideration instantaneous repeated switches of the automate part have been obtained. Analytical and approximate solutions of the example of synthesis of optimal controller for linear ATS with square criteria of quality were given.

Keywords:

optimal control; systems of automate type; square criteria of quality; sufficient optimality conditions

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