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ALGORITHMS FOR SYNTHESIS OF DISCRETE CONTROLLERS IN NONLINEAR CONTROL SYSTEMS WITH DELAY
Author(s) -
Alisher Mallayev,
Suban Xusanov
Publication year - 2020
Publication title -
tehnika fanlari va innovaciâ (print)
Language(s) - English
Resource type - Journals
eISSN - 2181-1180
pISSN - 2181-0400
DOI - 10.51346/tstu-02.21.1-77-0012
Subject(s) - control theory (sociology) , nonlinear system , computer science , controller (irrigation) , discrete system , discrete space , invariant (physics) , discrete time and continuous time , control system , nonlinear control , translation (biology) , mathematics , control (management) , algorithm , engineering , artificial intelligence , mathematical analysis , biochemistry , statistics , physics , chemistry , electrical engineering , quantum mechanics , messenger rna , gene , agronomy , mathematical physics , biology
Algorithms for the synthesis of discrete controllers in nonlinear control systems, taking into account the delay, have been proposed. The synthesized vector controller provides a solution to the control problem, for example, the translation of the image point of a closed system from arbitrary initial conditions to the origin of the phase space coordinates. Built on the basis of a series-parallel set of invariant manifolds, the dynamic discrete controller ensures the fulfillment of the specified technological requirements, the asymptotic stability of a closed discrete-continuous system, and has the property of predicting the behavior of the system after sampling. These algorithms have made it possible to effectively solve the problems of synthesis of discrete controllers, taking into account the delay in process control systems.

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