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Vestnik of Astrakhan State Technical University. Series: Management, Computer Sciences and Informatics, 2015, Number 3, Pages 96–103
(Mi vagtu392)
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MATHEMATICAL MODELING
Stabilization of the balanced modes for basic nonlinear models with chaotic dynamics
V. Yu. Kucherova, L. K. Kilchukova Kabardino-Balkarian State University
Abstract:
The development of the procedures for synergetic synthesis of the laws of control of basic nonlinear dynamical systems, which provide chaotic modes suppression, is described. One of the most typical problems of the anti-chaotic control — the task of suppression of aperiodic fluctuations in such systems is solved. Synergetic laws of control of Lorenz and Ressler chaotic models providing stabilization of phase variables are developed. Introduction of the synthesized feedbacks leads to emergence in the systems of the balanced modes. The computer modeling of the synthesized closed dynamical systems is made; it confirms synergetic theory foundation. The synthesized control laws can be used in different technical applications.
Keywords:
chaos, Lorenz model, Ressler model, dynamical system, control, synergetics, feedback, auto-oscillations.
Received: 21.04.2015 Revised: 15.05.2015
Citation:
V. Yu. Kucherova, L. K. Kilchukova, “Stabilization of the balanced modes for basic nonlinear models with chaotic dynamics”, Vestn. Astrakhan State Technical Univ. Ser. Management, Computer Sciences and Informatics, 2015, no. 3, 96–103
Linking options:
https://www.mathnet.ru/eng/vagtu392 https://www.mathnet.ru/eng/vagtu/y2015/i3/p96
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Abstract page: | 100 | Full-text PDF : | 42 | References: | 20 |
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