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Investigation of Transitional Processes and Sliding Motions in Quasi-Relay Follow-Up Systems

Abstract

The paper demonstrates that it is possible significantly to simplify technical realization of sliding modes in quasi-relay follow-up systems having non-reversive direct tract supplemented by a reverse channel. Conditions for existence of sliding modes in such quasi-relay systems are obtained in the paper. The paper formulates and proves a theorem of representation point transfer on switching-over hypersurface.  Stability of sliding motions has been investigated in the paper. The paper reveals the possibility of quasi-optimum quick-action motions. The conditions for existence of such motions has been determined in the paper.

About the Author

A. S. Mikhalev
Republican Institute of Higher Education
Belarus


References

1. Емельянов, С. В. Системы автоматического управления с переменной структурой / С. В. Емельянов. – М. : Наука, 1967. – 320 с.

2. Михалев, А. С. Квазирелейные системы / А. С. Михалев // Радиофизика и электроника : сб. науч. тр. – Минск : БГУ, 1997. – Вып. 3.

3. Маркина, Л. И. Итерационный синтез автоматических систем с разрывными законами управления / Л. И. Маркина, А. С. Михалев // Выбраныя навуковыя працы Беларускага дзяржаўнага універсітэта. – Мінск : БДУ, 2001. – Т. 4 : Фізіка. – С. 586–605.


Review

For citations:


Mikhalev A.S. Investigation of Transitional Processes and Sliding Motions in Quasi-Relay Follow-Up Systems. ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations. 2010;(6):19-26. (In Russ.)

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ISSN 1029-7448 (Print)
ISSN 2414-0341 (Online)