Stabilizing stochastically-forced oscillation generators with hard excitement: a confidence-domain control approach / Bashkirtseva Irina,Chen Guanrong,Ryashko Lev // EUROPEAN PHYSICAL JOURNAL B. - 2013. - V. 86, l. 10.

ISSN/EISSN:

1434-6028 / 1434-6036

Type:

Article

Abstract:

In this paper, noise-induced destruction of self-sustained oscillations is studied for a stochastically-forced generator with hard excitement. The problem is to design a feedback regulator that can stabilize a limit cycle of the closed-loop system and to provide a required dispersion of the generated oscillations. The approach is based on the stochastic sensitivity function (SSF) technique and confidence domain method. A theory about the synthesis of assigned SSF is developed. For the case when this control problem is ill-posed, a regularization method is constructed. The effectiveness of the new method of confidence domain is demonstrated by stabilizing auto-oscillations in a randomly-forced generator with hard excitement.

Author keywords:

SENSITIVITY; SYSTEMS

DOI:

10.1140/epjb/e2013-40592-2

Web of Science ID:

ISI:000326381900004

Соавторы в МНС:

Другие поля

Поле	Значение
Month	OCT 16
Publisher	SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013 USA
Language	English
Article-Number	437
EISSN	1434-6036
Keywords-Plus	SENSITIVITY; SYSTEMS
Research-Areas	Physics
Web-of-Science-Categories	Physics, Condensed Matter
Author-Email	lev.ryashko@usu.ru
ORCID-Numbers	Chen, Guanrong/0000-0003-1381-7418
Funding-Acknowledgement	Ministry of education and science of Russia {[}14.A18.21.0364]; RFBR {[}13-08-00069]
Funding-Text	This work was partially supported by The Ministry of education and science of Russia (project 14.A18.21.0364) and RFBR (13-08-00069).
Number-of-Cited-References	27
Usage-Count-Since-2013	3
Journal-ISO	Eur. Phys. J. B
Doc-Delivery-Number	244IR