Eur. Phys. J. B (2013) 86: 437
https://doi.org/10.1140/epjb/e2013-40592-2

Regular Article

Stabilizing stochastically-forced oscillation generators with hard excitement: a confidence-domain control approach

¹ Department of Mathematics, Ural Federal University, Lenina 51, 620083 Ekaterinburg, Russia
² Department of Electronic Engineering, City University of Hong Kong, Hong Kong, P.R. China

^a e-mail: lev.ryashko@usu.ru

Received: 20 June 2013
Received in final form: 6 September 2013
Published online: 16 October 2013

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.