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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013