Control of Equilibria for Nonlinear Stochastic Discrete-Time Systems / Bashkirtseva Irina,Ryashko Lev // IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - 2011. - V. 56, l. 9. - P. 2162-2166.

ISSN/EISSN:

0018-9286 / 1558-2523

Type:

Article

Abstract:

We consider a nonlinear discrete-time control system forced by stochastic disturbances. The problem addressed is a design of the feedback regulator that stabilizes an equilibrium of the closed-loop deterministic system and synthesizes a required dispersion of random states for corresponding stochastic system. To solve this problem we develop a method based on the stochastic sensitivity matrix technique. Main results of this technical note concern the synthesis of the stochastic sensitivity matrix, a geometric description of attainability set, and constructive design of regulator parameters. The effectiveness of the proposed approach is demonstrated on the stochastic Henon model. Using our technique we provide a low level of sensitivity for stochastically forced equilibria and suppress both regular and chaotic oscillations.

Author keywords:

Attainability; control; discrete-time systems; stochastic equilibria; stochastic sensitivity; suppressing chaos CHAOS; SENSITIVITY

DOI:

10.1109/TAC.2011.2142630

Web of Science ID:

ISI:000294847600016

Соавторы в МНС:

Другие поля

Поле	Значение
Month	SEP
Publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Address	445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA
Language	English
EISSN	1558-2523
Keywords-Plus	CHAOS; SENSITIVITY
Research-Areas	Automation \& Control Systems; Engineering
Web-of-Science-Categories	Automation \& Control Systems; Engineering, Electrical \& Electronic
Author-Email	irina.bashkirtseva@usu.ru lev.ryashko@usu.ru
Funding-Acknowledgement	RFBR {[}09-01-00026, 09-08-00048, 10-01-96022ural]; FTP {[}02.740.11.0202]
Funding-Text	This work was supported in part by RFBR Grants 09-01-00026, 09-08-00048, 10-01-96022ural, and FTP 02.740.11.0202. Recommended by Associate Editor Z. Wang.
Number-of-Cited-References	17
Usage-Count-Since-2013	10
Journal-ISO	IEEE Trans. Autom. Control
Doc-Delivery-Number	819RP