Controlling the equilibria of nonlinear stochastic systems based on noisy data / Bashkirtseva Irina,Ryashko Lev,Chen Guanrong // JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS. - 2017. - V. 354, l. 3. - P. 1658-1672.

ISSN/EISSN:

0016-0032 / 1879-2693

Type:

Article

Abstract:

For controlling an equilibrium of a nonlinear stochastic system, the problem of stabilization and synthesis with a required dispersion is studied. This problem is solved for the case where the feedback regulator uses noisy data. The new approach is based on an extension of the stochastic sensitivity synthesis method. Technically, this problem is reduced to the analysis of some quadratic matrix equations. A solution to the problem of minimizing the stochastic sensitivity is given. Details of such analysis are discussed for 2D and 3D nonlinear stochastic oscillators. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Author keywords:

нет данных

DOI:

10.1016/j.jfranklin.2016.11.01

Web of Science ID:

ISI:000393007800021

Соавторы в МНС:

Другие поля

Поле	Значение
Month	FEB
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
EISSN	1879-2693
Research-Areas	Automation \& Control Systems; Engineering; Mathematics
Web-of-Science-Categories	Automation \& Control Systems; Engineering, Multidisciplinary; Engineering, Electrical \& Electronic; Mathematics, Interdisciplinary Applications
Author-Email	irina.bashkirtseva@urfu.ru lev.ryashko@urfu.ru eegchen@cityu.edu.hk
Funding-Acknowledgement	Hong Kong Research Grant Council under the GRF Grant {[}CityU11201414]; Government of the Russian Federation {[}02. A03.21.0006]; RFBR {[}16-08-00388]
Funding-Text	This research was supported by the Hong Kong Research Grant Council under the GRF Grant CityU11201414, the Government of the Russian Federation (Act 211, Contract no. 02. A03.21.0006) and RFBR (16-08-00388).
Number-of-Cited-References	36
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	4
Journal-ISO	J. Frankl. Inst.-Eng. Appl. Math.
Doc-Delivery-Number	EJ1YZ