Standard

Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise. / Amelin, K.; Granichin, O.

2012 AMERICAN CONTROL CONFERENCE (ACC). Institute of Electrical and Electronics Engineers Inc., 2012. p. 851-856 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Amelin, K & Granichin, O 2012, Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise. in 2012 AMERICAN CONTROL CONFERENCE (ACC). Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 851-856, American Control Conference (ACC), Montreal, Canada, 27/06/12. <http://www.math.spbu.ru/user/gran/papers/0276ACC.pdf>

APA

Amelin, K., & Granichin, O. (2012). Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise. In 2012 AMERICAN CONTROL CONFERENCE (ACC) (pp. 851-856). (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. http://www.math.spbu.ru/user/gran/papers/0276ACC.pdf

Vancouver

Amelin K, Granichin O. Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise. In 2012 AMERICAN CONTROL CONFERENCE (ACC). Institute of Electrical and Electronics Engineers Inc. 2012. p. 851-856. (Proceedings of the American Control Conference).

Author

Amelin, K. ; Granichin, O. / Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise. 2012 AMERICAN CONTROL CONFERENCE (ACC). Institute of Electrical and Electronics Engineers Inc., 2012. pp. 851-856 (Proceedings of the American Control Conference).

BibTeX

@inproceedings{9bcac176fe2945589ccce70347f101be,
title = "Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise",
abstract = "This paper considers the possibilities of randomized controls for designing confidence regions for unknown parameters. The assumptions about external noise that affect a linear plant are reduced to a minimum: external noise can virtually be arbitrary, but, independently of it, the user must be able to add test perturbations through the input channel. Based on a finite set of observations, we suggest a new procedure which can be used in adaptive control schemes. It has been developed in the general framework of {"}counting of leave-out sign-dominant correlation regions{"} (LSCR), which is mostly being promoted by M. Campi et al. for identification problems. The procedure returns confidence regions which are guaranteed to contain true parameters with a user-chosen probability. The theoretical results are illustrated by an example of a nonminimum-phase second-order plant.",
author = "K. Amelin and O. Granichin",
year = "2012",
language = "Английский",
isbn = "978-1-4577-1095-7",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "851--856",
booktitle = "2012 AMERICAN CONTROL CONFERENCE (ACC)",
address = "Соединенные Штаты Америки",
note = "null ; Conference date: 27-06-2012 Through 29-06-2012",

}

RIS

TY - GEN

T1 - Randomized Controls for Linear Plants and Confidence Regions for Parameters under External Arbitrary Noise

AU - Amelin, K.

AU - Granichin, O.

PY - 2012

Y1 - 2012

N2 - This paper considers the possibilities of randomized controls for designing confidence regions for unknown parameters. The assumptions about external noise that affect a linear plant are reduced to a minimum: external noise can virtually be arbitrary, but, independently of it, the user must be able to add test perturbations through the input channel. Based on a finite set of observations, we suggest a new procedure which can be used in adaptive control schemes. It has been developed in the general framework of "counting of leave-out sign-dominant correlation regions" (LSCR), which is mostly being promoted by M. Campi et al. for identification problems. The procedure returns confidence regions which are guaranteed to contain true parameters with a user-chosen probability. The theoretical results are illustrated by an example of a nonminimum-phase second-order plant.

AB - This paper considers the possibilities of randomized controls for designing confidence regions for unknown parameters. The assumptions about external noise that affect a linear plant are reduced to a minimum: external noise can virtually be arbitrary, but, independently of it, the user must be able to add test perturbations through the input channel. Based on a finite set of observations, we suggest a new procedure which can be used in adaptive control schemes. It has been developed in the general framework of "counting of leave-out sign-dominant correlation regions" (LSCR), which is mostly being promoted by M. Campi et al. for identification problems. The procedure returns confidence regions which are guaranteed to contain true parameters with a user-chosen probability. The theoretical results are illustrated by an example of a nonminimum-phase second-order plant.

M3 - статья в сборнике материалов конференции

SN - 978-1-4577-1095-7

T3 - Proceedings of the American Control Conference

SP - 851

EP - 856

BT - 2012 AMERICAN CONTROL CONFERENCE (ACC)

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 27 June 2012 through 29 June 2012

ER -

ID: 74016063