KFU. Card publication. Optimal Estimation of the Linear Functional of State Variables of a Dynamic System

KAZAN
FEDERAL UNIVERSITY

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OPTIMAL ESTIMATION OF THE LINEAR FUNCTIONAL OF STATE VARIABLES OF A DYNAMIC SYSTEM

Form of presentation

Conference proceedings in Russian journals and collections

Year of publication

2020

Authors, employees of KFU

Demyanov Dmitriy Nikolaevich, author

Authors, postgraduates KFU

Volkov Vasiliy Gennadevich, postgraduate kfu

Bibliographic description in the original language

V. Volkov and D. Demyanov, "Optimal Estimation of the Linear Functional of State Variables of a Dynamic System," 2019 XXI International Conference Complex Systems: Control and Modeling Problems (CSCMP), Samara, Russia, 2019, pp. 640-643.

Annotation

The paper considers the problem of building an observer that ensures optimal estimation of the linear functional of state variables of a dynamic system. In addition, the degree of influence of unknown initial conditions on the integral error of observation in the absence of an external disturbance (the level of initial disturbance rejection in the system) acts as a minimized criterion. It is shown that when a number of constraints are fulfilled, an observer can be used to solve the problem posed, the order of which is equal to the order of the estimated functional. The conditions for the existence of such an observer is determined, the linear matrix inequalities, the solution of which allows one to determine its matrix coefficients are formulated.

Keywords

dynamic system, state variables, linear functional, nonzero initial conditions, optimal estimation, matrix canonization, linear matrix inequalities

Publishing house

IEEE

URL

https://ieeexplore.ieee.org/abstract/document/8976873/

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=225220&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Demyanov Dmitriy Nikolaevich	ru_RU
dc.contributor.author	Volkov Vasiliy Gennadevich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	V. Volkov and D. Demyanov, "Optimal Estimation of the Linear Functional of State Variables of a Dynamic System," 2019 XXI International Conference Complex Systems: Control and Modeling Problems (CSCMP), Samara, Russia, 2019, pp. 640-643.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=225220&p_lang=2	ru_RU
dc.description.abstract	The paper considers the problem of building an observer that ensures optimal estimation of the linear functional of state variables of a dynamic system. In addition, the degree of influence of unknown initial conditions on the integral error of observation in the absence of an external disturbance (the level of initial disturbance rejection in the system) acts as a minimized criterion. It is shown that when a number of constraints are fulfilled, an observer can be used to solve the problem posed, the order of which is equal to the order of the estimated functional. The conditions for the existence of such an observer is determined, the linear matrix inequalities, the solution of which allows one to determine its matrix coefficients are formulated.	ru_RU
dc.language.iso	ru	ru_RU
dc.publisher	IEEE	ru_RU
dc.subject	dynamic system	ru_RU
dc.subject	state variables	ru_RU
dc.subject	linear functional	ru_RU
dc.subject	nonzero initial conditions	ru_RU
dc.subject	optimal estimation	ru_RU
dc.subject	matrix canonization	ru_RU
dc.subject	linear matrix inequalities	ru_RU
dc.title	Optimal Estimation of the Linear Functional of State Variables of a Dynamic System	ru_RU
dc.type	Conference proceedings in Russian journals and collections	ru_RU