KFU. Card publication. Оптимальное оценивание линейного функционала переменных состояния динамической системы

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FEDERAL UNIVERSITY

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ОПТИМАЛЬНОЕ ОЦЕНИВАНИЕ ЛИНЕЙНОГО ФУНКЦИОНАЛА ПЕРЕМЕННЫХ СОСТОЯНИЯ ДИНАМИЧЕСКОЙ СИСТЕМЫ

Form of presentation

Conference proceedings in Russian journals and collections

Year of publication

2019

Authors, employees of KFU

Demyanov Dmitriy Nikolaevich, author

Authors, postgraduates KFU

Volkov Vasiliy Gennadevich, postgraduate kfu

Bibliographic description in the original language

Volkov V. G., Demyanov D. N. Optimalnoe ocenivanie lineynogo funkcionala peremennykh sostoyaniya dinamicheskoy sistemy // Problemy upravleniya i modelirovaniya v slozhnykh sistemakh: Trudy XXI Mezhdunarodnoy konferencii (3-6 sentyabrya 2019 g. Samara, Rossiya): v 2-kh t. / Pod red.: S. A. Nikitova, D. E. Bykova, S. Yu. Borovika, Yu. E. Pleshivcevoy. ? Samara: OOO "Ofort", 2019.

Annotation

In the present paper, we consider the problem of constructing an observer that ensures optimal estimation of the linear functional of the state variables of a dynamic system. At the same time, 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. We show 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. We determine the conditions for the existence of such an observer and formulate linear matrix inequalities, the solution of which allows determining its matrix coefficients.

Keywords

динамическая система, переменные состояния, линейный функционал, ненулевые начальные условия, оптимальное оценивание, канонизация матриц, линейные матричные неравенства

Place of publication

Самара

Publishing house

ОФОРТ

URL

http://www.iccs.ru/cscmp/cscmp_archive/cscmp_2019_v1.pdf

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

https://repository.kpfu.ru/eng/?p_id=209063&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	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Волков В. Г., Демьянов Д. Н. Оптимальное оценивание линейного функционала переменных состояния динамической системы // Проблемы управления и моделирования в сложных системах: Труды XXI Международной конференции (3-6 сентября 2019 г. Самара, Россия): в 2-х т. / Под ред.: С. А. Никитова, Д. Е. Быкова, С. Ю. Боровика, Ю. Э. Плешивцевой. ? Самара: ООО "Офорт", 2019.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=209063&p_lang=2	ru_RU
dc.description.abstract	In the present paper, we consider the problem of constructing an observer that ensures optimal estimation of the linear functional of the state variables of a dynamic system. At the same time, 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. We show 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. We determine the conditions for the existence of such an observer and formulate linear matrix inequalities, the solution of which allows determining its matrix coefficients.	ru_RU
dc.language.iso	ru	ru_RU
dc.publisher	ОФОРТ	ru_RU
dc.subject	динамическая система	ru_RU
dc.subject	переменные состояния	ru_RU
dc.subject	линейный функционал	ru_RU
dc.subject	ненулевые начальные условия	ru_RU
dc.subject	оптимальное оценивание	ru_RU
dc.subject	канонизация матриц	ru_RU
dc.subject	линейные матричные неравенства	ru_RU
dc.title	Оптимальное оценивание линейного функционала переменных состояния динамической системы	ru_RU
dc.type	Conference proceedings in Russian journals and collections	ru_RU