71424

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Conditions for existence of second-order and third-order filters for discrete systems with additive noises

ISBN/ISSN: 

eISSN: 2227-7390

DOI: 

10.3390/math10030370

Наименование источника: 

  • MATHEMATICS

Обозначение и номер тома: 

Vol. 10, no. 3.

Город: 

  • Москва

Издательство: 

  • Mathematics

Год издания: 

2022

Страницы: 

370 (1-10)
Аннотация
The problem of constructing functional optimal observers (filters) for stochastic control systems with additive noises in discrete time are studied in this work. Under the assumption that there is no filter of the first order, necessary and sufficient conditions for the existence of filters of the second and third order are obtained in the canonical basis. Analytical expressions of the transfer function matrix from the input noise to the estimation error are presented. A numerical example is given to compare the performance of filters by the quadratic criterion in the steady state.

Библиографическая ссылка: 

Каменщиков М.А. Conditions for existence of second-order and third-order filters for discrete systems with additive noises // MATHEMATICS. 2022. Vol. 10, no. 3. С. 370 (1-10).