Optimal finite-time state estimation for discrete-time switched systems under switching frequency constraint
type: Item
instance of: scholarly article
title: Optimal finite-time state estimation for discrete-time switched systems under switching frequency constraint
zbMATH Open document ID: 1407.93075
DOI: 10.1155/2014/512485
author: Lin Du
author: Weiming Xiang
author: Yongchi Zhao
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The state estimation problem for a class of switched linear systems which only switches in some short interval is addressed. Besides the asymptotic stability of error dynamics, the boundness of error state is a significant issue for short-time switched systems. By introducing the concept of finite-time stability, the state estimation procedure is formulated to determine appropriate observer gains ensuring the error dynamics is finite-time stable in the short-time switching intervals of interest. Optimal finite-time observers are designed through iterative algorithms to minimize the bound of error state, in the cases with and without disturbances. Particularly, when the total activation time is known, a less conservative result can be derived and an optimization problem can be solved with the help of the genetic algorithm. A numerical example is provided to illustrate the theoretical findings in this paper.
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7016624
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/512485
OpenAlex ID: W2020222965
Wikidata QID: Q59068057
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description: scientific article; zbMATH DE number 7016624