\( \mathcal{H}_2\) control of Markovian jump systems with input saturation and incomplete knowledge of transition probabilities
type: Item
instance of: scholarly article
title: \( \mathcal{H}_2\) control of Markovian jump systems with input saturation and incomplete knowledge of transition probabilities
zbMATH Open document ID: 1459.93146
DOI: 10.1155/2020/8868234
author: Bum Yong Park
published in: Mathematical Problems in Engineering
publication date: 2021-01-04T00:00:00Z
review text: Summary: This paper proposes an \(\operatorname{\mathcal{H}}_2\) state-feedback controller for Markovian jump systems with input saturation and incomplete knowledge of transition probabilities. The proposed controller is developed using second-order matrix polynomials of an incomplete transition rate to derive less conservative stabilization conditions. The proposed controller not only guarantees \(\operatorname{\mathcal{H}}_2\) performance but also rejects matched disturbances. The effectiveness of the proposed method is demonstrated using three numerical examples.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 60J28
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 7290108
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8868234
OpenAlex ID: W3112413199
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description: scientific article; zbMATH DE number 7290108