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H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer

H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer
H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer
This paper aims to design an asynchronous state feedback controller for Markov jump time-delay systems. The highlight of this work lies in that the state feedback is quantized by a logarithmic quantizer, and both the controller and quantizer are asynchronous with the controlled systems. By Lyapunov–Krasovskii functional, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically mean square stable with a prescribed H∞ performance index. Finally, an example is presented to illustrate the effectiveness and new features of proposed design method.
0005-1098
352-360
Sheng, Ying
cc8c128b-187f-449c-bd09-fbe597f8f116
Wu, Zhengguang
22af5779-f570-4d71-9cfc-c6209356673f
Shi, Peng
97fe9191-5aa5-4f49-9a7d-6034f884d006
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Karimi, Hamid Reza
1a43476b-38b0-4e2d-a78e-72b5b0fd4c95
Sheng, Ying
cc8c128b-187f-449c-bd09-fbe597f8f116
Wu, Zhengguang
22af5779-f570-4d71-9cfc-c6209356673f
Shi, Peng
97fe9191-5aa5-4f49-9a7d-6034f884d006
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Karimi, Hamid Reza
1a43476b-38b0-4e2d-a78e-72b5b0fd4c95

Sheng, Ying, Wu, Zhengguang, Shi, Peng, Shu, Zhan and Karimi, Hamid Reza (2019) H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer. Automatica, 99, 352-360. (doi:10.1016/j.automatica.2018.10.056).

Record type: Article

Abstract

This paper aims to design an asynchronous state feedback controller for Markov jump time-delay systems. The highlight of this work lies in that the state feedback is quantized by a logarithmic quantizer, and both the controller and quantizer are asynchronous with the controlled systems. By Lyapunov–Krasovskii functional, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically mean square stable with a prescribed H∞ performance index. Finally, an example is presented to illustrate the effectiveness and new features of proposed design method.

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17_1429_04_MS - Accepted Manuscript
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More information

Accepted/In Press date: 12 October 2018
e-pub ahead of print date: 16 November 2018
Published date: January 2019

Identifiers

Local EPrints ID: 426568
URI: http://eprints.soton.ac.uk/id/eprint/426568
ISSN: 0005-1098
PURE UUID: b7b8f0ca-c276-4ff0-b972-8a75a4249831
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 30 Nov 2018 17:30
Last modified: 26 Nov 2021 05:30

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Contributors

Author: Ying Sheng
Author: Zhengguang Wu
Author: Peng Shi
Author: Zhan Shu ORCID iD
Author: Hamid Reza Karimi

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