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H_infinity control for 2D Markov jump systems in Roesser model

H_infinity control for 2D Markov jump systems in Roesser model
H_infinity control for 2D Markov jump systems in Roesser model

This paper considers the problem of asynchronous H_infinity control for two-dimensional (2D) Markov jump systems. The underlying system is described based upon Roesser model. Specially, the hidden Markov model is employed when dealing with the asynchronization between controlled system and controller, and the relation between them is constructed through a conditional probability matrix. Based on Lyapunov function technique, the asymptotic mean square stability and H_infinity noise attenuation performance are investigated for the closed-loop 2D system. Moreover, the controller gain can be obtained by solving a convex optimization problem. An example is presented to show the effectiveness and potential of the proposed new design technique.

2D system, Asymptotic stability, Attenuation, Boundary conditions, Control systems, H control, hidden Markov model, Hidden Markov models, Markov jump systems, Markov processes, Two dimensional displays
0018-9286
Wu, Zheng Guang
e1f8329d-5986-4dba-8da4-494572aab81f
Shen, Ying
7c858c43-5685-4092-8620-8c9d382764da
Shi, Peng
81111e49-129d-45ba-9035-1cb28977bd2a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Su, Hongye
49abac6c-096f-493e-b412-8948bbea3c30
Wu, Zheng Guang
e1f8329d-5986-4dba-8da4-494572aab81f
Shen, Ying
7c858c43-5685-4092-8620-8c9d382764da
Shi, Peng
81111e49-129d-45ba-9035-1cb28977bd2a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Su, Hongye
49abac6c-096f-493e-b412-8948bbea3c30

Wu, Zheng Guang, Shen, Ying, Shi, Peng, Shu, Zhan and Su, Hongye (2018) H_infinity control for 2D Markov jump systems in Roesser model. IEEE Transactions on Automatic Control. (doi:10.1109/TAC.2018.2831176).

Record type: Article

Abstract

This paper considers the problem of asynchronous H_infinity control for two-dimensional (2D) Markov jump systems. The underlying system is described based upon Roesser model. Specially, the hidden Markov model is employed when dealing with the asynchronization between controlled system and controller, and the relation between them is constructed through a conditional probability matrix. Based on Lyapunov function technique, the asymptotic mean square stability and H_infinity noise attenuation performance are investigated for the closed-loop 2D system. Moreover, the controller gain can be obtained by solving a convex optimization problem. An example is presented to show the effectiveness and potential of the proposed new design technique.

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More information

Accepted/In Press date: 26 April 2018
e-pub ahead of print date: 27 April 2018
Keywords: 2D system, Asymptotic stability, Attenuation, Boundary conditions, Control systems, H control, hidden Markov model, Hidden Markov models, Markov jump systems, Markov processes, Two dimensional displays

Identifiers

Local EPrints ID: 424882
URI: http://eprints.soton.ac.uk/id/eprint/424882
ISSN: 0018-9286
PURE UUID: 3db0ad9c-b81e-400d-b680-e0034911af41
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 05 Oct 2018 11:52
Last modified: 15 Mar 2024 19:55

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Contributors

Author: Zheng Guang Wu
Author: Ying Shen
Author: Peng Shi
Author: Zhan Shu ORCID iD
Author: Hongye Su

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