H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system

Lingchun Li; Guangming Zhang; Shen Yan

doi:10.1145/3149827.3149845

H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system

Lingchun Li, Guangming Zhang, Shen Yan

COLLEGE OF ELECTRICAL ENGINEERING AND CONTROL SCIENCE

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper addresses the H_? state feedback control of continuous Markov jump LPV systems. A separating technique is employed to tackle the coupling among Lyapunov variable, system matrix, and controller parameter. Worst-case analysis is used for LPV systems to design gain-scheduled controllers. Based on these strategies, new sufficient conditions for the closed-loop system to be stochastically stable are formulated in the framework of linear matrix inequalities. Finally, the derived stabilization condition is applied to the control of a four-freedom active magnetic bearing.

Original language	English
Title of host publication	Proceedings of the 2017 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017
Publisher	Association for Computing Machinery
Pages	88-89
Number of pages	2
ISBN (Electronic)	9781450353397
DOIs	https://doi.org/10.1145/3149827.3149845
State	Published - 11 Oct 2017
Event	5th International Conference on Control, Mechatronics and Automation, ICCMA 2017 - Edmonton, Canada Duration: 11 Oct 2017 → 13 Oct 2017

Publication series

Name	ACM International Conference Proceeding Series

Conference

Conference	5th International Conference on Control, Mechatronics and Automation, ICCMA 2017
Country/Territory	Canada
City	Edmonton
Period	11/10/17 → 13/10/17

Keywords

Active magnetic bearing ?AMBs?
Linear parameter-varying (LPV)
Markov jump systems (MJSs)
Separating technique

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10.1145/3149827.3149845

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Li, L., Zhang, G., & Yan, S. (2017). H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system. In Proceedings of the 2017 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017 (pp. 88-89). (ACM International Conference Proceeding Series). Association for Computing Machinery. https://doi.org/10.1145/3149827.3149845

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title = "H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system",

abstract = "This paper addresses the H? state feedback control of continuous Markov jump LPV systems. A separating technique is employed to tackle the coupling among Lyapunov variable, system matrix, and controller parameter. Worst-case analysis is used for LPV systems to design gain-scheduled controllers. Based on these strategies, new sufficient conditions for the closed-loop system to be stochastically stable are formulated in the framework of linear matrix inequalities. Finally, the derived stabilization condition is applied to the control of a four-freedom active magnetic bearing.",

keywords = "Active magnetic bearing ?AMBs?, Linear parameter-varying (LPV), Markov jump systems (MJSs), Separating technique",

author = "Lingchun Li and Guangming Zhang and Shen Yan",

note = "Publisher Copyright: {\textcopyright} 2017 Association for Computing Machinery.; 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017 ; Conference date: 11-10-2017 Through 13-10-2017",

year = "2017",

month = oct,

day = "11",

doi = "10.1145/3149827.3149845",

language = "英语",

series = "ACM International Conference Proceeding Series",

publisher = "Association for Computing Machinery",

pages = "88--89",

booktitle = "Proceedings of the 2017 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017",

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Li, L, Zhang, G & Yan, S 2017, H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system. in Proceedings of the 2017 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017. ACM International Conference Proceeding Series, Association for Computing Machinery, pp. 88-89, 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017, Edmonton, Canada, 11/10/17. https://doi.org/10.1145/3149827.3149845

H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system. / Li, Lingchun; Zhang, Guangming; Yan, Shen.
Proceedings of the 2017 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017. Association for Computing Machinery, 2017. p. 88-89 (ACM International Conference Proceeding Series).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system

AU - Li, Lingchun

AU - Zhang, Guangming

AU - Yan, Shen

PY - 2017/10/11

Y1 - 2017/10/11

N2 - This paper addresses the H? state feedback control of continuous Markov jump LPV systems. A separating technique is employed to tackle the coupling among Lyapunov variable, system matrix, and controller parameter. Worst-case analysis is used for LPV systems to design gain-scheduled controllers. Based on these strategies, new sufficient conditions for the closed-loop system to be stochastically stable are formulated in the framework of linear matrix inequalities. Finally, the derived stabilization condition is applied to the control of a four-freedom active magnetic bearing.

AB - This paper addresses the H? state feedback control of continuous Markov jump LPV systems. A separating technique is employed to tackle the coupling among Lyapunov variable, system matrix, and controller parameter. Worst-case analysis is used for LPV systems to design gain-scheduled controllers. Based on these strategies, new sufficient conditions for the closed-loop system to be stochastically stable are formulated in the framework of linear matrix inequalities. Finally, the derived stabilization condition is applied to the control of a four-freedom active magnetic bearing.

KW - Active magnetic bearing ?AMBs?

KW - Linear parameter-varying (LPV)

KW - Markov jump systems (MJSs)

KW - Separating technique

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DO - 10.1145/3149827.3149845

M3 - 会议稿件

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T3 - ACM International Conference Proceeding Series

SP - 88

EP - 89

BT - Proceedings of the 2017 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017

PB - Association for Computing Machinery

T2 - 5th International Conference on Control, Mechatronics and Automation, ICCMA 2017

Y2 - 11 October 2017 through 13 October 2017

ER -

H? control of Markov jump LPV systems for a four degree-of-freedom active magnetic bearing system

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Keywords

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