Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities

Ting Yang; Xinmin Wang; Lixian Zhang

doi:10.1109/YAC.2016.7804915

Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities

Ting Yang
, Xinmin Wang
, Lixian Zhang

Northwestern Polytechnical University Xian
School of Astronautics, Harbin Institute of Technology

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

1 Scopus citations

Abstract

This paper focuses on the output-feedback controller design problem for a kind of continuous-time switched linear systems. The switching rule is state-dependent and satisfies a relaxed min-switching logic. The switching rule and the switching output-feedback controller can be derived by utilizing the modified Lyapunov-Metzler inequalities and the obtained closed-loop system guarantees a prespecified gain performance. Some special techniques are employed such that the variables in the proposed conditions can be mode-dependent, instead of partly mode-dependent.

Original language	English
Title of host publication	Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	339-343
Number of pages	5
ISBN (Electronic)	9781509044238
DOIs	https://doi.org/10.1109/YAC.2016.7804915
State	Published - 3 Jan 2017
Externally published	Yes
Event	31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016 - Wuhan, China Duration: 11 Nov 2016 → 13 Nov 2016

Publication series

Name	Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016

Conference

Conference	31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016
Country/Territory	China
City	Wuhan
Period	11/11/16 → 13/11/16

Keywords

Lyapunov-Metzler inequalities
Output-feedback control
switched linear systems

Access to Document

10.1109/YAC.2016.7804915

Cite this

Yang, T., Wang, X., & Zhang, L. (2017). Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities. In Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016 (pp. 339-343). Article 7804915 (Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/YAC.2016.7804915

Yang, Ting ; Wang, Xinmin ; Zhang, Lixian. / Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities. Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 339-343 (Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016).

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title = "Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities",

abstract = "This paper focuses on the output-feedback controller design problem for a kind of continuous-time switched linear systems. The switching rule is state-dependent and satisfies a relaxed min-switching logic. The switching rule and the switching output-feedback controller can be derived by utilizing the modified Lyapunov-Metzler inequalities and the obtained closed-loop system guarantees a prespecified gain performance. Some special techniques are employed such that the variables in the proposed conditions can be mode-dependent, instead of partly mode-dependent.",

keywords = "Lyapunov-Metzler inequalities, Output-feedback control, switched linear systems",

author = "Ting Yang and Xinmin Wang and Lixian Zhang",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016 ; Conference date: 11-11-2016 Through 13-11-2016",

year = "2017",

month = jan,

day = "3",

doi = "10.1109/YAC.2016.7804915",

language = "英语",

series = "Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016",

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pages = "339--343",

booktitle = "Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016",

address = "美国",

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Yang, T, Wang, X & Zhang, L 2017, Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities. in Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016., 7804915, Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 339-343, 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016, Wuhan, China, 11/11/16. https://doi.org/10.1109/YAC.2016.7804915

Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities. / Yang, Ting; Wang, Xinmin; Zhang, Lixian.
Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 339-343 7804915 (Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016).

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

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AU - Zhang, Lixian

PY - 2017/1/3

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N2 - This paper focuses on the output-feedback controller design problem for a kind of continuous-time switched linear systems. The switching rule is state-dependent and satisfies a relaxed min-switching logic. The switching rule and the switching output-feedback controller can be derived by utilizing the modified Lyapunov-Metzler inequalities and the obtained closed-loop system guarantees a prespecified gain performance. Some special techniques are employed such that the variables in the proposed conditions can be mode-dependent, instead of partly mode-dependent.

AB - This paper focuses on the output-feedback controller design problem for a kind of continuous-time switched linear systems. The switching rule is state-dependent and satisfies a relaxed min-switching logic. The switching rule and the switching output-feedback controller can be derived by utilizing the modified Lyapunov-Metzler inequalities and the obtained closed-loop system guarantees a prespecified gain performance. Some special techniques are employed such that the variables in the proposed conditions can be mode-dependent, instead of partly mode-dependent.

KW - Lyapunov-Metzler inequalities

KW - Output-feedback control

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DO - 10.1109/YAC.2016.7804915

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T3 - Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016

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BT - Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

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ER -

Yang T, Wang X, Zhang L. Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities. In Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016. Institute of Electrical and Electronics Engineers Inc. 2017. p. 339-343. 7804915. (Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016). doi: 10.1109/YAC.2016.7804915

Output-feedback control of continuous-time switched linear systems via modified Lyapunov-Metzler inequalities

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