A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin

Hao Luo; Tianyu Liu; Shen Yin

doi:10.1109/CDC.2018.8619151

A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin

Hao Luo^*
, Tianyu Liu
, Shen Yin

^*Corresponding author for this work

School of Astronautics, Harbin Institute of Technology

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

Abstract

The stability margin and the gap metric are powerful tools for closed-loop robust stability analysis in control system designs. In order to develop a data-driven framework for the real-time evaluation of the closed-loop stability, this paper presents a study on data-driven estimation of the closed-loop stability margin using time domain measurements. The core of the study is to find an estimation of the multiplication operator of the closed-loop transfer function matrices, where a data-driven stable image representation (SIR) of the system is identified using closed-loop data sets based on the orthogonal projection technique. The contributions of this paper efficiently bridge the gap between robustness analysis/design and data-driven techniques for the future research. The main results of this paper are verified and demonstrated through randomly generated systems and designed closed-loops.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	674-679
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619151
State	Published - 2 Jul 2018
Externally published	Yes
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country/Territory	United States
City	Miami
Period	17/12/18 → 19/12/18

Access to Document

10.1109/CDC.2018.8619151

Cite this

Luo, H., Liu, T., & Yin, S. (2018). A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 674-679). Article 8619151 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619151

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title = "A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin",

abstract = "The stability margin and the gap metric are powerful tools for closed-loop robust stability analysis in control system designs. In order to develop a data-driven framework for the real-time evaluation of the closed-loop stability, this paper presents a study on data-driven estimation of the closed-loop stability margin using time domain measurements. The core of the study is to find an estimation of the multiplication operator of the closed-loop transfer function matrices, where a data-driven stable image representation (SIR) of the system is identified using closed-loop data sets based on the orthogonal projection technique. The contributions of this paper efficiently bridge the gap between robustness analysis/design and data-driven techniques for the future research. The main results of this paper are verified and demonstrated through randomly generated systems and designed closed-loops.",

author = "Hao Luo and Tianyu Liu and Shen Yin",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

year = "2018",

month = jul,

day = "2",

doi = "10.1109/CDC.2018.8619151",

language = "英语",

series = "Proceedings of the IEEE Conference on Decision and Control",

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Luo, H, Liu, T & Yin, S 2018, A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619151, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 674-679, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. https://doi.org/10.1109/CDC.2018.8619151

A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin. / Luo, Hao; Liu, Tianyu; Yin, Shen.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 674-679 8619151 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

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

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AU - Yin, Shen

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N2 - The stability margin and the gap metric are powerful tools for closed-loop robust stability analysis in control system designs. In order to develop a data-driven framework for the real-time evaluation of the closed-loop stability, this paper presents a study on data-driven estimation of the closed-loop stability margin using time domain measurements. The core of the study is to find an estimation of the multiplication operator of the closed-loop transfer function matrices, where a data-driven stable image representation (SIR) of the system is identified using closed-loop data sets based on the orthogonal projection technique. The contributions of this paper efficiently bridge the gap between robustness analysis/design and data-driven techniques for the future research. The main results of this paper are verified and demonstrated through randomly generated systems and designed closed-loops.

AB - The stability margin and the gap metric are powerful tools for closed-loop robust stability analysis in control system designs. In order to develop a data-driven framework for the real-time evaluation of the closed-loop stability, this paper presents a study on data-driven estimation of the closed-loop stability margin using time domain measurements. The core of the study is to find an estimation of the multiplication operator of the closed-loop transfer function matrices, where a data-driven stable image representation (SIR) of the system is identified using closed-loop data sets based on the orthogonal projection technique. The contributions of this paper efficiently bridge the gap between robustness analysis/design and data-driven techniques for the future research. The main results of this paper are verified and demonstrated through randomly generated systems and designed closed-loops.

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A Time Domain Data-Driven Approach for the Estimation of Closed-Loop Stability Margin

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