Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback

Xu Zhang; Wei Lin

doi:10.1109/CDC.2018.8619833

Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback

Xu Zhang
, Wei Lin^*

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Dongguan University of Technology

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

6 Scopus citations

Abstract

We prove that global robust stabilization is possible by output feedback for a class of nonlinear systems with measurement sensitivity characterized by an unknown time-varying parameter. The nonlinear systems under consideration are assumed to satisfy a linear growth condition with a polynomial output-dependent rate, and thus cover a larger class of uncertain systems than the previous ones studied in [15], [2]. To deal with effectively the polynomial nonlinearity and the measurement sensitivity, we propose an estimator with a high-gain that needs to be updated dynamically. Then, an estimator-based controller is constructed step-by-step, achieving global state regulation of the resulting closed-loop system.

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	4674-4679
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619833
State	Published - 2 Jul 2018
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.2018.8619833

Cite this

Zhang, X., & Lin, W. (2018). Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 4674-4679). Article 8619833 (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.2018.8619833

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title = "Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback",

abstract = "We prove that global robust stabilization is possible by output feedback for a class of nonlinear systems with measurement sensitivity characterized by an unknown time-varying parameter. The nonlinear systems under consideration are assumed to satisfy a linear growth condition with a polynomial output-dependent rate, and thus cover a larger class of uncertain systems than the previous ones studied in [15], [2]. To deal with effectively the polynomial nonlinearity and the measurement sensitivity, we propose an estimator with a high-gain that needs to be updated dynamically. Then, an estimator-based controller is constructed step-by-step, achieving global state regulation of the resulting closed-loop system.",

author = "Xu Zhang and Wei Lin",

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.2018.8619833",

language = "英语",

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

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4674--4679",

booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",

address = "美国",

}

Zhang, X & Lin, W 2018, Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619833, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 4674-4679, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. https://doi.org/10.1109/CDC.2018.8619833

Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback. / Zhang, Xu; Lin, Wei.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4674-4679 8619833 (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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N2 - We prove that global robust stabilization is possible by output feedback for a class of nonlinear systems with measurement sensitivity characterized by an unknown time-varying parameter. The nonlinear systems under consideration are assumed to satisfy a linear growth condition with a polynomial output-dependent rate, and thus cover a larger class of uncertain systems than the previous ones studied in [15], [2]. To deal with effectively the polynomial nonlinearity and the measurement sensitivity, we propose an estimator with a high-gain that needs to be updated dynamically. Then, an estimator-based controller is constructed step-by-step, achieving global state regulation of the resulting closed-loop system.

AB - We prove that global robust stabilization is possible by output feedback for a class of nonlinear systems with measurement sensitivity characterized by an unknown time-varying parameter. The nonlinear systems under consideration are assumed to satisfy a linear growth condition with a polynomial output-dependent rate, and thus cover a larger class of uncertain systems than the previous ones studied in [15], [2]. To deal with effectively the polynomial nonlinearity and the measurement sensitivity, we propose an estimator with a high-gain that needs to be updated dynamically. Then, an estimator-based controller is constructed step-by-step, achieving global state regulation of the resulting closed-loop system.

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T3 - Proceedings of the IEEE Conference on Decision and Control

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T2 - 57th IEEE Conference on Decision and Control, CDC 2018

Y2 - 17 December 2018 through 19 December 2018

ER -

Robust Stabilization of Uncertain Systems with Measurement Sensitivity Using Output Feedback

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