A parameter-dependent Lyapunov function based design approach for gain-scheduled H∞ filters of LPV systems

Shaosheng Zhou; Baoyong Zhang; Wei Xing Zheng

doi:10.1109/CDC.2007.4434144

A parameter-dependent Lyapunov function based design approach for gain-scheduled H_∞ filters of LPV systems

Shaosheng Zhou
, Baoyong Zhang
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Hangzhou Dianzi University
Nanjing University of Science and Technology

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

In this paper we study the problem of designing gain-scheduled H _∞ filters for a class of parameter-varying discrete-time systems. We utilize a parameter-dependent Lyapunov function to establish a new characterization of asymptotic stability with H_∞ norm bound for the linear parameter-varying (LPV) systems. On the basis of the stability with H_∞ performance characterization established, we provide sufficient conditions for the solvability of the filter design problem by means of a finite number of linear matrix inequalities (LMIs). Then we show that solving a set of LMIs paves the way for designing a desired gain-scheduled H_∞ filter. We also use a numerical example to demonstrate the application of the presented filter design method.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5539-5544
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434144
Publication status	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

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

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Access to Document

10.1109/CDC.2007.4434144

Cite this

Zhou, S., Zhang, B., & Zheng, W. X. (2007). A parameter-dependent Lyapunov function based design approach for gain-scheduled H_∞ filters of LPV systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 5539-5544). Article 4434144 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434144

Zhou, Shaosheng ; Zhang, Baoyong ; Zheng, Wei Xing. / A parameter-dependent Lyapunov function based design approach for gain-scheduled H_∞ filters of LPV systems. Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. pp. 5539-5544 (Proceedings of the IEEE Conference on Decision and Control).

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title = "A parameter-dependent Lyapunov function based design approach for gain-scheduled H∞ filters of LPV systems",

abstract = "In this paper we study the problem of designing gain-scheduled H ∞ filters for a class of parameter-varying discrete-time systems. We utilize a parameter-dependent Lyapunov function to establish a new characterization of asymptotic stability with H∞ norm bound for the linear parameter-varying (LPV) systems. On the basis of the stability with H∞ performance characterization established, we provide sufficient conditions for the solvability of the filter design problem by means of a finite number of linear matrix inequalities (LMIs). Then we show that solving a set of LMIs paves the way for designing a desired gain-scheduled H∞ filter. We also use a numerical example to demonstrate the application of the presented filter design method.",

author = "Shaosheng Zhou and Baoyong Zhang and Zheng, \{Wei Xing\}",

year = "2007",

doi = "10.1109/CDC.2007.4434144",

language = "English",

isbn = "1424414989",

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

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

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note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

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Zhou, S, Zhang, B & Zheng, WX 2007, A parameter-dependent Lyapunov function based design approach for gain-scheduled H_∞ filters of LPV systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434144, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5539-5544, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434144

A parameter-dependent Lyapunov function based design approach for gain-scheduled H_∞ filters of LPV systems. / Zhou, Shaosheng; Zhang, Baoyong; Zheng, Wei Xing.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 5539-5544 4434144 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

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N2 - In this paper we study the problem of designing gain-scheduled H ∞ filters for a class of parameter-varying discrete-time systems. We utilize a parameter-dependent Lyapunov function to establish a new characterization of asymptotic stability with H∞ norm bound for the linear parameter-varying (LPV) systems. On the basis of the stability with H∞ performance characterization established, we provide sufficient conditions for the solvability of the filter design problem by means of a finite number of linear matrix inequalities (LMIs). Then we show that solving a set of LMIs paves the way for designing a desired gain-scheduled H∞ filter. We also use a numerical example to demonstrate the application of the presented filter design method.

AB - In this paper we study the problem of designing gain-scheduled H ∞ filters for a class of parameter-varying discrete-time systems. We utilize a parameter-dependent Lyapunov function to establish a new characterization of asymptotic stability with H∞ norm bound for the linear parameter-varying (LPV) systems. On the basis of the stability with H∞ performance characterization established, we provide sufficient conditions for the solvability of the filter design problem by means of a finite number of linear matrix inequalities (LMIs). Then we show that solving a set of LMIs paves the way for designing a desired gain-scheduled H∞ filter. We also use a numerical example to demonstrate the application of the presented filter design method.

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Zhou S, Zhang B, Zheng WX. A parameter-dependent Lyapunov function based design approach for gain-scheduled H_∞ filters of LPV systems. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc. 2007. p. 5539-5544. 4434144. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2007.4434144