Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays

Shun Wang; Tiange Shi; Lixian Zhang; Ajay Jasra; Ming Zeng

doi:10.1016/j.neucom.2014.10.047

Extended finite-time H_∞ control for uncertain switched linear neutral systems with time-varying delays

Shun Wang
, Tiange Shi
, Lixian Zhang^*
, Ajay Jasra
, Ming Zeng

^*Corresponding author for this work

School of Astronautics

School of Astronautics, Harbin Institute of Technology
National University of Singapore
King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

This paper is concerned with the finite-time H_∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H_∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.

Original language	English
Pages (from-to)	377-387
Number of pages	11
Journal	Neurocomputing
Volume	152
DOIs	https://doi.org/10.1016/j.neucom.2014.10.047
State	Published - 25 Mar 2015

Keywords

Finite-time H control
Finite-time boundedness (stability)
Stable and unstable subsystems
Switched neutral systems
Time-varying delays

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10.1016/j.neucom.2014.10.047

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title = "Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays",

abstract = "This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.",

keywords = "Finite-time H control, Finite-time boundedness (stability), Stable and unstable subsystems, Switched neutral systems, Time-varying delays",

author = "Shun Wang and Tiange Shi and Lixian Zhang and Ajay Jasra and Ming Zeng",

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AU - Wang, Shun

AU - Shi, Tiange

AU - Zhang, Lixian

AU - Jasra, Ajay

AU - Zeng, Ming

PY - 2015/3/25

Y1 - 2015/3/25

N2 - This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.

AB - This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov-Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.

KW - Finite-time H control

KW - Finite-time boundedness (stability)

KW - Stable and unstable subsystems

KW - Switched neutral systems

KW - Time-varying delays

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DO - 10.1016/j.neucom.2014.10.047

M3 - 文章

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SN - 0925-2312

VL - 152

SP - 377

EP - 387

JO - Neurocomputing

JF - Neurocomputing

ER -

Extended finite-time H_∞ control for uncertain switched linear neutral systems with time-varying delays

Abstract

Keywords

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