Robust stability of uncertain linear systems with time-varying delay and non-linear perturbations

Jiqing Qiu; Jinhui Zhang; Peng Shi

doi:10.1243/09596518JSCE217

Robust stability of uncertain linear systems with time-varying delay and non-linear perturbations

Jiqing Qiu
, Jinhui Zhang
, Peng Shi^*

^*Corresponding author for this work

Hebei University of Science and Technology
University of South Wales

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

28 Citations (Scopus)

Abstract

In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.

Original language	English
Pages (from-to)	411-416
Number of pages	6
Journal	Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Volume	220
Issue number	5
DOIs	https://doi.org/10.1243/09596518JSCE217
Publication status	Published - 2006
Externally published	Yes

Keywords

Linear matrix inequalities
Non-linear perturbations
Norm-bounded uncertainty
Robust stability
Time-varying delay

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10.1243/09596518JSCE217

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abstract = "In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.",

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T1 - Robust stability of uncertain linear systems with time-varying delay and non-linear perturbations

AU - Qiu, Jiqing

AU - Zhang, Jinhui

AU - Shi, Peng

PY - 2006

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N2 - In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.

AB - In this paper, the problem of robust stability for uncertain linear systems with time-varying delay and non-linear perturbations is investigated. The systems possess both nonlinear perturbations and norm-bounded uncertainties. Based on the Lyapunov-Krasovskii functional approach and S procedure, a new delay-dependent stability criterion is presented, which is in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques.

KW - Linear matrix inequalities

KW - Non-linear perturbations

KW - Norm-bounded uncertainty

KW - Robust stability

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/34247140568

U2 - 10.1243/09596518JSCE217

DO - 10.1243/09596518JSCE217

M3 - Article

AN - SCOPUS:34247140568

SN - 0959-6518

VL - 220

SP - 411

EP - 416

JO - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

JF - Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

IS - 5

ER -

Robust stability of uncertain linear systems with time-varying delay and non-linear perturbations

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Keywords

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