Robust passivity analysis of delayed singular systems subject to parametric uncertainties

Ligang Wu; Wei Xing Zheng

Robust passivity analysis of delayed singular systems subject to parametric uncertainties

Ligang Wu, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper

2 Citations (Scopus)

Abstract

This paper is concerned with robust passivity analysis of a class of uncertain nonlinear singular time-delay systems as well as with passivity-based sliding mode control of such systems. First we derive a delay-dependent sufficient condition expressed by means of linear matrix inequalities for achieving the generalized quadratic stability and robust passivity of the sliding mode dynamics. Then we show that the system's trajectories can be driven onto the pre-defined switching surface in a finite through synthesis of a sliding mode control law. Finally we present a numerical example that demonstrates the applicability of the derived theoretical results.

Original language	English
Title of host publication	2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009
Publisher	I.E.E.E. Press
Pages	2890-2893
Number of pages	4
ISBN (Print)	9781424438280
Publication status	Published - 2009
Event	IEEE International Symposium on Circuits and Systems - Duration: 20 May 2012 → …

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	20/05/12 → …

Keywords

parametric instabilities
time delay systems

Cite this

Wu, L., & Zheng, W. X. (2009). Robust passivity analysis of delayed singular systems subject to parametric uncertainties. In 2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009 (pp. 2890-2893). I.E.E.E. Press.

Wu, Ligang ; Zheng, Wei Xing. / Robust passivity analysis of delayed singular systems subject to parametric uncertainties. 2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009. I.E.E.E. Press, 2009. pp. 2890-2893

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title = "Robust passivity analysis of delayed singular systems subject to parametric uncertainties",

abstract = "This paper is concerned with robust passivity analysis of a class of uncertain nonlinear singular time-delay systems as well as with passivity-based sliding mode control of such systems. First we derive a delay-dependent sufficient condition expressed by means of linear matrix inequalities for achieving the generalized quadratic stability and robust passivity of the sliding mode dynamics. Then we show that the system's trajectories can be driven onto the pre-defined switching surface in a finite through synthesis of a sliding mode control law. Finally we present a numerical example that demonstrates the applicability of the derived theoretical results.",

keywords = "parametric instabilities, time delay systems",

author = "Ligang Wu and Zheng, {Wei Xing}",

year = "2009",

language = "English",

isbn = "9781424438280",

pages = "2890--2893",

booktitle = "2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009",

publisher = "I.E.E.E. Press",

note = "IEEE International Symposium on Circuits and Systems ; Conference date: 20-05-2012",

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Wu, L & Zheng, WX 2009, Robust passivity analysis of delayed singular systems subject to parametric uncertainties. in 2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009. I.E.E.E. Press, pp. 2890-2893, IEEE International Symposium on Circuits and Systems, 20/05/12.

Robust passivity analysis of delayed singular systems subject to parametric uncertainties. / Wu, Ligang; Zheng, Wei Xing.
2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009. I.E.E.E. Press, 2009. p. 2890-2893.

Research output: Chapter in Book / Conference Paper › Conference Paper

TY - GEN

T1 - Robust passivity analysis of delayed singular systems subject to parametric uncertainties

AU - Wu, Ligang

AU - Zheng, Wei Xing

PY - 2009

Y1 - 2009

N2 - This paper is concerned with robust passivity analysis of a class of uncertain nonlinear singular time-delay systems as well as with passivity-based sliding mode control of such systems. First we derive a delay-dependent sufficient condition expressed by means of linear matrix inequalities for achieving the generalized quadratic stability and robust passivity of the sliding mode dynamics. Then we show that the system's trajectories can be driven onto the pre-defined switching surface in a finite through synthesis of a sliding mode control law. Finally we present a numerical example that demonstrates the applicability of the derived theoretical results.

AB - This paper is concerned with robust passivity analysis of a class of uncertain nonlinear singular time-delay systems as well as with passivity-based sliding mode control of such systems. First we derive a delay-dependent sufficient condition expressed by means of linear matrix inequalities for achieving the generalized quadratic stability and robust passivity of the sliding mode dynamics. Then we show that the system's trajectories can be driven onto the pre-defined switching surface in a finite through synthesis of a sliding mode control law. Finally we present a numerical example that demonstrates the applicability of the derived theoretical results.

KW - parametric instabilities

KW - time delay systems

UR - http://handle.uws.edu.au:8081/1959.7/504424

M3 - Conference Paper

SN - 9781424438280

SP - 2890

EP - 2893

BT - 2009 IEEE International Symposium on Circuits and Systems : Circuits and Systems for Human Centric Smart Living Technologies, Conference Program, Taipei International Convention Center, Taipei, Taiwan, May 24-May 27, 2009

PB - I.E.E.E. Press

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 20 May 2012

ER -

Robust passivity analysis of delayed singular systems subject to parametric uncertainties

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