Discrete-time sliding mode control with state bounding for linear systems with time-varying delay and unmatched disturbances

That, ND; Ha, QP

Discrete-time sliding mode control with state bounding for linear systems with time-varying delay and unmatched disturbances

That, ND Ha, QP

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Publication Type:: Journal Article
Citation:: IET Control Theory and Applications, 2015, 9 (11), pp. 1700 - 1708
Issue Date:: 2015-01-01

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Field	Value	Language
dc.contributor.author	That, ND	en_US
dc.contributor.author	Ha, QP https://orcid.org/0000-0003-0978-1758	en_US
dc.date.issued	2015-01-01	en_US
dc.identifier.citation	IET Control Theory and Applications, 2015, 9 (11), pp. 1700 - 1708	en_US
dc.identifier.issn	1751-8644	en_US
dc.identifier.uri	http://hdl.handle.net/10453/36290
dc.description.abstract	© The Institution of Engineering and Technology 2015. This study is concerned with the problem of quasi-sliding mode control design for a class of discrete-time systems with time-varying delay and unmatched disturbances. On the basis of the Lyapunov-Krasovskii method, combined with the reciprocally convex approach, sufficient conditions for the existence of a stable sliding surface are first derived in terms of matrix inequalities. These conditions also guarantee that the state trajectories of the reduced-order system are exponentially convergent within a ball whose radius can be minimised to deal with the effects of time-varying delay and disturbances. A robust quasi-sliding mode control scheme is then developed to drive the system state trajectories towards that ball in a finite time and maintain them therein after subsequent time. A numerical example is given to illustrate the effectiveness of the proposed approach.	en_US
dc.relation.ispartof	IET Control Theory and Applications	en_US
dc.relation.isbasedon	10.1049/iet-cta.2014.1151	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Discrete-time sliding mode control with state bounding for linear systems with time-varying delay and unmatched disturbances	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	9	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access
pubs.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	9	en_US

Abstract:

© The Institution of Engineering and Technology 2015. This study is concerned with the problem of quasi-sliding mode control design for a class of discrete-time systems with time-varying delay and unmatched disturbances. On the basis of the Lyapunov-Krasovskii method, combined with the reciprocally convex approach, sufficient conditions for the existence of a stable sliding surface are first derived in terms of matrix inequalities. These conditions also guarantee that the state trajectories of the reduced-order system are exponentially convergent within a ball whose radius can be minimised to deal with the effects of time-varying delay and disturbances. A robust quasi-sliding mode control scheme is then developed to drive the system state trajectories towards that ball in a finite time and maintain them therein after subsequent time. A numerical example is given to illustrate the effectiveness of the proposed approach.

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http://hdl.handle.net/10453/36290