Stability and asynchronous stabilization for a class of discrete-time switched nonlinear systems with stable and unstable subsystems

Zheng, Q; Zhang, H; Zheng, D

Stability and asynchronous stabilization for a class of discrete-time switched nonlinear systems with stable and unstable subsystems

Zheng, Q Zhang, H Zheng, D

Permalink

Publication Type:: Journal Article
Citation:: International Journal of Control, Automation and Systems, 2017, 15 (3), pp. 986 - 994
Issue Date:: 2017-06-01

Closed Access

	Filename	Description	Size
	Zheng2017_Article_StabilityAndAsynchronousStabil.pdf	Published Version	354.96 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Zheng, Q	en_US
dc.contributor.author	Zhang, H	en_US
dc.contributor.author	Zheng, D https://orcid.org/0000-0001-6666-0894	en_US
dc.date.issued	2017-06-01	en_US
dc.identifier.citation	International Journal of Control, Automation and Systems, 2017, 15 (3), pp. 986 - 994	en_US
dc.identifier.issn	1598-6446	en_US
dc.identifier.uri	http://hdl.handle.net/10453/128094
dc.description.abstract	© 2017, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg. The stability analysis and asynchronous stabilization problems for a class of discrete-time switched nonlinear systems with stable and unstable subsystems are investigated in this paper. The Takagi-Sugeno (T-S) fuzzy model is used to represent each nonlinear subsystem. Through using the T-S fuzzy model, the studied systems are modeled into the switched T-S fuzzy systems. By using the switching fuzzy-basis-dependent Lyapunov functions (FLFs) approach and mode-dependent average dwell time (MDADT) technique, the stability conditions for the open-loop switched T-S fuzzy systems with unstable subsystems and asynchronous stabilization conditions for the closed-loop switched T-S fuzzy systems with unstable subsystems are obtained. Both the stability results and asynchronous stabilization results are derived in terms of linear matrix inequalities (LMIs). Finally two numerical examples are provided to illustrate the effectiveness of the results obtained.	en_US
dc.relation.ispartof	International Journal of Control, Automation and Systems	en_US
dc.relation.isbasedon	10.1007/s12555-016-0301-6	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Stability and asynchronous stabilization for a class of discrete-time switched nonlinear systems with stable and unstable subsystems	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	15	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0910 Manufacturing 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/Students
utslib.copyright.status	closed_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	15	en_US

Abstract:

© 2017, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg. The stability analysis and asynchronous stabilization problems for a class of discrete-time switched nonlinear systems with stable and unstable subsystems are investigated in this paper. The Takagi-Sugeno (T-S) fuzzy model is used to represent each nonlinear subsystem. Through using the T-S fuzzy model, the studied systems are modeled into the switched T-S fuzzy systems. By using the switching fuzzy-basis-dependent Lyapunov functions (FLFs) approach and mode-dependent average dwell time (MDADT) technique, the stability conditions for the open-loop switched T-S fuzzy systems with unstable subsystems and asynchronous stabilization conditions for the closed-loop switched T-S fuzzy systems with unstable subsystems are obtained. Both the stability results and asynchronous stabilization results are derived in terms of linear matrix inequalities (LMIs). Finally two numerical examples are provided to illustrate the effectiveness of the results obtained.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/128094