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Minimum dwell time for stability and stabilization of switched linear systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2008 (English)In: Proc. World Congr. Intelligent Control Autom. WCICA, 2008, 4103-4108 p.Conference paper (Refereed)
Abstract [en]

In this paper, the problem of minimum dwell time for the stability and stabilization of switched linear systems is considered. First, using the method of multiple Lyapunov functions, we obtain an estimate for the minimum dwell time(MDT), which assures the exponential stability of switched linear systems. Using the stability result obtained for free system, we then investigate the problem of MDT for stabilization of switched linear control system subject to input constraints. Under certain conditions the exponential stabilization can be achieved by using controls with restricted amplitudes as long as the switching laws satisfy the MDT time requirement. An illustrative example is presented to show the validity of the results.

Place, publisher, year, edition, pages
2008. 4103-4108 p.
, Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Keyword [en]
Dwell time, Input constraints, Multiple Lyapunov functions, Control system stability, Differential equations, Industrial engineering, Intelligent control, Linear control systems, Linear systems, Lyapunov functions, Switching systems, System stability, Control and automation, Exponential stability, Exponential stabilization, Switched linear control, Switched linear systems, Switching laws, Stabilization
National Category
Robotics Computer Science
URN: urn:nbn:se:kth:diva-154327DOI: 10.1109/WCICA.2008.4593583ISI: 000259965703079ScopusID: 2-s2.0-52149097568ISBN: 9781424421145OAI: diva2:756803
7th World Congress on Intelligent Control and Automation, WCICA'08, 25 June 2008 through 27 June 2008, Chongqing

QC 20141020

Available from: 2014-10-20 Created: 2014-10-17 Last updated: 2014-10-20Bibliographically approved

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Hu, Xiaoming
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