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Memory-resilient gain-scheduled state-feedback control of uncertain LTI/LPV systems with time-varying delays
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
GIPSA-Lab, Department of Control Systems (Former LAG), Grenoble Universités.
IRCCyN - Centrale de Nantes.
2010 (English)In: Systems & control letters (Print), ISSN 0167-6911, E-ISSN 1872-7956, Vol. 59, no 8, 451-459 p.Article in journal (Refereed) Published
Abstract [en]

The stabilization of uncertain LTI/LPV time-delay systems with time-varying delays by state-feedback controllers is addressed. Compared to other works in the literature, the proposed approach allows for the synthesis of resilient controllers with respect to uncertainties on the implemented delay. It is emphasized that such controllers unify memoryless and exact-memory controllers usually considered in the literature. The solutions to the stability and stabilization problems are expressed in terms of LMIs which allow us to check the stability of the closed-loop system for a given bound on the knowledge error and even optimize the uncertainty radius under some performance constraints; in this paper, the H-infinity performance measure is considered. The interest of the approach is finally illustrated through several examples.

Place, publisher, year, edition, pages
2010. Vol. 59, no 8, 451-459 p.
Keyword [en]
Time-delay systems, Controller delay-resilience, Linear parameter varying systems, Robust LMIs, Relaxation
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-26715DOI: 10.1016/j.sysconle.2010.06.004ISI: 000281421700002ScopusID: 2-s2.0-77955658746OAI: diva2:372663
QC 20101126Available from: 2010-11-26 Created: 2010-11-26 Last updated: 2010-11-26Bibliographically approved

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