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Robust stability properties of the v-gap metric for time-varying systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2011 (English)In: Proc IEEE Conf Decis Control, 2011, 2028-2033 p.Conference paper (Refereed)
Abstract [en]

The stability of uncertain feedback interconnections of causal time-varying linear systems is studied in terms of a recently established generalisation of the v-gap metric. In particular, a number of robustness results from the well-known linear time-invariant theory are extended. The time-varying generalisations include: sufficient conditions for robust stability; a bound on robust performance; and two-sided bounds on the induced norm of the variation in a closed-loop mapping as an open-loop component of the feedback interconnection is perturbed. Underlying assumptions are verified for causal systems that exhibit linear periodically time-varying behaviour. This includes a class of sampled-data systems as a special case. Within the periodic context considered, it can be shown that a robust stability condition is also necessary.

Place, publisher, year, edition, pages
2011. 2028-2033 p.
, Proceedings of the IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Feedback, periodic systems, robust stability, time-varying systems, v-gap metric, Causal systems, Closed-loop, Feedback interconnection, Generalisation, Induced norms, Linear time-invariant, Open loops, Periodically time-varying, Robust performance, Robust stability conditions, Sampled data systems, Sufficient conditions, Time varying, Time varying linear systems, Linear systems, Sampled data control systems, Stability, Time varying systems, Robustness (control systems)
National Category
Computer Vision and Robotics (Autonomous Systems)
URN: urn:nbn:se:kth:diva-149889DOI: 10.1109/CDC.2011.6161042ScopusID: 2-s2.0-84860657465ISBN: 9781612848006OAI: diva2:743486
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, 12 December 2011 through 15 December 2011, Orlando, FL

QC 20140904

Available from: 2014-09-04 Created: 2014-08-28 Last updated: 2014-09-04Bibliographically approved

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