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Conditions for input-output stability of discrete-time Luré systems with time-varying delays
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
2015 (English)In: Proc. 54th Conference on Decision and Control, Piscataway, NJ: IEEE , 2015, 7707-7714 p.Conference paper, Published paper (Refereed)
Abstract [en]

This paper derives a stability condition for a type of Lur'e systems with time-varying delays and a feedback nonlinearity. The case of discrete-time systems is considered, consisting of a LTI, fed back though a time-varying static nonlinearity. There is an additional delay before or after this nonlinearity, which delays the signals by a positive, time-varying number of steps. Either the time-delay needs to be bounded by a constant (if the LTI system contains a single integrator) or its rate need to be bounded (in case the LTI system is stable). It turns out that, if the LTI has a single integrator with non-decreasing impulse response, the derived stability criterion coincides exactly with the circle criterion for the corresponding constant delay system. The technical proofs rely on direct manipulation of the involved signals, and do not make use of traditional tools as the small gain theorem, Lyapunov functions or passivity results.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE , 2015. 7707-7714 p.
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-265851ISI: 000381554507147ISBN: 9781479978861 (print)OAI: oai:DiVA.org:uu-265851DiVA: diva2:866660
Conference
CDC 2015, December 15–18, Osaka, Japan
Projects
ProFuN
Funder
Swedish Foundation for Strategic Research , RIT08-0065
Available from: 2015-11-03 Created: 2015-11-03 Last updated: 2016-12-27Bibliographically approved

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Nygren, JohannesPelckmans, Kristiaan

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