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A stability criterion for switching Lur'e systems with switching-path restrictions
Ericsson AB, Torshamnsgatan 23, S-16483 Stockholm, Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
2018 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 96, p. 337-341Article in journal (Refereed) Published
Abstract [en]

This paper derives a stability criterion for switching Lur'e MIMO systems with time-varying nonlinearities, where switching is subject to given restrictions. These restrictions are encoded via the notion of a switching path, interpolating the criterion between the single-system case and arbitrary switching. The criterion for switching Lur'e systems is shown to boil down to a familiar LMI criterion for linear switching systems for the case the Lur'e systems have a linear feedback. The model of a switching Lur'e system is used to describe an MPC control scheme subject to loss of output readings. This example illustrates the practical and theoretical usefulness of the introduced switching path restrictions.

Place, publisher, year, edition, pages
2018. Vol. 96, p. 337-341
Keywords [en]
Switching systems, Lur'e systems, Stability, Model predictive control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:uu:diva-366955DOI: 10.1016/j.automatica.2018.06.038ISI: 000444659500035OAI: oai:DiVA.org:uu-366955DiVA, id: diva2:1266526
Funder
Swedish Research Council, 621-2007-6364Available from: 2018-11-28 Created: 2018-11-28 Last updated: 2018-11-28Bibliographically approved

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Pelckmans, Kristiaan

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