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A cutting plane algorithm for robustness analysis of periodically time-varying systems
KTH, Superseded Departments, Mathematics.
2001 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 46, no 4, 579-592 p.Article in journal (Refereed) Published
Abstract [en]

An algorithm for robustness analysis of periodic systems is derived. The system under consideration consists of a linear periodically time-varying plant in feedback interconnection with a structured uncertainty, Conditions for robust stability and robust performance can be formulated in terms of periodic integral quadratic constraints (IQCs), in this way, the robustness analysis becomes a problem of optimizing the parameters of the IQC. A cutting plane algorithm is suggested for solving this infinite-dimensional optimization problem.

Place, publisher, year, edition, pages
2001. Vol. 46, no 4, 579-592 p.
Keyword [en]
convex optimization, integral quadratic constraint, linear programming, periodic systems, robust performance, robust stability, integral quadratic constraints, sampled-data control
URN: urn:nbn:se:kth:diva-20527ISI: 000168061600006OAI: diva2:339222
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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