A cutting plane algorithm for robustness analysis of periodically time-varying systems
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
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.
convex optimization, integral quadratic constraint, linear programming, periodic systems, robust performance, robust stability, integral quadratic constraints, sampled-data control
IdentifiersURN: urn:nbn:se:kth:diva-20527ISI: 000168061600006OAI: oai:DiVA.org:kth-20527DiVA: diva2:339222
QC 201005252010-08-102010-08-10Bibliographically approved