Robustness of transitions in switched linear systems
2005 (English)In: International Journal of Robust and Nonlinear Control, ISSN 1049-8923, E-ISSN 1099-1239, Vol. 15, no 7, 293-314 p.Article in journal (Refereed) Published
A robustness problem for transitions in switched linear systems is considered in this paper. The specific problem is to estimate the size of the image when a subset of an affine subspace is mapped by an uncertain system to another affine subspace. It is assumed that the system dynamics is linear and that the uncertainty and the disturbances are characterized by integral quadratic constraints (IQC). The estimates can be obtained by solving a special affinely parameterized linear quadratic optimal control problem. The results are applied to the problem of verifying robustness of oscillations in a switched linear system. In particular, sufficient conditions are given, which ensure that there remains a periodic solution when the system is perturbed by a Lipschitz continuous nonlinearity.
Place, publisher, year, edition, pages
2005. Vol. 15, no 7, 293-314 p.
reachability analysis, uncertainty, LQ control, optimization, hybrid systems, quadratic constraints, stability, verification
IdentifiersURN: urn:nbn:se:kth:diva-14689DOI: 10.1002/rnc.987ISI: 000228497300001ScopusID: 2-s2.0-17444418614OAI: oai:DiVA.org:kth-14689DiVA: diva2:332730
QC 201005252010-08-052010-08-05Bibliographically approved