Dynamic equations on time-scale: Application to stability analysis and stabilization of aperiodic sampled-data systems
2011 (English)In: IFAC Proc. Vol. (IFAC-PapersOnline), 2011, no PART 1, 11374-11379 p.Conference paper (Refereed)
The stability analysis of systems with aperiodic sampling is analyzed in the framework of dynamic equations on time-scales. Lyapunov theory is used, with sample-period-dependent and independent Lyapunov functions, to obtain stability conditions expressed in terms of parameter dependent matrix inequalities. The examples illustrate the efficiency of the approach which is able to recover, for some systems, the theoretical results for the periodic sampling case even in the aperiodic case. It is also shown that some systems may have admissible varying sampling periods located in disjoint sets. Finally, stabilization results via switching statefeedback are provided; both robust and sampling-period-dependent controllers are considered. It is shown that the latter ones, using the information on the sampling period, can improve stability properties. Stabilization examples illustrate the effectiveness of the approach.
Place, publisher, year, edition, pages
2011. no PART 1, 11374-11379 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; 18
Dynamic equations on time-scales, LMIs, LPV control, Sampled-data systems, Disjoint sets, Dynamic equations, Lyapunov theories, Parameter-dependent matrix, Periodic sampling, Sampled data systems, Sampling period, Stability analysis, Stability condition, Stability properties, Theoretical result, Time-scales, Lyapunov functions, Sampled data control systems, Stabilization
IdentifiersURN: urn:nbn:se:kth:diva-150207DOI: 10.3182/20110828-6-IT-1002.01815ScopusID: 2-s2.0-84866358688ISBN: 9783902661937OAI: oai:DiVA.org:kth-150207DiVA: diva2:742970
18th IFAC World Congress, 28 August 2011 through 2 September 2011, Milano, Italy
QC 201409032014-09-032014-09-012014-10-03Bibliographically approved