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Optimal control with stabilization for a class of hybrid dynamical systems

Liu, Bin; Hill, David; Dou, C.X.

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This paper studies the optimal control with stabilization issue for a class of hybrid dynamical systems (HDS) with hybrid performance functional (HPF). By employing Lyapunov function method and the recent results of stability of HDS, the optimal control conditions for the HDS has been derived with respect to the HPF. Under the state feedback control, the closed-loop HDS is globally asymptotically stable (GAS) and at the same time the HPF can achieve the desirable maximal (minimal) value. The...[Show more]

dc.contributor.authorLiu, Bin
dc.contributor.authorHill, David
dc.contributor.authorDou, C.X.
dc.coverage.spatialTaiyuan China
dc.date.accessioned2015-12-10T23:32:54Z
dc.date.createdMay 23-25 2012
dc.identifier.isbn9781457720727
dc.identifier.urihttp://hdl.handle.net/1885/69042
dc.description.abstractThis paper studies the optimal control with stabilization issue for a class of hybrid dynamical systems (HDS) with hybrid performance functional (HPF). By employing Lyapunov function method and the recent results of stability of HDS, the optimal control conditions for the HDS has been derived with respect to the HPF. Under the state feedback control, the closed-loop HDS is globally asymptotically stable (GAS) and at the same time the HPF can achieve the desirable maximal (minimal) value. The results are then used to study the case of linear HDS with hybrid quadratic performance functional (HQPF). The matrix inequality conditions are derived to design the linear feedback controller under which the closed-loop linear HDS is GAS and the HQPF is optimized. Finally, one example is given for illustration.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesChinese Control and Decision Conference (CCDC 2012)
dc.sourceProceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012
dc.subjectKeywords: Closed-loop; Global asymptotic stability; Globally asymptotically stable; HDS; Hybrid dynamical systems; hybrid performance functional (HPF); Linear feedback controllers; Lyapunov function method; Matrix inequality; Optimal controls; Feedback control; Lya global asymptotic stability (GAS); HDS; hybrid performance functional (HPF); Optimal control
dc.titleOptimal control with stabilization for a class of hybrid dynamical systems
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2012
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationf5625xPUB1902
local.type.statusPublished Version
local.contributor.affiliationLiu, Bin, College of Engineering and Computer Science, ANU
local.contributor.affiliationHill, David, University of Sydney
local.contributor.affiliationDou, C.X., Yanshan University
local.description.embargo2037-12-31
local.bibliographicCitation.startpage614
local.bibliographicCitation.lastpage619
local.identifier.doi10.1109/CCDC.2012.6242978
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2016-02-24T08:51:46Z
local.identifier.scopusID2-s2.0-84866677222
CollectionsANU Research Publications

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