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Performance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methods

dc.contributor.authorXiang, Chengdi
dc.contributor.authorPetersen, Ian
dc.contributor.authorDong, Daoyi
dc.date.accessioned2021-08-30T00:11:08Z
dc.date.issued2017
dc.date.updated2020-11-23T10:55:52Z
dc.description.abstractThis technical note extends applications of the quantum small gain and Popov methods from existing results on robust stability to performance analysis results for a class of uncertain quantum systems. This class of systems involves a nominal linear quantum system and is subject to quadratic perturbations in the system Hamiltonian. Based on these two methods, coherent guaranteed cost controllers are designed for a given quantum system to achieve improved control performance. An illustrative example also shows that the quantum Popov approach can obtain less conservative results than the quantum small gain approach for the same uncertain quantum system.en_AU
dc.description.sponsorshipThis work was supported by the Australian Research Council (DP130101658, FL110100020)en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0018-9286en_AU
dc.identifier.urihttp://hdl.handle.net/1885/245910
dc.language.isoen_AUen_AU
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP130101658en_AU
dc.relationhttp://purl.org/au-research/grants/arc/FL110100020en_AU
dc.rights© 2016 IEEE.en_AU
dc.sourceIEEE Transactions on Automatic Controlen_AU
dc.subjectCoherent controlen_AU
dc.subjectguaranteed cost controlen_AU
dc.subjectperformance analysisen_AU
dc.subjectPopov methoden_AU
dc.subjectsmall gain theoremen_AU
dc.subjectuncertain quantum systemsen_AU
dc.titlePerformance Analysis and Coherent Guaranteed Cost Control for Uncertain Quantum Systems Using Small Gain and Popov Methodsen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue3en_AU
local.bibliographicCitation.lastpage1529en_AU
local.bibliographicCitation.startpage1524en_AU
local.contributor.affiliationXiang, Chengdi, University of New South Wales, Canberraen_AU
local.contributor.affiliationPetersen, Ian, College of Engineering and Computer Science, ANUen_AU
local.contributor.affiliationDong, Daoyi, University of New South Walesen_AU
local.contributor.authoruidPetersen, Ian, u4036493en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor090602 - Control Systems, Robotics and Automationen_AU
local.identifier.absseo970109 - Expanding Knowledge in Engineeringen_AU
local.identifier.ariespublicationu5357342xPUB326en_AU
local.identifier.citationvolume62en_AU
local.identifier.doi10.1109/TAC.2016.2587383en_AU
local.identifier.scopusID2-s2.0-85015074803
local.identifier.thomsonID000395924300046
local.publisher.urlhttps://www.ieee.org/en_AU
local.type.statusAccepted Versionen_AU

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