Robust decentralized H∞ control of multi-channel systems with norm-bounded parametric uncertainties

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摘要 ArobustdecentralizedH∞controlproblemforuncertainmulti-channelsystemsisconsidered.Theuncertaintiesareassumedtobetime-invariant,norm-bounded,andexistinboththesystemandcontrolinputmatrices.Thedynamicoutputfeedbackismainlydealtwith.Anecessaryandsufficientconditionfortheuncertainmulti-channelsystemtobestabilizedrobustlywithaspecifieddisturbanceattenuationlevelisderivedbasedontheboundedreallemma,whichisreducedtoafeasibilityproblemofanonlinearmatrixinequality(NMI).Atwo-stagehomotopymethodisusedtosolvetheNMIiteratively.First,adecentralizedcontrollerforthenominalsystemwithnouncertaintyiscomputedbyimposingstructuralconstraintsonthecoefficientmatricesofthecontrollergradually.Thenthedecentralizedcontrollerismodified,againgradually,tocopewiththeuncertainties.Oneachstage,avariableisfixedalternatelyattheiterationstoreducetheNMItoalinearmatrixinequality(LMI).Agivenexampleshowstheefficiencyofthismethod.
机构地区 不详
出版日期 2007年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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