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Title
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On observer-based control of one-sided Lipschitz systems
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Sub-Title |
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Subject |
-
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Sub-Subject |
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Author |
S. Ahmad and M. Rehan
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Publish Year |
2015 |
Supervisor |
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Diss#. |
10.1016/j.jfranklin.2016.01.010 |
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Pages |
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Text Language |
English |
Accession |
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Library Section |
Research Article |
Abstract |
This paperdescribesthenovelobserver-basedcontrollerdesignfortheone-sidedLipschitznonlinear
systems. Anobserver-basedcontrollerdesignconditionisobtainedbyapplicationoftheLyapunovtheory,
by involvingtheone-sidedLipschitzconditionandquadraticinner-boundednesscriterion,andby
incorporating thematrixinequalityprocedures.Further,adecouplingcondition,necessaryandsufficient for
the maindesignapproach,isdevelopedtodeterminethecontrollerandobservergains.Furthermore,two
design conditions,acomputationallysimplesufficient conditionandamoregenericnecessaryandsufficient
condition, basedontheexistingandthenoveltreatmentsfortheone-sidedLipchitznonlinearityare
evaluated toobtaintheobserver-basedcontrolsolution.Analgorithmforsolvingtheproposeddesign
constraints bycombininganestedbilinear-terms-solverapproachandanonlinear-optimization-basedcone
complementary linearizationmethodisprovided.Theeffectivenessoftheproposedobserver-based
controller designfortheone-sidedLipschitznonlinearsystemsisdemonstratedusing
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