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Title
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Observer-based robust control of one-sided Lipschitz nonlinear systems
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Sub-Title |
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Subject |
Observer-basedcontrol; One-sided Lipschitznonlinearity; Quadratic inner-boundedness; Parametricuncertainty; L2 gain
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Sub-Subject |
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Author |
S. Ahmad, M. Rehan and K.-S. Hong
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Publish Year |
2016 |
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Supervisor |
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Diss#. |
10.1016/j.isatra.2016.08.010 |
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Pages |
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Text Language |
English |
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Accession |
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Library Section |
Research Article |
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Abstract |
This paperpresentsanobserver-basedcontrollerdesignfortheclassofnonlinearsystemswithtime-
varyingparametricuncertaintiesandnorm-boundeddisturbances.Thedesignmethodology,fortheless
conservativeone-sidedLipschitznonlinearsystems,involvesastuteutilizationofYoung’s inequalityand
severalmatrixdecompositions.Asufficient conditionforsimultaneousextractionofobserverandcon-
troller gainsisstipulatedbyanumericallytractablesetofconvexoptimizationconditions.Thecon-
straints arehandledbyanonlineariterativecone-complementarylinearizationmethodinobtaininggain
matrices. Further,anobserver-basedcontroltechniqueforone-sidedLipschitznonlinearsystems,robust
against L2-norm-bounded perturbations,iscontrived.Theproposedmethodologyensuresrobustness
against parametricuncertaintiesandexternalperturbations.Simulationexamplesdemonstratingthe
effectivenessoftheproposedmethodologiesarepresented.
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