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Robust observer design for uncertain one-sided Lipschitz systems with disturbances
journal contribution
posted on 2018-03-01, 00:00 authored by Cuong Nguyen, Pubudu PathiranaPubudu Pathirana, Hieu TrinhHieu TrinhIn this paper, we study the robust observer design problem for a class of uncertain one-sided Lipschitz systems with disturbances. Not only the system matrices but also the nonlinear functions are assumed to be uncertain. The nominal models of nonlinearities are assumed to satisfy both the one-sided Lipschitz condition and the quadratically inner-bounded condition. By utilizing a novel approach, our observer designs are robust against unknown nonlinear uncertainties and system and measurement noises. The new approach also relaxes some conservativeness in related existing results, ie, less conservative observer design conditions are obtained. Furthermore, the problem of designing reduced-order observers is considered in case the output measurement is not subject to uncertainty and disturbance. Two examples are provided to show the efficiency and advantages of our results over existing works.
History
Journal
International journal of robust and nonlinear controlVolume
28Issue
4Pagination
1366 - 1380Publisher
John Wiley & SonsLocation
Chichester, Eng.Publisher DOI
ISSN
1049-8923eISSN
1099-1239Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2017, John Wiley & SonsUsage metrics
Keywords
disturbancelinear matrix inequalityone-sided Lipschitz conditionrobust observeruncertaintyScience & TechnologyTechnologyPhysical SciencesAutomation & Control SystemsEngineering, Electrical & ElectronicMathematics, AppliedEngineeringMathematicsH-INFINITY OBSERVERDISCRETE-TIME-SYSTEMSNONLINEAR-SYSTEMSSTATEDELAYORDERSUBJECTMechanical Engineering
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