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Robust disturbance suppression for nonlinear systems based on H∞ control

Su, W.; Anderson, Brian; Brinsmead, Thomas

Description

The disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H∞ disturbance suppression problem. We extend this H∞ problem to the nonlinear case, and present a method to reduce the order of the state feedback Hamilton-Jacobi PDE (Partial Differential Equation) for this nonlinear...[Show more]

dc.contributor.authorSu, W.
dc.contributor.authorAnderson, Brian
dc.contributor.authorBrinsmead, Thomas
dc.coverage.spatialSydney Australia
dc.date.accessioned2015-12-13T23:41:05Z
dc.date.available2015-12-13T23:41:05Z
dc.date.createdDecember 12 2000
dc.identifier.isbn0780366417
dc.identifier.urihttp://hdl.handle.net/1885/94738
dc.description.abstractThe disturbance suppression problem for nonlinear systems is examined in this paper. We review the so-called nonstandard mixed sensitivity problem, which introduces an integrator to a selected weight, as well as the linear classical disturbance suppression problem and the linear H∞ disturbance suppression problem. We extend this H∞ problem to the nonlinear case, and present a method to reduce the order of the state feedback Hamilton-Jacobi PDE (Partial Differential Equation) for this nonlinear H∞ problem by extending the concept of comprehensive stability [8] [7]. Finally, we investigate the structure of the output feedback H∞ controller for disturbance suppression, and draw the conclusion that, as in the linear case, there must also be an integrator in the controller.
dc.publisherCasual Productions
dc.relation.ispartofseriesIEEE Conference on Decision and Control 2000
dc.source39th IEEE Conference on Decision and Control
dc.subjectKeywords: Asymptotic stability; Control system synthesis; Feedback control; Interference suppression; Linear control systems; Nonlinear control systems; Optimal control systems; Partial differential equations; Riccati equations; Sensitivity analysis; Disturbance su
dc.titleRobust disturbance suppression for nonlinear systems based on H∞ control
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2000
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationMigratedxPub24401
local.type.statusPublished Version
local.contributor.affiliationSu, W., College of Engineering and Computer Science, ANU
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANU
local.contributor.affiliationBrinsmead, Thomas, College of Engineering and Computer Science, ANU
dc.date.updated2015-12-12T09:31:17Z
local.identifier.scopusID2-s2.0-0034439586
CollectionsANU Research Publications

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