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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.na.2005.12.014
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dc.titleOptimal persistent disturbance attenuation control for linear hybrid systems
dc.contributor.authorLin, H.
dc.contributor.authorZhai, G.
dc.contributor.authorAntsaklis, P.J.
dc.date.accessioned2014-10-07T04:34:06Z
dc.date.available2014-10-07T04:34:06Z
dc.date.issued2006-09-15
dc.identifier.citationLin, H., Zhai, G., Antsaklis, P.J. (2006-09-15). Optimal persistent disturbance attenuation control for linear hybrid systems. Nonlinear Analysis, Theory, Methods and Applications 65 (6) : 1231-1250. ScholarBank@NUS Repository. https://doi.org/10.1016/j.na.2005.12.014
dc.identifier.issn0362546X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/82839
dc.description.abstractIn this paper, the disturbance attenuation properties for a class of linear hybrid systems are investigated, and a hybrid optimal persistent disturbance attenuation control problem is studied. First, a procedure is developed to determine the minimal l∞ induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are discussed. The termination of the procedure in a finite number of steps is shown for a subclass of hybrid systems with simplified discrete event dynamics, called switched linear systems. Finally, the optimal persistent disturbance attenuation controller synthesis problem is studied. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law, and a systematic approach is proposed to design such feedback control. © 2005 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.na.2005.12.014
dc.sourceScopus
dc.subjectDisturbance attenuation
dc.subjectHybrid dynamical systems
dc.subjectInduced gain
dc.subjectInvariant sets
dc.subjectRobust performance
dc.subjectSwitched systems
dc.typeArticle
dc.contributor.departmentELECTRICAL & COMPUTER ENGINEERING
dc.description.doi10.1016/j.na.2005.12.014
dc.description.sourcetitleNonlinear Analysis, Theory, Methods and Applications
dc.description.volume65
dc.description.issue6
dc.description.page1231-1250
dc.description.codenNOAND
dc.identifier.isiut000238939700008
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