Show simple item record

dc.contributor.authorMorgül, Ömeren_US
dc.coverage.spatialLake Buena Vista, FL, USAen_US
dc.date.accessioned2016-02-08T12:01:40Z
dc.date.available2016-02-08T12:01:40Z
dc.date.issued1994en_US
dc.identifier.issn0191-2216
dc.identifier.urihttp://hdl.handle.net/11693/27783
dc.descriptionDate of Conference: 14-16 December 1994en_US
dc.descriptionConference Name: 33rd IEEE Conference on Decision and Control, IEEE 1994en_US
dc.description.abstractIn this paper we consider a system which can be modeled by (undamped) wave equation in a bounded domain. We assume that the system is fixed at one end and is controlled by a boundary controller at the other end. We also considered two damped versions of this system, both parameterized by a nonnegative damping constant. We study two problems for these models, namely the stabilization by means of a boundary controller, and the stability robustness of the closed-loop system against small time delays in the feedback loop. We propose a class of finite dimensional dynamic boundary controllers to solve these problems. One basic feature of these controllers is that the corresponding controller transfer functions are required to be strictly positive real functions. We show that these controllers stabilize both damped and undamped models and solve the stability robustness problem for the damped models. It is also shown that while strict positive realness of the controller transfer functions is important for closed-loop stability, the strict properness is important for the stability robustness against small time delays in the feedback loop.en_US
dc.language.isoEnglishen_US
dc.source.titleProceedings of the 33rd IEEE Conference on Decision and Control, IEEE 1994en_US
dc.relation.isversionofhttps://doi.org/10.1109/CDC.1994.411182en_US
dc.subjectClosed loop control systemsen_US
dc.subjectFeedback controlen_US
dc.subjectMathematical modelsen_US
dc.subjectParameter estimationen_US
dc.subjectRobustness (control systems)en_US
dc.subjectTransfer functionsen_US
dc.subjectBoundary controllersen_US
dc.subjectWave equationen_US
dc.subjectSystem stabilityen_US
dc.titleRobust stabilization of the wave equation against small delaysen_US
dc.typeConference Paperen_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.citation.spage1751en_US
dc.citation.epage1756en_US
dc.identifier.doi10.1109/CDC.1994.411182en_US
dc.publisherIEEEen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record