Boundary feedback control of an anti-stable wave equation
Abstract We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control t...
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| Veröffentlicht in: | IMA journal of mathematical control and information 2020-12, Vol.37 (4), p.1367-1399 |
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| container_end_page | 1399 |
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| container_issue | 4 |
| container_start_page | 1367 |
| container_title | IMA journal of mathematical control and information |
| container_volume | 37 |
| creator | APKARIAN, Pierre NOLL, Dominikus |
| description | Abstract
We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick. |
| doi_str_mv | 10.1093/imamci/dnaa017 |
| format | Article |
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We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.</description><identifier>ISSN: 0265-0754</identifier><identifier>EISSN: 1471-6887</identifier><identifier>DOI: 10.1093/imamci/dnaa017</identifier><language>eng</language><publisher>Oxford University Press</publisher><subject>Computer Science ; Engineering Sciences ; Physics</subject><ispartof>IMA journal of mathematical control and information, 2020-12, Vol.37 (4), p.1367-1399</ispartof><rights>The Author(s) 2018. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. 2020</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c347t-5156de771199fa252855b2afed072a11f87c6bea28adcf1c305e5370f208aa03</citedby><cites>FETCH-LOGICAL-c347t-5156de771199fa252855b2afed072a11f87c6bea28adcf1c305e5370f208aa03</cites><orcidid>0000-0002-8638-2438 ; 0000-0003-1122-9153</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,314,776,780,881,1578,27901,27902</link.rule.ids><backlink>$$Uhttps://hal.science/hal-03188075$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>APKARIAN, Pierre</creatorcontrib><creatorcontrib>NOLL, Dominikus</creatorcontrib><title>Boundary feedback control of an anti-stable wave equation</title><title>IMA journal of mathematical control and information</title><description>Abstract
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| identifier | ISSN: 0265-0754 |
| ispartof | IMA journal of mathematical control and information, 2020-12, Vol.37 (4), p.1367-1399 |
| issn | 0265-0754 1471-6887 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_03188075v1 |
| source | Oxford University Press Journals All Titles (1996-Current) |
| subjects | Computer Science Engineering Sciences Physics |
| title | Boundary feedback control of an anti-stable wave equation |
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