Boundary feedback control of an anti-stable wave equation
| Autor: | Dominikus Noll, Pierre Apkarian |
|---|---|
| Přispěvatelé: | ONERA / DTIS, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Feedback control 0211 other engineering and technologies Boundary (topology) 02 engineering and technology [SPI]Engineering Sciences [physics] 020901 industrial engineering & automation FOS: Mathematics [INFO]Computer Science [cs] Boundary value problem 93B52 93C20 93C10 93D15 90C26 Mathematics - Optimization and Control Torsional vibrations [PHYS]Physics [physics] Physics 021103 operations research Infinite-dimensional H∞-control Boundary feedback control Applied Mathematics Mathematical analysis Large magnitude sector non-linearity Wave equation Vibration Optimization and Control (math.OC) Control and Systems Engineering Anti-damping boundary Slip-stick Closed loop |
| Zdroj: | IMA Journal of Mathematical Control and Information IMA Journal of Mathematical Control and Information, 2020, 37 (4), pp.1367-1399. ⟨10.1093/imamci/dnaa017⟩ IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2020, 37 (4), pp.1367-1399. ⟨10.1093/imamci/dnaa017⟩ |
| ISSN: | 1471-6887 0265-0754 |
| DOI: | 10.1093/imamci/dnaa017 |
| Popis: | 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 which 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. Comment: 28 pages, 11 figures, 2 tables |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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