Ponencia
Backstepping-Based Exponential Stabilization of Timoshenko Beam with Prescribed Decay Rate
Autor/es | Chen, Guangwei
Vázquez Valenzuela, Rafael Krstic, Miroslav |
Departamento | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos |
Fecha de publicación | 2022 |
Fecha de depósito | 2023-03-22 |
Publicado en |
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ISBN/ISSN | 2405-8963 |
Resumen | In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce a transformation to map the Timoshenko ... In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce a transformation to map the Timoshenko beam states into a (2+2) × (2+2) hyperbolic PIDE-ODE system. Then backstepping is applied to obtain a control law guaranteeing closed-loop stability of the origin in the H1 sense. Arbitrarily rapid stabilization can be achieved by adjusting control parameters. Finally, a numerical simulation shows that the proposed controller can rapidly stabilize the Timoshenko beam. This result extends a previous work which considered a slender Timoshenko beam with Kelvin-Voigt damping, allowing destabilizing boundary conditions at the uncontrolled boundary and attaining an arbitrarily rapid convergence rate. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Agencia Estatal de Investigación. España |
Identificador del proyecto | PGC2018-100680-B-C21
10.13039/501100011033 |
Cita | Chen, G., Vázquez Valenzuela, R. y Krstic, M. (2022). Backstepping-Based Exponential Stabilization of Timoshenko Beam with Prescribed Decay Rate. En 4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2022, IFAC-PapersOnLine, 55 (26) (162-167) |
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