Repositorio de producción científica de la Universidad de Sevilla

Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls

Opened Access Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Vázquez Valenzuela, Rafael
Krstic, Miroslav
Departamento: Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos
Fecha: 2016
Publicado en: ESAIM: Control, Optimisation and Calculus of Variations, 22 (4), 1078-1096.
Tipo de documento: Artículo
Resumen: This paper introduces an explicit output-feedback boundary feedback law that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on an n-ball (which in 2-D reduces to a disk and in 3-D reduces to a sphere) using only measurements from the boundary. The backstepping method is used to design both the control law and a boundary observer. To apply backstepping the system is reduced to an infinite sequence of 1-D systems using spherical harmonics. Well-posedness and stability are proved in the L2 and H1 spaces. The resulting control and output injection gain kernels are the product of the backstepping kernel used in control of one-dimensional reaction-diffusion equations and a function closely related to the Poisson kernel in the n-ball.
Cita: Vázquez Valenzuela, R. y Krstic, M. (2016). Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls. ESAIM: Control, Optimisation and Calculus of Variations, 22 (4), 1078-1096.
Tamaño: 234.2Kb
Formato: PDF

URI: https://hdl.handle.net/11441/69757

DOI: 10.1051/cocv/2016033

Ver versión del editor

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones