Artículo
Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls
Autor/es | Vázquez Valenzuela, Rafael
Krstic, Miroslav |
Departamento | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos |
Fecha de publicación | 2016 |
Fecha de depósito | 2018-01-30 |
Publicado en |
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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 ... 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. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | MTM2015-65608-P |
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. |
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