Ponencia
Local exponential H2 stabilization of a 2x2 quasilinear hyperbolic system using backstepping
Autor/es | Vázquez Valenzuela, Rafael
Coron, Jean Michel Krstic, Miroslav Bastin, Georges |
Departamento | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos |
Fecha de publicación | 2011 |
Fecha de depósito | 2021-06-18 |
Publicado en |
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Resumen | We consider the problem of boundary stabilization for a quasilinear 2×2 system of first-order hyperbolic PDEs. We design a full-state feedback control law, with actuation on only one end of the domain, and prove local H 2 ... We consider the problem of boundary stabilization for a quasilinear 2×2 system of first-order hyperbolic PDEs. We design a full-state feedback control law, with actuation on only one end of the domain, and prove local H 2 exponential stability of the closed-loop system. The proof of stability is based on the construction of a strict Lyapunov function. The feedback law is found using the recently developed backstepping method for 2 × 2 system of first-order hyperbolic linear PDEs, developed by the authors in a previous work, which is briefly reviewed. |
Cita | Vázquez Valenzuela, R., Coron, J.M., Krstic, M. y Bastin, G. (2011). Local exponential H2 stabilization of a 2x2 quasilinear hyperbolic system using backstepping. En Decision and Control and European Control Conference (1329-1334), Orlando, FL: Institute of Electrical and Electronics Engineers (IEEE). |
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