Title :
Stabilization of a linear hyperbolic system with one boundary controlled transport PDE coupled with n counterconvecting PDEs
Author :
Di Meglio, F. ; Vazquez, Rafael ; Krstic, Miroslav
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, La Jolla, CA, USA
Abstract :
We propose a full-state feedback law to stabilize linear first-order hyperbolic systems featuring n positive and one negative transport speeds on a finite space domain. Only one state, corresponding to the negative velocity, is actuated at the right boundary. The proposed controller guarantees convergence of the whole (n + 1)-state system to zero in the L2-sense.
Keywords :
asymptotic stability; control system synthesis; convergence; linear systems; partial differential equations; stability; state feedback; (n+1)-state system; L2-sense; boundary controlled transport PDE; convergence; finite space domain; full-state feedback law; linear first-order hyperbolic system stabilization; n counterconvecting PDE; negative transport speeds; positive transport speeds; Approximation methods; Backstepping; Boundary conditions; Couplings; Equations; Integral equations; Kernel;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426367
