Title :
The Stabilization of a One-Dimensional Wave Equation by Boundary Feedback With Noncollocated Observation
Author :
Guo, Bao-Zhu ; Xu, Cheng-Zhong
Author_Institution :
Acad. of Math. & Syst. Sci., Acad. Sinica, Beijing
Abstract :
This note addresses the stabilization of a one-dimensional wave equation with control at one end and noncollocated observation at another end. A simple exponentially convergent observer is constructed. The dynamical stabilizing boundary output feedback is designed via the observed state. While the closed-loop system is nondissipative, we show its exponential stability using Riesz basis approach
Keywords :
asymptotic stability; closed loop systems; feedback; observers; wave equations; boundary output feedback; closed-loop system; exponential stability; exponentially convergent observer; noncollocated observation; one-dimensional wave equation; stabilization; Africa; Control design; Control systems; Controllability; Eigenvalues and eigenfunctions; Mathematics; Output feedback; Partial differential equations; Stability; State-space methods; Exact controllability; exponential stability; feedback control; observer; wave equation;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.890385
