Title :
Stabilization of wave equations with boundary delays and non-collocated feedback controls
Author :
Guo, Yanni ; Xu, Genqi
Author_Institution :
Coll. of Sci., Civil Aviation Univ. of China, Tianjin, China
Abstract :
This paper deals with the non-collocated, time-delayed actively point controls of a star-shaped network modeled by wave equations which has a rigid body attached on the common vertex. A closed-loop control is provided. It is shown that the closed-loop system is exponential stable if and only if it is asymptotically stable and there are at most finite eigenvalues on the imaginary axis under certain conditions. Furthermore, the exponential stability of the closed-loop system can always be obtained by choosing suitable feedback gain constants.
Keywords :
asymptotic stability; closed loop systems; delays; eigenvalues and eigenfunctions; feedback; network theory (graphs); wave equations; asymptotic stability; boundary delays; closed loop control system; exponential stability; feedback gain constants; finite eigenvalues; imaginary axis; noncollocated feedback control; rigid body; star-shaped network; time delayed actively point control; wave equation stabilization; Closed loop systems; Educational institutions; Eigenvalues and eigenfunctions; Electronic mail; Equations; Hilbert space; Propagation; exponential stabilization; non-collocated control; time delay; variable coefficient; wave equations;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244495
