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

fYear

2012

fDate

23-25 May 2012

Firstpage

3142

Lastpage

3147

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244495

Filename

6244495