Title :
Stabilization for a class of delayed coupled PDE-ODE systems with boundary control
Author :
Tang, Shuxia ; Xie, Chengkang ; Zhou, Zhongcheng
Author_Institution :
Dept. of Math. & Stat., Southwest Univ., Chongqing, China
Abstract :
A class of coupled PDE-ODE systems with delays at the input and two-directional interconnection at the interfaces (one single point) is discussed in this paper. Exponential stability in the sense of the corresponding norms for the original closed-loop system with the derived controller is obtained by finally transforming the system into an exponentially stable PDEs-ODE cascade with a boundary feedback backstepping controller, and the result is also rigidly proved.
Keywords :
asymptotic stability; closed loop systems; delay systems; feedback; partial differential equations; boundary control; boundary feedback backstepping controller; closed-loop system; delayed coupled PDE-ODE system; exponential stability; stabilization; stable PDE-ODE cascade; two-directional interconnection; Backstepping; Delay; Delay effects; Equations; Kernel; PD control; Backstepping; Boundary control; Coupled system; Input delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968195
