Title :
Control of unstable PDE with long input delay
Author :
ZHANG, Yangyang ; Xie, Chengkang
Author_Institution :
Sch. of Math. & Syst. Sci., Southwest Univ., Chongqing, China
Abstract :
It is well known that control of PDEs with input delay is just opening up for research. This paper presents boundary control design and stabilization for a reaction-diffusion PDE with diffusion coefficients depending on space variable and input time delay. The control design involves an interesting structure of two interconnected PDEs to transfer the input time delay into a space extension. And the stability analysis is characterized in terms of the Hi norm of the actuator state rather than the usual L2.
Keywords :
actuators; control system synthesis; delays; partial differential equations; reaction-diffusion systems; stability; actuator state; boundary control design; diffusion coefficients; input time delay; partial differential equation; reaction-diffusion PDE; space variable; stability analysis; Aerospace electronics; Control systems; Delay; Delay effects; Equations; Kernel; Mathematical model; Boundary Control; Reaction-diffusion Equation; Time Delay;
Conference_Titel :
Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-7814-9
DOI :
10.1109/ICARCV.2010.5707365
