DocumentCode
2428522
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
fYear
2010
fDate
7-10 Dec. 2010
Firstpage
1945
Lastpage
1950
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on
Conference_Location
Singapore
Print_ISBN
978-1-4244-7814-9
Type
conf
DOI
10.1109/ICARCV.2010.5707365
Filename
5707365
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