DocumentCode
2669981
Title
Stabilization of spatially non-causal reaction-diffusion equation
Author
Guo, Chunli ; Xie, Chengkang
Author_Institution
Sch. of Math. & Syst. Sci., Southwest Univ., Chongqing, China
fYear
2012
fDate
23-25 May 2012
Firstpage
1816
Lastpage
1820
Abstract
This paper addresses boundary control to stabilize a reaction-diffusion equation, in which heat source depends on the temperature of the whole space. A new backstepping transformation of two kernels is introduced. Mathematical tricks are employed to solve the kernel equations, thus, a control law is obtained specifically. The inverse transformation is derived, and stability of the closed loop established. Three figures show simulation results.
Keywords
closed loop systems; control system synthesis; inverse transforms; nonlinear control systems; reaction-diffusion systems; stability; backstepping transformation; boundary control; closed loop system; control law; controller design; heat source; inverse transformation; kernel equations; spatially noncausal reaction-diffusion equation stabilization; temperature; Backstepping; Boundary conditions; Control design; Equations; Kernel; Mathematical model; Stability analysis; Boundary control; Reaction-diffusion equation; Spatially non-causal; Stability;
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.2012.6244291
Filename
6244291
Link To Document