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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244291
