Title :
Backstepping boundary control for PDEs with non-constant diffusivity and reactivity
Author :
Smyshlyaev, Andrey ; Krstic, Miroslav
Author_Institution :
Dept. of Mech. & Aerosp. Eng., California Univ., San Diego, CA, USA
Abstract :
In this paper, the recently introduced backstepping method for boundary control of linear partial differential equations (PDEs) is extended to plants with non-constant diffusivity/thermal conductivity and time-varying coefficients. The boundary stabilization problem is converted to a problem of solving a specific Klein-Gordon type linear hyperbolic PDE. This PDE is then solved for a family of system parameters resulting in closed form boundary controllers.
Keywords :
boundary-value problems; closed loop systems; diffusion; partial differential equations; stability; thermal conductivity; time-varying systems; Klein-Gordon type linear hyperbolic PDE; backstepping boundary control; boundary stabilization; closed form boundary controller; linear partial differential equations; nonconstant diffusivity; nonconstant reactivity; system parameter; thermal conductivity; time-varying coefficient; Backstepping; Control systems; Cost function; Optimal control; Output feedback; PD control; Partial differential equations; Riccati equations; Stability; Thermal conductivity;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470714
