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

fYear

2005

fDate

8-10 June 2005

Firstpage

4557

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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2005. Proceedings of the 2005

ISSN

0743-1619

Print_ISBN

0-7803-9098-9

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2005.1470714

Filename

1470714