Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance

Author

Jun-Min Wang ; Li-Li Wang ; Jun-Jun Liu ; Beibei Ren

Author_Institution

Sch. of Math. & Stat., Beijing Inst. of Technol., Beijing, China

fYear

2014

Firstpage

856

Lastpage

860

Abstract

In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the “reaching condition” is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.

Keywords

cascade systems; closed loop systems; partial differential equations; stability; variable structure systems; Dirichlet interconnection; ODE-PDE subject; SMC; boundary control matched disturbance; boundary feedback stabilization; cascade system stabilization; closed-loop system; heat equation; sliding mode control; sliding mode function; Closed loop systems; Eigenvalues and eigenfunctions; Equations; Harmonic analysis; Heating; Propagation; Sliding mode control; Backstepping; Boundary control; Cascade systems; Disturbance rejection; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7052828

Filename

7052828