Backstepping boundary control for first-order hyperbolic PDEs with unknown spatially varying parameter

Author

Xu Zaihua ; Liu Yungang ; Jian Li

Author_Institution

Sch. of Control Sci. & Eng., Shandong Univ., Jinan, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2635

Lastpage

2640

Abstract

The adaptive boundary stabilization is investigated for a class of systems described by first-order hyperbolic PDEs with unknown spatially varying parameter. Towards the system unknowns, a dynamic compensation is first given by using infinite-dimensional backstepping method, adaptive techniques and projection operator. Then an adaptive boundary controller is constructed by certainty equivalence principle, which can stabilize the original system in a certain sense.

Keywords

adaptive control; hyperbolic equations; multidimensional systems; partial differential equations; stability; adaptive boundary controller; adaptive boundary stabilization; adaptive techniques; backstepping boundary control; certainty equivalence principle; dynamic compensation; first-order hyperbolic PDE; infinite-dimensional backstepping method; projection operator; unknown spatially varying parameter; Adaptive control; Backstepping; Closed loop systems; Educational institutions; Equations; Adaptive Stabilization; First-order Hyperbolic PDEs; Infinite-dimensional Backstepping; Spatially Varying Parameter;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897052

Filename

6897052