DocumentCode
109525
Title
Disturbance Rejection in the Interior Domain of Linear 2 
2 Hyperbolic Systems
Author
Anfinsen, Henrik ; Aamo, Ole Morten
Author_Institution
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
Volume
60
Issue
1
fYear
2015
fDate
Jan. 2015
Firstpage
186
Lastpage
191
Abstract
In this technical note, we develop a full state feedback law for disturbance rejection in systems described by linear 2 × 2 partial differential equations of the hyperbolic type, with the disturbance modelled as an autonomous, finite dimensional linear system affecting the PDE´s left boundary, and actuation limited to the right boundary. The effect of the disturbance is rejected at an arbitrary point in the domain within a finite time. The performance is demonstrated through simulation.
Keywords
distributed parameter systems; hyperbolic equations; linear systems; multidimensional systems; partial differential equations; state feedback; PDE; autonomous finite dimensional linear system; distributed parameter systems; disturbance rejection; finite time; full state feedback law; interior domain; linear hyperbolic systems; linear partial differential equations; Backstepping; Boundary conditions; Equations; Kernel; Mathematical model; Sensors; State feedback; Distributed parameter systems; disturbance rejection; fluid flow systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2014.2322435
Filename
6811231
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