DocumentCode :
2467370
Title :
Optimal boundary control of Kuramoto-Sivashinsky equation
Author :
Dubljevic, Stevan
fYear :
2009
fDate :
10-12 June 2009
Firstpage :
141
Lastpage :
147
Abstract :
This work focuses on optimal boundary control of highly dissipative Kuramoto-Sivashinsky equation (KSE) which describes the long-wave motions of a thin film over vertical plane. A standard transformation is initially used to reformulate the original boundary control problem as an abstract boundary control problem of the KSE partial differential equation (PDE) in an appropriate functional space setting. Low dimensional representation of the KSE is used in the synthesis of a finite dimensional linear quadratic regulator (LQR) in the full-state feedback control realization and in a compensator design with a Luenberger-type observer. The proposed control problem formulation and the performance and robustness of the closed-loop system in the full state-feedback, output-feedback and in the output-feedback with the presence of noise controller realization have been evaluated through simulations.
Keywords :
distributed parameter systems; optimal control; partial differential equations; state feedback; Kuramoto-Sivashinsky equation; compensator design; distributed-parameter systems; feedback control; linear quadratic regulator; long-wave motions; optimal boundary control; partial differential equation; Control system synthesis; Linear feedback control systems; Motion control; Noise robustness; Optimal control; Partial differential equations; Regulators; Robust control; State feedback; Transistors; Boundary control; Distributed-Parameter Systems; Kuramoto-Sivashinsky Equation; LQR; State/Output Feedback Control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
ISSN :
0743-1619
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2009.5160231
Filename :
5160231
Link To Document :
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