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Nonlinear Model-Based Control for Parabolic Partial Differential Equations Systems


Paper Type 
Contributed Paper
Title 
Nonlinear Model-Based Control for Parabolic Partial Differential Equations Systems
Author 
Atthasit Tawai and Chanin Panjapornpon
Email 
fengcnp@ku.ac.th
Abstract:
This work proposed the extended technique of nonlinear feedback controller in [2] for nonlinear distributed parameter system governed by parabolic partial differential equations (PDEs). The concepts of modal decomposition and Galerkin projection under the assumption of discrete eigenspectrum in [7] are used to approximate the model in the form of ordinary differential equations (ODEs). The combination of modal decomposition analysis with the control method in [2] is applied to a typical transport-reaction process with multiple steady states. The simulation results showed that the controller is successfully employed to control the temperature profiles of the process at desired output.
Start & End Page 
221 - 228
Received Date 
2007-10-17
Revised Date 
Accepted Date 
2007-10-30
Full Text 
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Keyword 
Nonlinear model-based control, parabolic PDEs, modal analysis, transport-reaction processes, approximate input-state linearization
Volume 
Vol.35 No.1 (JANUARY 2008)
DOI 
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