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Title: Nonlinear Model-Based Control for Parabolic Partial Differential Equations Systems
Authors: Atthasit Tawai
Chanin Panjapornpon
Keywords: Nonlinear model-based control
parabolic PDEs
modal analysis
transport-reaction processes
approximate input-state linearization
Issue Date: 2008
Publisher: Faculty of Science, Chiang Mai University
Citation: Chiang Mai Journal of Science 35, 1 (January 2008),221-228
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.
Description: The Chiang Mai Journal of Science is an international English language peer-reviewed journal which is published in open access electronic format 6 times a year in January, March, May, July, September and November by the Faculty of Science, Chiang Mai University. Manuscripts in most areas of science are welcomed except in areas such as agriculture, engineering and medical science which are outside the scope of the Journal. Currently, we focus on manuscripts in biology, chemistry, physics, materials science and environmental science. Papers in mathematics statistics and computer science are also included but should be of an applied nature rather than purely theoretical. Manuscripts describing experiments on humans or animals are required to provide proof that all experiments have been carried out according to the ethical regulations of the respective institutional and/or governmental authorities and this should be clearly stated in the manuscript itself. The Editor reserves the right to reject manuscripts that fail to do so.
ISSN: 2465-3845
Appears in Collections:CMUL: Journal Articles

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