Nonlinear Model-Based Control for Parabolic Partial Differential Equations Systems
Atthasit Tawai and Chanin Panjapornpon* Author for corresponding; e-mail address: fengcnp@ku.ac.th
Volume: Vol.35 No.1 (JANUARY 2008)
Research Article
DOI:
Received: 17 October 2007, Revised: -, Accepted: 30 October 2007, Published: -
Citation: Tawai A. and Panjapornpon C., Nonlinear Model-Based Control for Parabolic Partial Differential Equations Systems, Chiang Mai Journal of Science, 2008; 35(1): 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.