Nonlinear model-based control for parabolic partial differential equations systems

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.