Abstract
An approach for the optimal transition control of diffusion-convection- reaction processes based on finite-dimensional models is presented. The finite-dimensional state-space models are constructed directly from the process PDE through application of orthogonal collocation on finite elements in the spatial domain. The dimension of the derived state-space model can be further reduced using standard model reduction techniques. The optimal controller is designed based on the finite-dimensional state-space model using continuous-time linear quadratic regulator (LQR) techniques.
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