Nonlinear Optimal Control in Catalytic Process via Stable Manifold Method

This paper proposes an optimal feedback control design for the nonlinear partial differential equation of a catalytic rod in a reactor via stable manifold method. Stable manifold method provides numerical stabilizing solutions of Hamilton-Jacobi equations in nonlinear optimal control theory. We apply this method to a reduced order system obtained from the proper orthogonal decomposition and Galerkin projection. The feasibility of the design is demonstrated by a numerical example.