Nonlinear Optimal Control in Catalytic Process via Stable Manifold Method. Issue 13 (2015)

• Record Type: Journal Article
• Authors: Hamaguchi, Kenichi; Nishida, Gou; Sakamoto, Noboru; Yamamoto, Yutaka
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 13(2015)
• Page Start: 250
• Page End: 255
• Publication Date: 2015
• Subjects: optimal control -- distributed-parameter system -- nonlinear systems -- proper orthogonal decomposition -- stable manifold method; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.10.248
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: 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.