モデル縮約に基づく非線形偏微分方程式の最適フィードバック制御

抄録

This paper proposes a suboptimal feedback controller design for nonlinear distributed parameter systems via stable manifold method. Stable manifold method provides approximate stabilizing solutions of Hamilton-Jacobi equations in nonlinear optimal control theory. We apply this method to a reduced-order system obtained from proper orthogonal decomposition and Galerkin projection. The feasibility of the design is demonstrated by a numerical example of the feedback controls for the viscous Burgers' equation.