Abstract
This paper presents a synthetic method that is based on both the algorithm of the geometry nonlinear feedback and nonlinear system optimal control of hierarchical differential feedback regulation. This method enables us to solve optimal feedback control problems without solving the Riccati Equations or adjoint vectors. Also, the method takes into consideration the avoidance of conjugate points, which is a important aspect of research in optimal control of nonlinear system. The present method is applied to two examples, one is a nonlinear attitude maneuver of spacecraft and the other is an airship optimal feedback tracking control. These applications have been studied numerically in order to show the performance of the present method applied to nonlinear optimal control for aerospace application.
