224 Application of an Optimal Control Algorithm to Spacecraft and Airship Control

Abstract

This paper presents a synthetic method that 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. As a simple example, airship optimal feedback tracking control has been studied numerically using the present algorithm.