标题：Infinite-horizon optimal control for deploying a tethered sub-satellite
作者：Li, Guoyong ;Lu, Changhou ;Pan, Wei ;Yu, Da
作者机构：[Li, Guoyong ;Lu, Changhou ;Pan, Wei ] School of Mechanical Engineering, Shandong University, Jinan, China;[Lu, Changhou ;Pan, Wei ] Key Laboratory of 更多
来源：International Journal of Control and Automation
关键词：Infinite-Horizon; Nonlinear; Radau Pseudospectral Method; Tethered satellite
摘要：An infinite-horizon optimal control problem for the deployment of a tethered sub-satellite under complex nonlinear constraints is presented. The nonlinearities in the system model and the constraints of states and control are taken into consideration. Legendre-Gauss-Radau pseudo spectral method is described for solving the infinite-horizon optimal control problem numerically. By using a smooth, monotonic domain transformation technique, an infinite-horizon optimal control problem is approximated with a finite-horizon problem. The resulting problem in the finite interval is transcribed to a nonlinear programming problem. The proposed methods yield a series of approximations to the state on the entire horizon. The optimal control law can be determined via a nonlinear programming, without any iteration. A numerical example is included to demonstrate the high effectiveness and hard real-time of the proposed schemes. © 2015 SERSC.