中文摘要：

最佳的态度控制一在激活的太空船下面在这篇论文被调查。太空船罐头的飞轮仅仅以某种方式在二个独立方向提供控制输入。动态方程在源于系统的全部的尖动量的经常的时间率的 nonholonomic 限制下面为太空船被提出。在激活的太空船下面的这的重取向被转变成一个最佳的控制问题。一个基因算法被建议导出二飞轮角度速度输入的控制法律。控制法律被分离直角的小浪接近。数字模拟显示有小浪近似的基因算法是一条有效途径处理最佳的重取向在激活的太空船下面。

英文摘要：

The optimal attitude control of an underactuated spacecraft is investigated in this paper. The flywheels of the spacecraft can somehow only provide control inputs in two independent directions. The dynamic equations are formulated for the spacecraft under a nonholonomic constraint resulting from the constant time-rate of the total angular momentum of the system. The reorientation of such underactuated spacecraft is transformed into an optimal control problem. A genetic algorithm is proposed to derive the control laws of the two flywheels angle velocity inputs. The control laws are approximated by the discrete orthogonal wavelets. The numerical simulations indicate that the genetic algorithm with the wavelet approximation is an effective approach to deal with the optimal reorientation of underactuated spacecraft.