This research is devoted to present spacecraft attitude control via a finite-horizon nonlinear optimal control technique. The spacecraft kinematics are represented using the modified Rodrigues parameters, which possess singularities for eigenaxis rotations greater than 180 degree. The proposed technique is based on State Dependent Riccati Equation (SDRE). In this technique, the differential Riccati equation is converted to a linear Lyapunov differential equation. This technique can be applied for finite-horizon nonlinear regulation and tracking problems. The proposed technique is effective for a wide range of operating points. Simulation results are given to illustrate the effectiveness of the finite horizon technique.

中文翻译：

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有限地平线最优非线性航天器姿态控制

这项研究致力于通过有限水平的非线性最优控制技术来实现航天器姿态控制。使用修改后的Rodrigues参数表示航天器的运动学，该参数具有大于180度的本征轴旋转奇点。所提出的技术基于状态相关的Riccati方程（SDRE）。在这种技术中，微分Riccati方程被转换为线性Lyapunov微分方程。该技术可以用于有限水平的非线性调节和跟踪问题。所提出的技术对于广泛的工作点都是有效的。仿真结果表明了有限水平技术的有效性。