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A Real-Time Approach to Minimum-Energy Reorientation of an Asymmetric Rigid Body Spacecraft

机译:一种不对称刚体航天器最小能量定向的实时方法

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The minimum-energy fixed-time rest-to-rest reorientation of an asymmetric rigid-body spacecraft is investigated. The problem is first formulated as a non-convex optimal control problem using a quaternion based dynamic model. Past attempts at solving this problem either sacrifice fidelity to solve analytically or require computationally intensive nonlinear programming (NLP) solvers to tackle the original problem. However, through discretization and constraint implementation, the original optimal control problem is transformed into a sequential convex programming (SCP) problem. Additionally, a simple line search method is introduced to aid in the convergent process of the SCP method. Through numerical demonstrations, the SCP approach has been shown to converge to the minimum-energy optimal solution, even with trivial initial trajectories. The solutions are validated through a comparison with an NLP-based solver, GPOPS. Additionally, line search (LS) has been shown to aid convergence of SCP by decreasing the number of iterations by a significant amount. This introduces a novel approach to solve the minimum-energy fixed-time rest-to-rest reorientation in real time.
机译:研究了不对称刚体航天器的最小能量固定时间静止到静止的重新定向。首先使用基于四元数的动态模型将问题表述为非凸最优控制问题。过去解决该问题的尝试要么牺牲了保真度来进行解析,要么需要计算量大的非线性规划(NLP)求解器来解决原始问题。但是,通过离散化和约束实现,原来的最优控制问题被转换为顺序凸规划(SCP)问题。另外,引入了一种简单的行搜索方法以帮助SCP方法的收敛过程。通过数值演示,SCP方法已经证明可以收敛到最小能量的最佳解决方案,即使初始轨迹不重要也是如此。通过与基于NLP的求解器GPOPS进行比较,对解决方案进行了验证。此外,线搜索(LS)已显示通过将迭代次数减少很多而有助于SCP的收敛。这引入了一种新颖的方法来实时解决最小能量的固定时间静止到静止的重新定向。

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