论文标题
关于使用非线性控制的航天器的态度恢复
On Attitude Recovery of Spacecraft using Nonlinear Control
论文作者
论文摘要
该博士的一般目标论文是研究由高保真数值模拟环境支持的刚性和柔性航天器的动力和控制。对更大的态度指向精确度,态度操纵或恢复的需求,随着使用轻巧和柔性材料的增加,需要在控制策略中考虑灵活的动态。这些增加系统顺序的高度非线性动力学非常难以建模高度的准确性。因此,基于所谓的混合坐标方法详细得出了一类航天器的态度和灵活动力学的一般模型。所考虑的航天器具有恒星拓扑,带有刚性中央总线和柔性板型附属物。鉴于柔性航天器的发动不足,投入输出反馈线性化技术被专门用于将系统分为两个不同的部分,即外部线性系统和内部不可观察的非线性系统。证明了一类非线性系统的一般内部/零动力学定理,然后应用于灵活的航天器,该航天器导致线性渐近稳定的零动力学。还严格分析了柔性航天器的总体闭环稳定性,并使用Lyapunov理论显示出局部渐近稳定。控制器对建模和参数不确定性的鲁棒性通过广泛的数值模拟进行了检查。总体而言,反馈线性化控制方案已被证明是可行和有效的,对于航天器的态度恢复是可行的,并且在近年来也已成为其他应用领域的前部和中心。
The general objective of this Ph.D. thesis is to study the dynamics and control of rigid and flexible spacecraft supported by a high-fidelity numerical simulation environment. The demand for greater attitude pointing precision, attitude maneuvering or recovery with the increased use of lightweight and flexible materials necessitates the consideration of flexible dynamics in the control strategy. These highly nonlinear dynamics which increase the order of the system are extremely difficult to model with high degree of accuracy. A general model for attitude and flexible dynamics for a class of spacecraft is hence derived in detail based on the so-called hybrid coordinates approach. The spacecraft considered has a star topology with a rigid central bus and flexible plate-type appendages. Given that the flexible spacecraft is under-actuated, the input-output feedback linearization technique is specifically used to partition the system into two distinct parts, namely an external linear system and an internal unobservable nonlinear system. A general internal/zero dynamics theorem for a class of nonlinear systems is proved and then applied to a flexible spacecraft which results in a linear asymptotically stable zero dynamics. The overall closed-loop stability of the flexible spacecraft is also analyzed rigorously and shown to be locally asymptotically stable using the Lyapunov theory. The robustness of the controller against modeling and parametric uncertainties is examined through extensive numerical simulations. Overall, the feedback linearization control scheme has been proven to be feasible and efficient for the attitude recovery of a spacecraft and has also become front and center in other application areas in the recent years.