Network-Based Tracking Control of Spacecraft Formation Flying with Communication Delays
Network-Based Tracking Control of Spacecraft Formation Flying with Communication Delays
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DOI：
10.1109/taes.2012.6237593
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发表时间：
2012-07
影响因子：
4.4
通讯作者：
Xi Liu;K. Kumar
中科院分区：
文献类型：
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作者：
Xi Liu;K. Kumar
研究了网络控制系统（NCS）框架内多个航天器的编队跟踪问题。参考轨迹由相对运动的无力线性方程（称为希尔方程）生成。在存在可变通信延迟和有限外部干扰的情况下，考虑使用 NCS 的采样数据表示来跟踪引导器和跟随器航天器之间的相对运动。通过添加比最坏情况延迟更长的缓冲器并增强系统模型以将系统输入的过去值作为附加状态包括在内，制定了新的离散时不变模型，并开发了数字控制器以保证跟踪误差的指数一致最终有界性（UUB）并确保期望的编队目标。数值模拟证明了控制器的有效性。所提出的控制器成功地建立了最大稳态跟踪误差为 0.056 的投影圆形编队，并且控制力保持在 50 mN 以内。
The formation tracking problem for multiple spacecraft in the framework of networked control systems (NCSs) is investigated. A reference trajectory is generated by the force-free linearized equations of the relative motion (known as Hill's equations). A sampled-data representation of the NCS is considered for the tracking control of relative motion between the leader and follower spacecraft in the presence of variable communication delays and bounded external disturbances. By adding a buffer which is longer than the worst case delay and augmenting the system model to include past values of system input as additional states, a new discrete time-invariant model is formulated, and a digital controller is developed to guarantee the exponentially uniformly ultimate boundedness (UUB) of the tracking errors and to ensure desired formation objectives. Numerical simulations are presented to demonstrate the effectiveness of the controller. The proposed controller is successful in establishing projected circular formation with the maximum magnitude of the steady-state tracking error 0.056 and the control forces remain bounded within 50 mN.