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arXiv 1603.05933cs.ROcs.LGcs.MA
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四旋翼编队的分布式迭代学习控制

Distributed Iterative Learning Control for a Team of Quadrotors

University of Toronto Institute for Aerospace Studies(多伦多大学航空航天研究所)

Andreas Hock, Angela P. Schoellig

摘要:

这项工作的目标是使一组四旋翼飞行器能够学习如何在保持给定编队的同时准确地跟踪所需的轨迹。我们以分布式的方式解决这个问题,每个车辆只能访问其邻居的信息。所需的轨迹仅对一个(或几个)飞行器可用。我们提出了一种分布式迭代学习控制(ILC)方法,其中每个车辆从自己和邻居的先前任务重复的经验中学习,并调整其前馈输入以提高性能。现有的算法在理论上进行了扩展,使其更适用于现实世界的实验。特别是,我们证明了任何因果学习函数的稳定性,根据一个简单的标量条件选择增益。以前的证明仅限于一个特定的学习函数,只依赖于跟踪误差导数(D型ILC)。我们的扩展在ILC设计中提供了更多的自由度,因此,可以实现更好的性能。我们还表明,稳定性不受邻居之间的线性动态耦合。这允许我们使用额外的共识反馈控制器来补偿非重复干扰。两个四旋翼的实验证明了所提出的分布式多智能体迭代学习控制方法的有效性。这是第一次在实验中展示分布式迭代学习控制。

英文摘要:

The goal of this work is to enable a team of quadrotors to learn how to accurately track a desired trajectory while holding a given formation. We solve this problem in a distributed manner, where each vehicle has only access to the information of its neighbors. The desired trajectory is only available to one (or few) vehicles. We present a distributed iterative learning control (ILC) approach where each vehicle learns from the experience of its own and its neighbors' previous task repetitions, and adapts its feedforward input to improve performance. Existing algorithms are extended in theory to make them more applicable to real-world experiments. In particular, we prove stability for any causal learning function with gains chosen according to a simple scalar condition. Previous proofs were restricted to a specific learning function that only depends on the tracking error derivative (D-type ILC). Our extension provides more degrees of freedom in the ILC design and, as a result, better performance can be achieved. We also show that stability is not affected by a linear dynamic coupling between neighbors. This allows us to use an additional consensus feedback controller to compensate for non-repetitive disturbances. Experiments with two quadrotors attest the effectiveness of the proposed distributed multi-agent ILC approach. This is the first work to show distributed ILC in experiment.

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