An Optimization-Based Iterative Learning Control Design Method for UAV’s Trajectory Tracking

R. Adlakha, Minghui Zheng
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引用次数: 13

Abstract

This paper presents an iterative learning control (ILC) design method to improve the unmanned aerial vehicle’s (UAV’s) tracking performance. ILC is a feedforward control method that aims to improve the tracking performance through learning from errors over iterations in repetitively operated systems. The tracking errors from previous iterations are injected into a learning module, which includes a learning filter and a robust filter, to generate the learning signal and to improve the tracking performance of the current iteration. This paper presents a two-step optimization based design method for these filters. As to the learning filter design, we transform it into a feedback controller design problem for a purposely constructed system. The formulated controller design problem is solved based on H-infinity optimal control theory. After the learning filter is designed, the robust filter is obtained by solving an additional H-infinity optimization problem. Through the proposed two-step optimization-based filter design method, the system’s stability is guaranteed and the learning performance is optimized. The proposed filter design method and the regarding ILC algorithm are applied to the UAV’s trajectory tracking system and are validated by numerical studies based on Gazebo, one high-fidelity simulation platform for UAVs.
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基于优化的无人机轨迹跟踪迭代学习控制设计方法
为了提高无人机的跟踪性能,提出了一种迭代学习控制(ILC)设计方法。ILC是一种前馈控制方法,旨在通过在重复操作的系统中通过迭代从错误中学习来提高跟踪性能。将以前迭代的跟踪误差注入到学习模块中,该模块包括一个学习滤波器和一个鲁棒滤波器,以产生学习信号,提高当前迭代的跟踪性能。本文提出了一种基于两步优化的滤波器设计方法。对于学习滤波器的设计,我们将其转化为一个有目的地构建系统的反馈控制器设计问题。基于h -∞最优控制理论解决了公式化控制器的设计问题。在设计学习滤波器后,通过求解另一个h∞优化问题得到鲁棒滤波器。通过提出的基于两步优化的滤波器设计方法,保证了系统的稳定性,优化了学习性能。将所提出的滤波器设计方法和相应的ILC算法应用于无人机的轨迹跟踪系统,并在无人机高保真仿真平台Gazebo上进行了数值研究。
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