OPTIMAL PID CONTROLLER DESIGN FOR TRAJECTORY TRACKING OF A DODECAROTOR UAV BASED ON GREY WOLF OPTIMIZER

Ş. Yıldırım, Nihat Çabuk, Veli Bakırcıoğlu
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Abstract

In this study, we aimed to find optimal PD controller gains to control orientation and position of a Dodecarotor UAV with minimum trajectory error. In this context, a cascaded PD controller approach which has velocity feedback in the inner loop and position feedback in the outer loop was adopted for each state (roll, pitch, yaw, altitude) in the flight control of the UAV. Subsequently, a fitness function was defined based on the system's time domain response and trajectory tracking error for each state, except the yaw angle, which is non-dominant in terms of trajectory tracking performance. Grey Wolf Optimizer (GWO) was used to obtain PD gains by minimizing the defined fitness function. At the same time, Particle Swarm Optimizer was used in order to benchmark the obtained results from GWO and to avoid a shallow solution space. The obtained PD controller parameters as a result of the optimization study of both algorithms were implemented to the system and the results were compared with each other. Finally, the gains that provided the best results for both algorithms were compared with each other and the results were discussed in terms of the time domain results and the actuator input smoothness. It has been observed that the GWO optimized controller provides a 40-46% improvement over PSO in all four different mass UAVs in terms of reducing axis position errors.
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基于灰狼优化器的十二旋翼无人机轨迹跟踪最优pid控制器设计
在本研究中,我们的目标是寻找最优PD控制器增益来控制十二旋翼无人机的方向和位置,使其轨迹误差最小。在此背景下,对无人机的飞行控制中的各个状态(滚转、俯仰、偏航、高度)采用了内环速度反馈、外环位置反馈的级联PD控制器方法。然后,根据系统在各个状态下的时域响应和轨迹跟踪误差(偏航角对轨迹跟踪性能影响不大)定义适应度函数。使用灰狼优化器(GWO)通过最小化定义的适应度函数来获得PD增益。同时,利用粒子群优化器(Particle Swarm Optimizer)对GWO得到的结果进行基准测试,避免了求解空间过浅的问题。将两种算法的优化研究结果得到的PD控制器参数应用于系统,并对结果进行了比较。最后,对两种算法的最佳增益进行了比较,并从时域结果和执行器输入平滑度两方面对结果进行了讨论。已经观察到,在减少轴位置误差方面,GWO优化控制器比PSO在所有四种不同质量无人机中提供了40-46%的改进。
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