Data-driven design of model-free control for reference model tracking based on an ultra-local model: Application to vehicle yaw rate control

S. Yahagi, Itsuro Kajiwara
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Abstract

Lateral vehicle dynamics control is important for autonomous driving. This paper presents a data-driven design of model-referenced model-free control (DD-MR-MFC) based on an ultra-local model for vehicle yaw rate control. The characteristics of lateral vehicle dynamics systems depend on vehicle velocities and weights. For this system, fixed proportional–integral–derivative (PID) controllers cannot provide the desired control performance. Additionally, although model-based control can be applied to lateral vehicle dynamics, the modeling process is time-consuming. To efficiently design controllers that can realize the desired performance, we adopt a model-free approach. In this study, the control law of practical MR-MFC is derived by extending the traditional MFC based on an ultra-local model and using a data-driven design method. The MFC approach can be applied to nonlinear systems with few parameters, and the data-driven method provides optimized parameters from single-experiment time-series data without the need for repeated experiments and system model to be controlled. Additionally, the processing cost is considerably low because the controller parameter can be obtained using least-square methods. The effectiveness of the proposed method is verified using a multibody vehicle simulator. The yaw rate tracking performance is examined under different velocities and loads. Results showed that the root-mean-square error of the proposed method is approximately 1/100th of that when using a fixed PID controller optimized using a data-driven method.
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基于超局部模型的参考模型跟踪无模型控制的数据驱动设计:应用于车辆偏航率控制
车辆横向动力学控制对于自动驾驶非常重要。本文介绍了一种基于超局部模型的数据驱动型无模型参照控制(DD-MR-MFC)设计,用于车辆偏航率控制。车辆横向动力学系统的特性取决于车辆速度和重量。对于这种系统,固定的比例-积分-派生(PID)控制器无法提供理想的控制性能。此外,虽然基于模型的控制可以应用于横向车辆动力学,但建模过程非常耗时。为了有效地设计能实现理想性能的控制器,我们采用了无模型方法。在本研究中,通过对基于超局部模型的传统 MFC 进行扩展,并使用数据驱动设计方法,得出了实用 MR-MFC 的控制法则。MFC 方法可应用于参数较少的非线性系统,而数据驱动方法可通过单次实验的时间序列数据提供优化参数,无需重复实验和系统模型控制。此外,由于控制器参数可通过最小二乘法获得,因此处理成本大大降低。使用多体车辆模拟器验证了所提方法的有效性。在不同速度和负载下,对偏航率跟踪性能进行了检验。结果表明,建议方法的均方根误差约为使用数据驱动方法优化的固定 PID 控制器的 1/100。
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