Over the years, complex control approaches have been developed to control the motion of a bicycle. Reinforcement Learning (RL), a branch of machine learning, promises to be an automated approach for solving optimal control problems. By interacting with and observing an environment, a so-called agent is trained, ultimately leading to a learned controller. The present work introduces a pure RL approach to do path following with a virtual bicycle model while simultaneously stabilizing it laterally. The bicycle, modeled using the Whipple benchmark model and multibody system dynamics, has no stabilization aids. The observation of the environment consists of the minimal positional and velocity coordinates of the bicycle, as well as of information about the path ahead of the bicycle provided by moving preview points. Both path following and stabilization of the bicycle model are achieved exclusively by controlling the steering angle setpoint of the bicycle. Curriculum learning is applied as a state-of-the-art training strategy. Different settings for the RL approach are investigated and compared. The ability of the learned controllers to do path following and stabilization of the bicycle model traveling between 2 m/s and 7 m/s along complex paths including full circles, slalom maneuvers, and lane changes is demonstrated. Explanatory methods for machine learning are used to analyze the learned controller and identify connections to research in bicycle dynamics.

Three formulations for a flexible 3-D thin plate element for dynamic analysis within a multibody dynamics environment are compared: a classical Discrete Kirchhoff Triangle (DKT) with large displacements and large rotations, a fully parametrized rectangular element according to the absolute nodal coordinate formulation (ANCF) and a rectangular element according to the ANCF with an elastic midplane approach. The comparison is made by means of a small deformation static test and extensive eigenfrequency analyses on a stylized problem. It is shown that die DKT element can describe arbitrary rigid body motions and that both the DKT element and the thin plate ANCF element show good convergence to analytic solutions by increasing number of elements, and suppress shear locking which is present in the fully parametrized ANCF element.