Real-Time Trajectory Planning Method Based On N-Order Curve Optimization

In recent years, many functionalities were developed for Automated Vehicles (AVs) and some of them with close-to-market prototypes. A required topic is the generation of continuous trajectories that reduces the amount of discrete and pre-coded instructions while leading the vehicle safely. Consequently, this work presents a novel real-time trajectory planning approach based on numerical optimization of n-order Bézier curves and lane-based information. The generation of a feasible trajectory considers the vehicle dimension while driving into a lane-corridor. The nonlinear optimization problem was solved with the Bound Optimization BY Quadratic Approximation method (BOBYQA), and it uses the passengers’ comfort, safety, and vehicle dynamics as constraints of the problem. The solution is validated in a simulation environment using a bus with a length of 12 meters. Moreover, the validation considered the roundabouts due to its complexity, nevertheless, the solution is scalable to other scenarios.

[1]  Wei Zhan,et al.  Speed profile planning in dynamic environments via temporal optimization , 2017, 2017 IEEE Intelligent Vehicles Symposium (IV).

[2]  Nikolaos V. Sahinidis,et al.  Derivative-free optimization: a review of algorithms and comparison of software implementations , 2013, J. Glob. Optim..

[3]  Julius Ziegler,et al.  Trajectory planning for Bertha — A local, continuous method , 2014, 2014 IEEE Intelligent Vehicles Symposium Proceedings.

[4]  Lydia E. Kavraki,et al.  Sampling-Based Methods for Motion Planning with Constraints , 2018, Annu. Rev. Control. Robotics Auton. Syst..

[5]  Joshué Pérez,et al.  Dynamic trajectory generation using continuous-curvature algorithms for door to door assistance vehicles , 2014, 2014 IEEE Intelligent Vehicles Symposium Proceedings.

[6]  Kai Oliver Arras,et al.  RRT-based nonholonomic motion planning using any-angle path biasing , 2016, 2016 IEEE International Conference on Robotics and Automation (ICRA).

[7]  Hong Wang,et al.  A Motion Planning and Tracking Framework for Autonomous Vehicles Based on Artificial Potential Field Elaborated Resistance Network Approach , 2020, IEEE Transactions on Industrial Electronics.

[8]  David González,et al.  Continuous curvature planning with obstacle avoidance capabilities in urban scenarios , 2014, 17th International IEEE Conference on Intelligent Transportation Systems (ITSC).

[9]  Myoungho Sunwoo,et al.  Hierarchical Trajectory Planning of an Autonomous Car Based on the Integration of a Sampling and an Optimization Method , 2018, IEEE Transactions on Intelligent Transportation Systems.

[10]  Joshué Pérez,et al.  Fast Maneuver Planning for Cooperative Automated Vehicles , 2018, 2018 21st International Conference on Intelligent Transportation Systems (ITSC).

[11]  Charles Audet,et al.  Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems , 2008 .

[12]  Jorge Godoy,et al.  Self-Generated OSM-Based Driving Corridors , 2019, IEEE Access.

[13]  Joshué Pérez,et al.  Urban Motion Planning Framework Based on N-Bézier Curves Considering Comfort and Safety , 2018, Journal of Advanced Transportation.

[14]  David González,et al.  A Review of Motion Planning Techniques for Automated Vehicles , 2016, IEEE Transactions on Intelligent Transportation Systems.

[15]  M. Powell The BOBYQA algorithm for bound constrained optimization without derivatives , 2009 .

[16]  Davis E. King,et al.  Dlib-ml: A Machine Learning Toolkit , 2009, J. Mach. Learn. Res..

[17]  Hong Chen,et al.  Simultaneous Trajectory Planning and Tracking Using an MPC Method for Cyber-Physical Systems: A Case Study of Obstacle Avoidance for an Intelligent Vehicle , 2018, IEEE Transactions on Industrial Informatics.

[18]  Joshué Pérez,et al.  A Linear Model Predictive Planning Approach for Overtaking Manoeuvres Under Possible Collision Circumstances , 2018, 2018 IEEE Intelligent Vehicles Symposium (IV).

[19]  M. Powell The NEWUOA software for unconstrained optimization without derivatives , 2006 .

[20]  Lydia Tapia,et al.  Path-guided artificial potential fields with stochastic reachable sets for motion planning in highly dynamic environments , 2015, 2015 IEEE International Conference on Robotics and Automation (ICRA).

[21]  J. Shewchuk An Introduction to the Conjugate Gradient Method Without the Agonizing Pain , 1994 .

[22]  Matthias Mayr,et al.  Lanelet2: A high-definition map framework for the future of automated driving , 2018, 2018 21st International Conference on Intelligent Transportation Systems (ITSC).

[23]  Tobias Hesse,et al.  Negotiation of Cooperative Maneuvers for Automated Vehicles: Experimental Results , 2019, 2019 IEEE Intelligent Transportation Systems Conference (ITSC).