Planning for systems with dynamics is challenging as often there is no local planner available and the only primitive to explore the state space is forward propagation of controls. In this context, tree sampling-based planners have been developed, some of which achieve asymptotic optimality by propagating random controls during each iteration. While desirable for the analysis, random controls result in slow convergence to high quality trajectories in practice.
This short position statement first argues that if a kinodynamic planner has access to local maneuvers that appropriately balance an exploitation-exploration trade-off, the planner's per iteration performance is significantly improved. Generating such maneuvers during planning can be achieved by curating a large sample of random controls. This is, however, computationally very expensive. If such maneuvers can be generated fast, the planner's performance will also improve as a function of computation time.
Towards objective, this short position statement argues for the integration of modern machine learning frameworks with state-of-the-art, informed and asymptotically optimal kinodynamic planners. The proposed approach involves using using neural networks to infer local maneuvers for a robotic system with dynamics, which properly balance the above exploitation-exploration trade-off. In particular, a neural network architecture is proposed, which is trained to reflect the choices of an online curation process, given local obstacle and heuristic information. The planner uses these maneuvers to efficiently explore the underlying state space, while still maintaining desirable properties. Preliminary indications in simulated environments and systems are promising but also point to certain challenges that motivate further research in this direction.
[1]
S. LaValle,et al.
Randomized Kinodynamic Planning
,
2001
.
[2]
Alonzo Kelly,et al.
Kinodynamic motion planning with state lattice motion primitives
,
2011,
2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.
[3]
Karl Reichard,et al.
Model‐based Prediction of Skid‐steer Robot Kinematics Using Online Estimation of Track Instantaneous Centers of Rotation
,
2014,
J. Field Robotics.
[4]
Emilio Frazzoli,et al.
Sampling-based algorithms for optimal motion planning
,
2011,
Int. J. Robotics Res..
[5]
Jur P. van den Berg,et al.
Kinodynamic RRT*: Asymptotically optimal motion planning for robots with linear dynamics
,
2013,
2013 IEEE International Conference on Robotics and Automation.
[6]
Kostas E. Bekris,et al.
Asymptotically optimal sampling-based kinodynamic planning
,
2014,
Int. J. Robotics Res..
[7]
Alonzo Kelly,et al.
Toward Optimal Sampling in the Space of Paths
,
2007,
ISRR.
[8]
Kostas E. Bekris,et al.
Efficient and Asymptotically Optimal Kinodynamic Motion Planning via Dominance-Informed Regions
,
2018,
2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS).
[9]
Kris Hauser,et al.
Asymptotically Optimal Planning by Feasible Kinodynamic Planning in a State–Cost Space
,
2015,
IEEE Transactions on Robotics.