Through application of Pontryagin’s maximum principle we derive minimum-time optimal trajectories for a “steered particle” agent with constraints on speed and turning rate to reach a point on the plane with free terminal heading. We also present a formulation of the optimal trajectories in the form of a state-feedback control law that is applicable to real time motion planning on a robotic system with these motion constraints.
- Dynamic Systems and Control Division
Time-Optimal Trajectories for Steered Agent With Constraints on Speed and Turning Rate
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Scott, WL, & Leonard, NE. "Time-Optimal Trajectories for Steered Agent With Constraints on Speed and Turning Rate." Proceedings of the ASME 2016 Dynamic Systems and Control Conference. Volume 2: Mechatronics; Mechatronics and Controls in Advanced Manufacturing; Modeling and Control of Automotive Systems and Combustion Engines; Modeling and Validation; Motion and Vibration Control Applications; Multi-Agent and Networked Systems; Path Planning and Motion Control; Robot Manipulators; Sensors and Actuators; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamic Controls; Vehicle Dynamics and Traffic Control. Minneapolis, Minnesota, USA. October 12–14, 2016. V002T24A011. ASME. https://doi.org/10.1115/DSCC2016-9892
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