This paper develops a control that combines deterministic and stochastic optimal control solutions to the problem of safe navigation around a spherical obstacle in order to reach a way-point location. The solution for navigation towards the way-point is based on the deterministic minimum time optimal control. Since the intent of the obstacle is unknown to the navigating vehicle, the vehicle anticipates this uncertainty and uses a stochastic optimal control for navigation around the obstacle. The two navigation solutions are combined based on their value functions. Results are illustrated by numerical simulations.
- Dynamic Systems and Control Division
Safe Navigation With the Collision Avoidance of a Brownian Motion Obstacle
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Munishkin, AA, Milutinović, D, & Casbeer, DW. "Safe Navigation With the Collision Avoidance of a Brownian Motion Obstacle." Proceedings of the ASME 2017 Dynamic Systems and Control Conference. Volume 3: Vibration in Mechanical Systems; Modeling and Validation; Dynamic Systems and Control Education; Vibrations and Control of Systems; Modeling and Estimation for Vehicle Safety and Integrity; Modeling and Control of IC Engines and Aftertreatment Systems; Unmanned Aerial Vehicles (UAVs) and Their Applications; Dynamics and Control of Renewable Energy Systems; Energy Harvesting; Control of Smart Buildings and Microgrids; Energy Systems. Tysons, Virginia, USA. October 11–13, 2017. V003T39A009. ASME. https://doi.org/10.1115/DSCC2017-5295
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