Planar Time Optimal Paths for Non-Symmetric Vehicles in Constant Flows
نویسندگان
چکیده
This paper introduces a new kinematic model to describe the planar motion of an Autonomous Underwater Vehicle (AUV) moving in constant current flows. The AUV is modeled as a rigid body moving at maximum attainable forward velocity with symmetric bounds on the control input for the turning rate. The model incorporates the effect a flow will induce on the turning rate of the AUV due to the non-symmetric geometry of the vehicle. The model is then used to characterize and construct the minimum time paths that take the AUV from a given initial configuration to a final configuration in the plane. Two algorithms for the time-optimal path synthesis problem are also introduced along with several simulations to validate the proposed method.
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