2015
DOI: 10.1109/tro.2015.2479878
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A Computationally Efficient Motion Primitive for Quadrocopter Trajectory Generation

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Cited by 323 publications
(251 citation statements)
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“…The mapping L between low-rate x[dt] and high-rate y[dt ] is implemented by the following trajectory generator, adapted from [18]. It takes in a motion duration T f > 0 and a pair of position, velocity and acceleration tuples, called waypoints: an initial waypoint q 0 = (p 0 , v 0 , a 0 ) and a final waypoint q f = (p f , v f , a f ).…”
Section: A the Trajectory Generatormentioning
confidence: 99%
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“…The mapping L between low-rate x[dt] and high-rate y[dt ] is implemented by the following trajectory generator, adapted from [18]. It takes in a motion duration T f > 0 and a pair of position, velocity and acceleration tuples, called waypoints: an initial waypoint q 0 = (p 0 , v 0 , a 0 ) and a final waypoint q f = (p f , v f , a f ).…”
Section: A the Trajectory Generatormentioning
confidence: 99%
“…In our control architecture, the waypoints are the elements of the low-rate x computed by solving (3). The generator of [18] formulates the quadrotor dynamics in terms of 3D jerk and this allows a decoupling of the equations along three orthogonal jerk axes. By solving three independent optimal control problems, one along each axis, it obtains three minimum-jerk trajectories, each being a spline…”
Section: A the Trajectory Generatormentioning
confidence: 99%
“…We use the approach proposed in [26] to plan optimal, feasible trajectories that prevent the vehicle from colliding with obstacles. The authors of that work propose a fast polynomial trajectory generation method that minimizes the third derivative of the position (namely, the jerk).…”
Section: Trajectory Planningmentioning
confidence: 99%
“…Additionally, during the platform following stage, we exploit the speed of the trajectory planning method [26] to provide the quadrotor with a set of feasible candidate trajectories, and we select the one with the lowest cost. Such a cost is the integral of the jerk along the trajectory, which the authors of [26] show to be an upper bound on the product of the inputs to the vehicle, namely the collective thrust and the angular velocities around the three body axes.…”
Section: Trajectory Planningmentioning
confidence: 99%
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