Quadrotor unmanned aerial vehicle trajectory planning method based on space-time joint optimization
An unmanned aerial vehicle and joint optimization technology, which is applied to unmanned aircraft, aircraft, rotorcraft, etc., can solve problems such as solving complex problems, slowing down the trajectory generation rate, ignoring trajectory time period optimization, etc., to improve the calculation rate, Guaranteed smoothness and easy search effect
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[0104] Randomly sample 6 three-dimensional coordinates in a cube with a side length of 40 as path points, set the initial velocity, initial acceleration, initial jerk, terminal velocity, terminal acceleration, and terminal jerk to zero, and the constraints are:
[0105] v_max=7m / s, a_max=4m / s 2
[0106] Cost function parameter m=6,j=3,w t =1024, w d =50.
[0107] After the time interval is allocated by the trapezoidal time allocation method, the derivation steps of the unconstrained polynomial coefficient optimization link are as follows, and the principle is still explained in the one-dimensional case:
[0108] The cost_d of a uniaxial fifth-order polynomial trajectory is:
[0109]
[0110] Then the optimization problem for the entire trajectory is transformed into:
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[0112]
[0113] Among them, the equality constraints include zero-state constraints at the initial time and terminal time, path point constraints, and velocity and acceleration continuous co...
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