Unmanned surface vessel full state constraint trajectory tracking control method based on saturation compensation technology
A trajectory tracking and control method technology, applied in two-dimensional position/course control, non-electric variable control, control/regulation system, etc., can solve the problems of state constraint saturation and large control error
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specific Embodiment approach 1
[0033] Specific implementation mode one: the full-state constraint trajectory tracking control method of the surface unmanned vehicle based on the saturation compensation technology includes the following steps:
[0034] Before describing this implementation, first define the relevant parameters:
[0035] n x , η y , η ψ ——The position component and heading of the target USV relative to the ground coordinate system;
[0036] v x ,ν y ,ν ψ ——the surge, sway and yaw speed of the target USV;
[0037] M——symmetric positive definite inertia matrix;
[0038] C(ν)——centripetal force and Coriolis force matrix;
[0039] D(ν)——damping matrix;
[0040] g(η)——restoring force caused by gravity, sea current and buoyancy;
[0041] H - unknown interference;
[0042] J(η)——the non-singular transformation matrix from the satellite coordinate system to the ground coordinate system;
[0043] τ——desired control input;
[0044] sat(τ)——actual control input;
[0045] Δτ—the difference ...
specific Embodiment approach 2
[0158] Specific embodiment two: the difference between this embodiment and specific embodiment one is: the specific process of establishing the dynamics model of surface unmanned boat in the described step one is:
[0159] The coordinate origin o of the satellite coordinate system o-xy is located at the center of gravity of the surface unmanned boat, the x-axis points from the stern to the bow along the longitudinal axis, and the y-axis points to the port side; the coordinate origin O of the ground coordinate system O-XY is located at the mooring line At the connection with the mooring terminal, the X, Y axes and the x, y axes of the satellite coordinate system are in the same plane;
[0160] The dynamic model of the 3-DOF, multi-input and multi-output surface unmanned vehicle is as follows:
[0161]
[0162] in hollow Represents the field of real numbers; (η x , η y ) represents the position in the ground coordinate system, η ψ Indicates the heading angle in the gro...
specific Embodiment approach 3
[0165] Specific embodiment three: the difference between this embodiment and specific embodiment one or two is that: the dynamics model of the surface unmanned boat established according to step one in the described step two, the specific process of designing the saturation compensation auxiliary system is:
[0166] The present invention uses an anti-saturation compensator to process the saturation function, and designs a saturation compensation auxiliary system:
[0167]
[0168] Where M is a symmetric positive definite inertia matrix, C 1 ,C 2 is a diagonal matrix whose diagonal elements are all constant numbers, ζ 1 ,ζ 2 is the output of the saturation compensation auxiliary system, J is the non-singular transformation matrix from the satellite coordinate system to the ground coordinate system, Δτ is the difference between the desired control input τ and the actual control input sat(τ);
[0169] The error variable z for the position 1 and the error variable z for the...
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