Formation control method based on complex Laplace matrix
A control method and matrix technology, applied in the field of robot formation, can solve the problems of narrow application area and complex topology structure, and achieve the effects of high robustness, strong practicability and simple design.
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[0037] The novel technical solution of the present invention will be further described below in conjunction with accompanying drawings and actual formation cases.
[0038] Aiming at a multi-mobile human system consisting of 6 robots. 6 robots are distributed on a two-dimensional plane, and their coordinates are (5.4701, 3.6848), (2.9632, 6.2562), (7.4469, 7.8023), (3.5784, -0.0631), (1.8896, 0.8113), (1.8351, 7.7571) need composed as figure 1 The regular hexagonal shape formation shown in this shape can be expressed as (0.5000,0.8660), (-0.5000,0.8660), (-1.0000,0.0000), (-0.5000,-0.8660), ( 0.5000,-0.8660), (1.0000,0.0000), deduce the algorithm process for this case:
[0039] Step 1, build a motion model
[0040] Firstly, a global coordinate system is established for the robot's activity space. For the robot's activity space, establish x-y Cartesian coordinates. For each robot, its coordinates (x, y) in this space can be marked, and complex numbers (x+yj) are used to rep...
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