Position reversal solution control method of six-freedom cascade mechanical arm
A control method and technology of a mechanical arm, applied in the direction of position/direction control, non-electric variable control, control/regulation system, etc., can solve the problems of poor real-time performance and low accuracy, and meet the requirements of real-time performance, accuracy, and calculation amount Small, easy-to-achieve effects
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[0029] The present invention will be further described below with reference to the accompanying drawings.
[0030] refer to figure 1 , a position inverse solution control method of a six-degree-of-freedom mechanical arm in series, characterized in that: the dual quaternion can be used to represent the nature of the rotation and translation of a three-dimensional object, and each rotating joint of the six-degree-of-freedom mechanical arm is transformed by a dual quaternion Numbers show that in three-dimensional space, around the unit vector u=(u x , u y , u z ) rotation by angle θ can be represented by a unit quaternion as:
[0031] cos(θ / 2)+sin(θ / 2)(u x i+u y j+u z k)
[0032] which is
[0033] q=[cos(θ / 2), sin(θ / 2)x , u y , u z >] (1)
[0034] The unit quaternion can describe the rotation of a rigid body as shown in formula (2), and a displacement in three-dimensional space can be synthesized by rotation and translation, and the rotation is represented by the unit ...
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