Restrained three-degree-of-freedom mechanical arm fixed path point motion control system
A technology of motion control system and fixed path, applied in manipulators, program control manipulators, manufacturing tools, etc., can solve the problems of not considering the rationality of trajectories, reducing applicability, etc., and achieve strong robustness and adaptability, model adjustment The effect of large speed range and torque output range
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[0056] see Figure 1 to Figure 7 As shown, the present invention relates to a constrained three-degree-of-freedom manipulator arm fixed path point motion control system. The Euler-Lagrange method is used to establish the dynamic model of the manipulator arm, and its state space expression form is given, based on The particle swarm algorithm calculates the motion planning of the dynamic model of the mechanical arm, and the dynamic equation of the dynamic model of the mechanical arm is:
[0057]
[0058] Among them: q=[q 1 ,q 2 ,q 3 ] T is the angle vector of the system; τ = [τ 1 ,0,τ 3 ] T is the control torque vector; M(q)∈R 3 ×3 is the inertia matrix, with positive definiteness and symmetry; is the combined vector of Coriolis force and centrifugal force.
[0059] Then the state space form of the system model is:
[0060]
[0061] in:
[0062] f(x)=[x 4 ,x 5 ,x 6 ,f 1 ,f 2 ,f 3 ]
[0063] g(x)=[g 1(x) ,g 2(x) ,g 3(x) ] T
[0064]
[0065] x is...
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