Safe and reliable control method for full-state constrained rigid manipulator based on deterministic learning
A technology to determine learning and control methods, applied to manipulators, program-controlled manipulators, manufacturing tools, etc.
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[0077] This embodiment provides a safe and reliable control method for a full-state limited rigid manipulator based on deterministic learning. The schematic diagram of the full-state limited rigid manipulator system is as follows figure 1 As shown, the overall control block diagram is as follows figure 2 As shown, its detailed implementation process includes:
[0078] Step 1. Establish the dynamic model and expected periodic trajectory of the full-state constrained rigid manipulator:
[0079]
[0080] where x 1 =[x 1,1 ,x 1,2 ] T is the angular position of the manipulator joint, x 2 =[x 2,1 ,x 2,2 ] T is the angular velocity of the manipulator joint, k 1 =[ k 11 , k 12 ] T , k 2 =[ k 21 , k 22 ] T , is a definite normal constant vector, M(x 1 ) is the inertia matrix of the manipulator system, V m (x 1,x 2 ) is the centripetal force matrix, G(x 1 ) is the gravitational vector, F(x 2 ) is the friction vector, τ is the control torque, M(x 1 ...
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