Saturation parameterization control method of mechanical arm system
A control method and technology of manipulators, which are applied in manipulators, comprehensive factory control, program control manipulators, etc., can solve problems such as the inability to obtain a nonlinear system stabilization controller, the inability to provide a closed-loop system, and the impact on system stability.
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[0059] Step 1. Establish a dynamic model of the robotic arm system
[0060] From the dynamic model, the following dynamic equations of the robotic arm system can be obtained:
[0061]
[0062] Among them, q, are the angle, angular velocity and angular acceleration of the manipulator respectively, M(q) is the n×n symmetric and positive definite robot inertia matrix, the matrix are centripetal force and Coriolis moment, is the input control torque of dimension n, G(q) is the gravity term, and sat( ) is the unit saturation function.
[0063] Step 2. Design of the robot arm system controller
[0064] In order to make the system stable, the following form controller is designed,
[0065]
[0066] in, is the controller gain to be solved subsequently. The closed loop system is:
[0067]
[0068] Step 3. Actuator saturation linearization
[0069] Define the following set:
[0070] Ω(P)={q:q T Pq≤1}
[0071]
[0072] where the matrix P is a positive definite m...
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