Multi-joint industrial mechanical arm backstepping finite time sliding mode control method
An industrial machinery, time-limited technology used in adaptive control, general control systems, control/regulation systems, etc.
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[0064] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
[0065] like figure 1 — Figure 5 As shown, the multi-joint industrial manipulator backstepping finite-time sliding mode control method is characterized in that it includes the following steps:
[0066] (1) Establish a multi-joint industrial manipulator system model, the specific process is as follows:
[0067] For the n-joint industrial manipulator system, if the influence of dynamics, friction and disturbance is considered, the dynamic model can be expressed as:
[0068]
[0069] In formula (1), represent the position, velocity and acceleration vector of the joint respectively; M(q)∈R n×n is the positive definite inertia matrix of the system; is the centrifugal force and Coriolis force matrix; G(q)∈R n is the gravity term vector acting on the joint; τ∈R n is the control torque vector, which represents the driving torque acting on each joint...
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