A Stable Adaptive Robust Position Control Method for Permanent Magnet Synchronous Linear Motors
A permanent magnet synchronous linear, self-adaptive and robust technology, applied in the direction of motor generator control, AC motor control, electronic commutation motor control, etc., can solve the problems of unstable control system, affecting system accuracy, weakening, etc., and achieve fast Accurate trajectory tracking, strong anti-interference ability, and good stability
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[0084] In the embodiment of the present invention, such as figure 1 , for the stable adaptive robust controller described in the present invention, the actual displacement x of the mover and the displacement command x d The tracking error e between is the input signal, the tracking error is recorded as e, and the output control law u is used as the command control signal. The control target is known in the range of parameter uncertainty and uncertain nonlinear quantity, and a control law u is designed to make the tracking error e as small as possible. The specific steps are as follows:
[0085] For a nonlinear system
[0086]
[0087] Based on the idea of stable adaptive robust control design, the control law is selected as:
[0088] u=u m + u s , u s = u s1 + u s2 , u s1 =-k s1 e (23)
[0089] Choose the adaptive law as:
[0090]
[0091] take u s2 =-S(hsgn(e)), where the function h(x,t) can be taken as
[0092]
[0093] Robust feedback u s2 To meet...
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