Follow-up control method by means of fractional-order quick terminal sliding mode control
A terminal sliding mode, fractional-order technology, applied in general control systems, adaptive control, control/regulation systems, etc., can solve problems such as less-than-expected follow-up performance and low efficiency
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[0071] The present invention will be further described below in conjunction with the drawings and embodiments. The present invention includes but is not limited to the following embodiments.
[0072] The scheme of the present invention has the following steps:
[0073] (1) Judging the angle command θ * (k) Has it arrived? If yes, go to step (2), otherwise go to step (11), k is the number of steps for angle control;
[0074] (2) Extract the following angle feedback θ(k), T sp Is the follow-up angle control cycle;
[0075] (3) Use the differentiator to solve the calculation instruction θ * (k) First to third derivative d 1 θ * (k),d 2 θ * (k),d 3 θ * (k):
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[0082] among them, Is the sliding surface θ * (k-1) estimation error; Are respectively θ * (k) and its first-order, second-order, and third-order estimates; They are the first, second, third, and fourth-order gains of the differential estimator;
[0083] (4) Use the differentiato...
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