Backlash self-adaptive filter and method for modeling and compensating hysteresis thereof
A technology of adaptive filter and adaptive algorithm, applied in the direction of adaptive network, impedance network, electrical components, etc., can solve the problems of insufficient accuracy and realizability
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[0041] In order to better illustrate the purpose and advantages of the present invention, further description will be given below in conjunction with the accompanying drawings and embodiments.
[0042] Backlash adaptive filter structure of the present invention is as figure 1 As shown, it includes an adder module, an error calculation module, multiple adaptive weighting modules, and multiple Backlash operator modules of the same width. Calculate the output of each serial Backlash operator link according to formula (2). The validity of formula (2) is proved by the following theorem.
[0043] Theorem: For such figure 2 The width of the concatenation shown is r 1 and r 2 The two Backlash operators of can be equivalent to a width r 1 + r 2 Backlash operator.
[0044] Proof: For width r 1 and r 2 The transfer characteristics of the two Backlash operators in discrete form are:
[0045] y 1 ( k ...
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