Fractional-Order Control Systems by Xue Dingyü

Author:Xue, Dingyü. [Неизв.]
Language: eng
Format: epub
Publisher: De Gruyter
Published: 2017-08-14T21:00:00+00:00

Example 5.17. Design an optimal Charef filter for the model in Example 5.16.

Solution. Select an interested frequency range ω = [10−2, 103]; the frequency response data of the irrational model can be computed. Let the expected order of the optimised Charef filter be 6. The optimised Charef filter can be designed with the statements

and the optimal Charef filter is

The frequency response fitting of this model can be evaluated with the following statements:

with the comparison results shown in Figure 5.28. It can be seen that the fitting quality of the 6th-order optimal Charef filter is close to the 17th-order filter in Example 5.16.

Even if good fitting over a large frequency range like (10−2, 106) is expected, a 16th-order optimal Charef filter can still be designed, and the fitting over the expected interval is perfect, as shown in Figure 5.29. Almost no differences can be witnessed from the fitting results. The fitting model and fitting quality are not shown here:

Fig. 5.28: Comparisons of the frequency responses.

with the optimal Charef filter

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