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| Frequency Characteristics Analysis of Tracking-differentiator |
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| DOI：10.7643/issn.1672-9242.2022.05.017 |
| KeyWord:servo control tracking-differentiator derivation simulink |
| Author | Institution |
| NIU bao-liang |
Institute of System Engineering, China Academy of Engineering Physics, Sichuan Mianyang , China |
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| Abstract: |
| Tracking-differentiator(TD) is a kind of differentiator with better performance to solve the problem of TD’s parameter design. This paper explains the working principle and parameters of the TD. proposes the relationship between its parameters R and the upper limit of operating frequency, establishes a sweep simulation model to obtain the frequency characteristics of TD; studies the non-linearity of its frequency characteristics through simulation of different input amplitudes; and studies the anti-noise capability of TD by adding white noise. Simulating results show that TD frequency up limit calculated from R presents the real frequency limit while the input magnitude is 1. In this range, the TD tracking signal has good amplitude and phase. When the frequency is out of range, the amplitude and phase become bad quickly; when the output amplitude becomes small, the upper frequency limit is extended; the waveform of time domain simulation demonstrates the results consistent with the frequency characteristics. Compared with the smoothing filter, the simulation shows that the tracking signal and differential signal of TD is better than the smoothing filter in general, but the smoothing filter is better than TD when the signal-to-noise ratio is poor. This paper solves the problem of quantitative design of TD parameter R, and the simulation shows the characteristics of TD in time domain and frequency domain, which provides a reference for the application of TD. |
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