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**Fractional order disturbance observer for robust vibration suppression.**
*(English)*
Zbl 1142.74334

Summary: For the first time, the fractional order disturbance observer (FO-DOB) is proposed for vibration suppression applications such as hard disk drive servo control. It has been discovered in a recently published US patent application (US20010036026) that there is a tradeoff between phase margin loss and strength of the low frequency vibration suppression. Given the required cutoff frequency of the low pass filter, also known as the \(Q\)-filter, it turns out that the relative degree of the \(Q\)-filter is the major tuning knob for this tradeoff. The solution in US20010036026 was based on an integer order \(Q\)-filter with a variable relative degree. This actually motivated the use of a fractional order \(Q\)-filter. The fractional order disturbance observer is based on the fractional order \(Q\)-filter. The implementation issue is also discussed. The nice point of this paper is that the traditional DOB is extended to the fractional order DOB with the advantage that the FO-DOB design is now no longer conservative nor aggressive, i.e., given the cutoff frequency and the desired phase margin, we can uniquely determine the fractional order of the low pass filter.

### MSC:

74H45 | Vibrations in dynamical problems in solid mechanics |

74M05 | Control, switches and devices (“smart materials”) in solid mechanics |

### Software:

CRONE
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\textit{Y. Chen} et al., Nonlinear Dyn. 38, No. 1--4, 355--367 (2004; Zbl 1142.74334)

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### References:

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