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Simultaneous compensation of the gain, phase, and phase-slope

Badri, V ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/1.4034073
  3. Publisher: American Society of Mechanical Engineers (ASME)
  4. Abstract:
  5. This paper deals with the problem of simultaneous compensation of the gain, phase, and phase-slope at an arbitrary frequency by using a fractional-order lead/lag compensator. The necessary and sufficient conditions for feasibility of the problem are derived. Also, the number of existing solutions (i.e., the number of distinct fractional-order lead/lag compensators satisfying the considered compensation requirements) is analytically found. Moreover, as a sample application, it is shown that the obtained results for the considered compensation problem are helpful in tuning fractional-order lead/lag compensators for simultaneously achieving desired phase margin, desired gain cross frequency, and flatness of the Bode phase plot of the loop transfer function at this frequency
  6. Keywords:
  7. Mathematical models ; Arbitrary frequencies ; Compensation problems ; Fractional order ; Lead/lag compensators ; Loop transfer functions ; Phase margins ; Sample applications ; Simultaneous compensation ; Engineering
  8. Source: Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME ; Volume 138, Issue 12 , 2016 ; 00220434 (ISSN)
  9. URL: http://dynamicsystems.asmedigitalcollection.asme.org/article.aspx?articleid=2533288