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Characteristic ratio assignment in fractional order systems (case 0 < v ≤ 0.5)

Tabatabaei, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1177/0142331212451990
  3. Publisher: 2013
  4. Abstract:
  5. Five different approaches are presented to assign characteristic ratios for commensurate fractional order systems having order in (0,0.5]. Through the indirect methods, a closed-loop or plant transfer function is converted to a commensurate order one with an order greater than 0.5 so that the previously designed CRA method by the authors is applicable. The first method among the proposed direct ones is based on increasing the order of the desired closed-loop transfer function that allows the employment of positive characteristic ratios. In the second method the closed-loop response is sped up by augmenting an appropriate zero. The final method uses negative characteristic ratios to reach the goal. Computer simulations are provided to show the performance of the mentioned methods in a comparative study
  6. Keywords:
  7. Fractional order controllers ; Closed-loop response ; Fractional order systems ; Characteristic ratio ; Characteristic ratio assignments ; Closed loop transfer function ; Characteristic ratio assignment ; Comparative studies ; Fractional-order controllers ; Fractional-order systems ; Plant transfer function ; Computer simulation ; Algebra
  8. Source: Transactions of the Institute of Measurement and Control ; Volume 35, Issue 3 , 2013 , Pages 360-374 ; 01423312 (ISSN)
  9. URL: http://tim.sagepub.com/content/35/3/360