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Characteristic ratio assignment in fractional order systems

Tabatabaei, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.isatra.2010.06.001
  3. Publisher: 2010
  4. Abstract:
  5. In this paper the characteristic ratios and generalized time constant are defined for all-pole commensurate fractional order systems. The sufficient condition for stability of these systems in terms of their characteristic ratios is obtained. Also an analytical approach for characteristic ratio assignment (CRA) to have a non-overshooting fast closed loop step response is introduced. The proposed CRA method is then employed to design a fractional order controller. Computer simulation results are presented to illustrate the performance of the CRA based designed fractional order controllers
  6. Keywords:
  7. Characteristic ratio assignment ; Fractional order controllers ; Fractional order systems ; Analytical approach ; Characteristic ratio ; Closed loops ; CRA method ; Fractional-order controllers ; Sufficient conditions ; Time constants ; Algebra ; Computer simulation ; Controllers ; Computer control systems ; Electric power plant ; Statistical model ; Statistics ; Algorithms ; Electronics ; Equipment Design ; Industry ; Mathematics ; Models, Statistical ; Power Plants
  8. Source: ISA Transactions ; Volume 49, Issue 4 , October , 2010 , Pages 470-478 ; 00190578 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0019057810000613