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Algebraic conditions for monotonicity of magnitude-frequency responses in all-pole fractional order systems

Tavazoei, M. S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1049/iet-cta.2013.0999
  3. Abstract:
  4. This study deals with the investigation of the magnitude-frequency responses of all-pole fractional order systems in the viewpoint of extrema existence in these responses. In this investigation, a sufficient algebraic condition, two necessary algebraic conditions, and a necessary and sufficient algebraic condition are obtained to guarantee the non-existence of extrema in the magnitude-frequency response of all-pole fractional order systems. Some examples are presented to show the effectiveness of the results of the paper
  5. Keywords:
  6. Algebra ; Poles ; Algebraic conditions ; Fractional-order systems ; Monotonicity ; Non-existence ; Frequency response
  7. Source: IET Control Theory and Applications ; Volume 8, Issue 12 , 2014 , Pages 1091-1095 ; ISSN: 17518644
  8. URL: http://www.crossref.org/iPage?doi=10.1049%2Fiet-cta.2013.0999