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Oscillatory condition and invariant sets in fractional order relay feedback systems

Rezaei, D ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1109/IranianCEE.2019.8786716
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2019
  4. Abstract:
  5. In this paper, an oscillatory condition is obtained for fractional order relay feedback systems. This condition is derived by time domain representation of the response of the fractional order relay feedback system on the basis of the Mittag-Leffler functions. Also, using an inequality, which has been recently proved for fractional derivative of convex Lyapunov functions, an invariant set is found for the under-study fractional order relay feedback system. The obtained results are validated by numerical examples
  6. Keywords:
  7. Fractional order relay feedback system ; Invariant set ; Oscillatory condition ; Feedback control ; Lyapunov functions ; Convex Lyapunov function ; Fractional derivatives ; Fractional order ; Mittag-Leffler functions ; Oscillatory conditions ; Relay feedback systems ; Time-domain representation ; Relay control systems
  8. Source: 27th Iranian Conference on Electrical Engineering, ICEE 2019, 30 April 2019 through 2 May 2019 ; 2019 , Pages 1097-1101 ; 9781728115085 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8786716