Oscillatory behavior and transfer properties of relay feedback systems with a linear plant including a fractional-order integrator are studied in this paper. An expression for system response in the time domain is obtained by means of short memory principle, Poincare return map, and Mittag–Leffler functions. On the basis of this expression, the frequency of self-excited oscillations is approximated. In addition, the locus of perturbed relay system (LPRS) is derived to analyze the input–output properties of the relay system. The presented analysis is supported by a numerical example.
Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants
Sharif University of Technology,
Tehran 1458889694, Iran
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 1, 2016; final manuscript received June 2, 2017; published online July 12, 2017. Assoc. Editor: Bernard Brogliato.
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Rezaei, D., and Tavazoei, M. S. (July 12, 2017). "Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants." ASME. J. Comput. Nonlinear Dynam. September 2017; 12(5): 051023. https://doi.org/10.1115/1.4037103
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