Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants-Reference-Cited by-同舟云学术

Analysis of Oscillations in Relay Feedback Systems With Fractional-Order Integrating Plants

Published:2017-07-12 Issue:5 Volume:12 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Rezaei Davood¹,Tavazoei Mohammad Saleh²

Affiliation:

1. Electrical Engineering Department, Sharif University of Technology, Tehran 1458889694, Iran

2. Electrical Engineering Department, Sharif University of Technology, Tehran 1458889694, Iran e-mail:

Abstract

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.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4037103/6111480/cnd_012_05_051023.pdf

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