Determination of limit cycle oscillation frequency in linear systems with relay feedback

Yong Eun Yoon, Eric N. Johnson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Limit cycle oscillation (LCO) is an isolated periodic solution of nonlinear system dynamics. Since desirable band of frequencies of LCO varies from system to system, we often need to change our systems LCO frequency to a desired one. This paper presents method for the determination of LCO fre- quency for linear relay feedback system. The linear relay feedback system is a simple nonlinear system appropriate for the study of LCO phenom- ena. We present how to design a lead compensator to manipulate LCO frequency. Based on the theories of piecewise linear systems and Poincare map, we have solved for the parameters of the lead compensator for a new desired LCO frequency. Finally, we numerically check for the local and global stability of the new LCO. Several examples of linear relay feedback systems demonstrate that the lead compensator of our design determines LCO frequency exactly as we want, maintaining the local and global stabi.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Edition210039
ISBN (Print)9781624105265
DOIs
StatePublished - Jan 1 2018
EventAIAA Guidance, Navigation, and Control Conference, 2018 - Kissimmee, United States
Duration: Jan 8 2018Jan 12 2018

Publication series

NameAIAA Guidance, Navigation, and Control Conference, 2018
Number210039

Other

OtherAIAA Guidance, Navigation, and Control Conference, 2018
CountryUnited States
CityKissimmee
Period1/8/181/12/18

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All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Yoon, Y. E., & Johnson, E. N. (2018). Determination of limit cycle oscillation frequency in linear systems with relay feedback. In AIAA Guidance, Navigation, and Control (210039 ed.). (AIAA Guidance, Navigation, and Control Conference, 2018; No. 210039). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2018-0607