Analysis of limit-cycle oscillation in control systems with piecewise nonlinearities

Yongeun Yoon, Eric Johnson

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

Abstract

Studies on the adaptive flight control systems in the presence of destructive limit-cycle oscillation (LCO) or pilot induced oscillation has received recent interest in order to construct a highly reliable control laws. Potential adverse LCO is inherent in control systems with piecewise nonlinearities such as actuator and/or rate saturation, especially when we need to apply a sufficiently high gain to the system for high performance. This paper provides a theoretical foundation to analyze the LCO and to optimize the loop gain for the control systems with piecewise nonlinearities. By establishing the piecewise nonlinearities as equivalent analytic functions we can apply Floquet theory to identify LCO and check its stability. In addition, we determine the least upper bound of the loop gain based on the framework provided by the Floquet theory and piecewise linear system analysis. We take an example of a short period mode flight control system with rate saturated servo mechanism to demonstrate the proposed framework of analysis.

Original languageEnglish (US)
Title of host publicationAIAA Scitech 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105784
DOIs
Publication statusPublished - Jan 1 2019
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: Jan 7 2019Jan 11 2019

Publication series

NameAIAA Scitech 2019 Forum

Conference

ConferenceAIAA Scitech Forum, 2019
CountryUnited States
CitySan Diego
Period1/7/191/11/19

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All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

Cite this

Yoon, Y., & Johnson, E. (2019). Analysis of limit-cycle oscillation in control systems with piecewise nonlinearities. In AIAA Scitech 2019 Forum (AIAA Scitech 2019 Forum). American Institute of Aeronautics and Astronautics Inc, AIAA. https://doi.org/10.2514/6.2019-2182