Abstract
This short communication uses numerical continuation to highlight the existence of an isola in a simple 1 degree-of-freedom harmonically-forced feedback system with actuator rate limiting as its only nonlinear element. It was found that the isola (1) contains only rate-limited responses, (2) merges with the main branch when the forcing amplitude is sufficiently large, and (3) includes stable solutions that create a second attractor in regions where rate limiting is not expected. Furthermore, the isola is composed of two solutions for a given forcing frequency. These solutions have the same amplitudes in the state (pitch rate) projection; however, they have distinct phases, and their amplitudes are also distinct when projected onto the integrator state in the controller. The rich dynamics observed in such a simple example underlines the impact of rate limiting on feedback systems. Specifically, the combination of feedback and rate-limiting can create detrimental dynamics that is hard to predict and requires careful analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 186-191 |
| Number of pages | 6 |
| Journal | International Journal of Mechanical System Dynamics |
| Volume | 3 |
| Issue number | 3 |
| Early online date | 3 Aug 2023 |
| DOIs | |
| Publication status | Published - 27 Sept 2023 |
Bibliographical note
Publisher Copyright:© 2023 The Authors. International Journal of Mechanical System Dynamics published by John Wiley & Sons Australia, Ltd on behalf of Nanjing University of Science and Technology.