Improving stability margins via time-delayed vibration control. (English) Zbl 1384.93056
Insperger, Tamás (ed.) et al., Time delay systems. Theory, numerics, applications, and experiments. Selected papers based on the presentations at the 12th IFAC workshop, Ann Arbor, MI, USA, June 28–30, 2015. Cham: Springer (ISBN 978-3-319-53425-1/hbk; 978-3-319-53426-8/ebook). Advances in Delays and Dynamics 7, 235-247 (2017).
Summary: Time-delayed vibration control of a two degree-of-freedom mechanical system approximates state-derivative feedback, reduces sensitivity, and improves the stability margins. Additional sensors are not required since state derivatives are approximated using available measurements and time delays. A Lambert W function method based design approach is used to solve the resulting delay differential equations. Simulation results demonstrate excellent performance with improved stability margins over state feedback control only.
For the entire collection see [Zbl 1380.34003].
For the entire collection see [Zbl 1380.34003].
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 93C05 | Linear systems in control theory |
| 93D15 | Stabilization of systems by feedback |
| 93C95 | Application models in control theory |
Keywords:
time-delayed vibration control; two degree-of-freedom mechanical system; state-derivative feedback; sensitivity; stability margins; Lambert W function methodSoftware:
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