Time-Delayed Vibration Control Of Two Degree-Of-Freedom Mechanical Syste For Improved Stability Margins

Time-delayed vibration control is used for a two degree-of-freedom mechanical system to approximate state-derivative feedback and to reduce sensitivity and improve stability margins. Additional sensors are not required since state-derivatives are approximated using available measurements and time delays. A systematic design approach, based on solution of delay differential equations using the Lambert W method, is presented. The simulation results demonstrate excellent performance with improved stability margins over state feedback control only.