On overshoot and nonminimum phase zeros

@article{Stewart2006OnOA,
  title={On overshoot and nonminimum phase zeros},
  author={James Stewart and Daniel E. Davison},
  journal={IEEE Transactions on Automatic Control},
  year={2006},
  volume={51},
  pages={1378-1382}
}
It is widely known that real nonminimum phase zeros lead to step response undershoot, and that the size of the undershoot necessarily tends to infinity as the settling time tends to zero. In this note, we show that the presence of two or more real nonminimum phase zeros can lead to step response overshoot in addition to undershoot. A lower bound on the overshoot is derived, and it is shown that the overshoot, like the undershoot, necessarily tends to infinity as the settling time tends to zero… CONTINUE READING
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