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On Undershoot in Siso Systems

journal contribution
posted on 2023-05-16, 16:46 authored by Bernardo Leon de la Barra
In this technical note we show that the step response of an asymptotically stable strictly proper nonminimum phase continuous time system with m1 real open right half plane zeros, no conjugate complex zeros and poles, and with real open left half plane zeros and poles satisfying a given ''bracketing'' condition, exhibits undershoot exactly int m1 + 1/2 times. Both qualitative and quantitative arguments are also introduced to highlight the main issues under discussion. Simple examples are given to illustrate and complement the main result of this note.

History

Publication title

IEEE Transactions on Automatic Control

Volume

39

Pagination

578-581

ISSN

0018-9286

Department/School

School of Engineering

Publisher

IEEE

Place of publication

United States

Repository Status

  • Restricted

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