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\iteman{io-port 01008618}
\itemau{Jayasuriya, Suhada; Song, Jay-Wook}
\itemti{On the synthesis of compensators for nonovershooting step response.}
\itemso{J. Dyn. Syst. Meas. Control 118, No.4, 757-763 (1996).}
\itemab
The paper deals with the synthesis of compensators for nonovershooting step responses. It is shown that a transfer function with a non-negative impulse response does not overshoot in the step response [also shown by {\it A. S. Hauksdottir}, IEEE Trans. Autom. Control 41, No. 10, 1482-1488 (1996; Zbl 0864.93045)]. Simple transfer functions which have non-negative impulse responses are listed. It is shown that the convolution of two transfer functions each having a non-negative impulse response leads to another transfer function with a non-negative impulse response. Simple sufficiency conditions for guaranteeing that the impulse response of a transfer function is non-negative and therefore does not overshoot are given. The conditions encompass a reasonably large class of transfer functions wider than the class of transfer functions for which earlier frequency response based conditions apply. A second sufficiency theorem establishes that the convolution of a non-negative impulse response and a nonovershooting response is also nonovershooting. Sufficient conditions for robust nonovershooting step responses are presented for varying poles and zeros due to parameter uncertainties in the transfer function. Finally, several examples are given.
\itemrv{A.S.Hauksdottir (Reykjavik)}
\itemcc{}
\itemut{nonovershooting step response; pole-zero locations; robust design; non-negative impulse response}
\itemli{doi:10.1115/1.2802354}
\end