A Class of Transfer Functions With Non-Negative Impulse Response

[+] Author and Article Information
S. Jayasuriya, M. A. Franchek

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

J. Dyn. Sys., Meas., Control 113(2), 313-315 (Jun 01, 1991) (3 pages) doi:10.1115/1.2896381 History: Received December 01, 1989; Revised May 01, 1990; Online March 17, 2008


Presented in this note is a class of stable, minimum phase transfer functions whose impulse response is non-negative. A simple sufficiency criterion based on the relative locations of the poles and zeros characterizes the class. When the transfer function is in a factored form the sign of its impulse response may either be obtained by inspection or is inconclusive. A need for identifying such transfer functions was recently established by Jayasuriya (1989) who showed that a controller designed on the basis of maximizing a step input disturbance will reject a persistent disturbance bounded by the size of the maximized step if and only if the closed-loop system’s impulse response is of one sign.

Copyright © 1991 by The American Society of Mechanical Engineers
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