Synthesis of Cascaded Three-Terminal RC Networks with Minimum-Phase Transfer Functions

1952 ◽  
Vol 40 (12) ◽  
pp. 1717-1723 ◽  
Author(s):  
P. Ordijng ◽  
F. Hopkins ◽  
H. Krauss ◽  
E. Sparrow
Keyword(s):  
Transfer Functions ◽  
Phase Transfer ◽  
Minimum Phase ◽  
Rc Networks

A Class of Transfer Functions With Non-Negative Impulse Response

1991 ◽  
Vol 113 (2) ◽  
pp. 313-315 ◽  
Author(s):  
S. Jayasuriya ◽  
M. A. Franchek
Keyword(s):  
Transfer Function ◽  
Impulse Response ◽  
Closed Loop ◽  
Transfer Functions ◽  
Phase Transfer ◽  
Minimum Phase ◽  
Step Input ◽  
Input Disturbance ◽  
Negative Impulse ◽  
Poles And Zeros

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.

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