Identification of non-minimum phase transfer function using higher-order spectrum

1992 ◽  
Vol 44 (2) ◽  
pp. 239-260 ◽  
Author(s):  
Masayuki Kumon
Keyword(s):  
Transfer Function ◽  
Phase Transfer ◽  
Higher Order ◽  
Minimum Phase ◽  
Order Spectrum

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.

Pole-Zero, Zero-Pole Canceling Input Shapers

2011 ◽  
Vol 134 (1) ◽  
Author(s):  
Tarunraj Singh
Keyword(s):  
Time Delay ◽  
Transfer Function ◽  
Phase Transfer ◽  
Transition Time ◽  
Minimum Phase ◽  
Multiple Modes ◽  
Traditional Technique ◽  
Input Shaper

This paper presents the development of an input-shaper/time-delay filter, which exploits knowledge of the zeros of a minimum-phase transfer function to reduce the output-transition time for a rest-to-rest maneuver problem, compared to the traditional zero vibration (ZV) input shaper. The maneuver time of the robust input shaper presented in this work will correspondingly have a smaller maneuver time compared to the zero vibration derivative (ZVD) input-shaper. The shaped profile is changing with time even after the completion of the maneuver similar to postactuation controllers. All the traditional technique for addressing multiple modes and desensitizing the filter over a specified domain of uncertainties are applicable to the technique presented in this paper.

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