A study on an estimation system of inverse transfer function using adaptive filter estimating minimum-phase and allpass transfer function

2007 ◽  
Vol 90 (9) ◽  
pp. 10-17
Author(s):  
Masaki Kobayashi ◽  
Yoshio Itoh ◽  
James Okello
Keyword(s):  
Transfer Function ◽  
Adaptive Filter ◽  
Minimum Phase ◽  
Estimation System

Achieving Passive Integral Control Using Feedback and Output Redefinition

2013 ◽  
Vol 284-287 ◽  
pp. 2199-2204
Author(s):  
Liang Yih Liu ◽  
Hsiung Cheng Lin
Keyword(s):  
Transfer Function ◽  
Contact Force ◽  
Angular Acceleration ◽  
Joint Torque ◽  
Minimum Phase ◽  
Force Output ◽  
Integral Control ◽  
Output Redefinition ◽  
Poles And Zeros ◽  
Necessary And Sufficient

There exist an infinite number of right-half plane zeros in the transfer function relating the joint torque input to the tip contact force output for a constrained single-link flexible arm. Since the non-minimum phase nature is the cause of instability or stability but caused the smaller control bandwidth. In order to overcome the inherent limitations caused by the non-minimum phase nature, a new input induced by the measurement of joint angular acceleration and a output generated using the measurements of contact force and root shear force are defined. A necessary and sufficient condition is derived such that all poles and zeros of the new transfer function lie on the imaginary axis. The passive integral control is designed to accomplish the regulation of the contact force. The excellent performance of the passive integral controller is verified through numerical simulations.

An Adaptive Fir Filtering Based on Balanced Realization

2013 ◽  
Vol 753-755 ◽  
pp. 2566-2572
Author(s):  
Zheng Hong Deng ◽  
Jian Guo Dang ◽  
Ting Ting Li
Keyword(s):  
Transfer Function ◽  
State Space ◽  
Adaptive Filter ◽  
Finite Impulse Response ◽  
Balanced Realization ◽  
Filtering Algorithm ◽  
Filter Structure ◽  
Fir Filtering ◽  
Attractive Candidate ◽  
Adaptive Fir

Balanced realization is an attractive candidate to design state-space adaptive filter structure due to its least parameter sensitivity. In this paper, based on the balanced realization, an adaptive finite impulse response (FIR) filtering algorithm is proposed to minimize the output-error using the coefficients of the transfer function as the adaptive filter parameters. This algorithm is an internally balanced realization form and guarantees that the designed adaptive FIR filtering always minimizes the ratio of maximum-to-minimum eigenvalues of the Grammian matrices.

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.

Transfer Function Reduction

1976 ◽  
Vol 190 (1) ◽  
pp. 643-651 ◽  
Author(s):  
R. Whalley
Keyword(s):  
Transfer Function ◽  
Series Expansion ◽  
Laurent Series ◽  
Hankel Matrix ◽  
Rational Functions ◽  
Reduced Form ◽  
Reduced Order Models ◽  
Minimum Phase ◽  
Reduced Order

SYNOPSIS A method of generating reduced order models from the Laurent series expansion of a transfer function is examined by means of the Hankel Matrix and its correspondence to the field of rational functions. The approach enables particularly simple results to be derived regarding the composition of the reduced form and the avoidance of non minimum phase characteristics therein.

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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