Vibration reduction of a non-linear ship model using positive position feedback controllers

2021 ◽  
Author(s):  
Y. A. Amer ◽  
A. T. El-Sayed ◽  
E. Elemam. Ahmed
Keyword(s):  
Vibration Reduction ◽  
Feedback Controllers ◽  
Ship Model ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Non Linear

scholarly journals Positive Position Feedback Controllers for Reduction the Vibration of a Nonlinear Spring Pendulum

2016 ◽  
Vol 12 (11) ◽  
pp. 6758-6772
Author(s):  
Y a Amer
Keyword(s):  
Perturbation Technique ◽  
Multiple Scale ◽  
Resonance Case ◽  
Feedback Controllers ◽  
Pendulum System ◽  
Nonlinear Spring ◽  
Positive Position Feedback ◽  
Position Feedback ◽  
Scale Perturbation ◽  
The Stability

In this paper, the two positive position feedback controllers (PPF) are proposed to reduce the longitudinal and angular vibrations of the nonlinear spring pendulum system which simulated the ship roll motion. This described by a four-degreeof- freedom system (4-DOF) which subjected to the external excitation force at simultaneous primary and internal resonance case. The method of multiple scale perturbation technique (MSPT) is applied to study the approximate solution of the given system. The stability of the system is investigated near the resonance case applying the frequency-response equations. Numerically, the effects of different controllers parameters on the basic system behavior are studied.

Determination of optimal positive position feedback parameters by using nonsmooth H∞ synthesis

2020 ◽  
pp. 107754632094379
Author(s):  
Bin E ◽  
Jinjun Shan ◽  
Muhammad Atif Khushnood ◽  
Xiaogang Wang ◽  
Naigang Cui
Keyword(s):  
Control Structure ◽  
Multiple Input Multiple Output ◽  
Flexible Structures ◽  
Optimal Parameters ◽  
Feedback Controllers ◽  
Positive Position Feedback ◽  
Multiple Input ◽  
Position Feedback ◽  
Input Multiple Output ◽  
Fixed Order

This article presents a method for determining optimal parameters of positive position feedback controllers used for suppressing vibration of flexible structures. The method is based on solving the H∞ synthesis problem with additional constraints on the controller structure. The method allows for independent control of damping added to each mode. Moreover, optimal parameters for both simple input simple output and multiple input multiple output control formulations can be obtained. The effectiveness of the method is shown by comparing the results of both multiple input multiple output and simple input simple output positive position feedback controllers designed by the proposed method, with the simple input simple output positive position feedback controller designed by analytically derived optimal parameters. Moreover, results of controllers designed with the fixed-order transfer function control structure are also presented to emphasize the advantages offered by the positive position feedback control structure.

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