scholarly journals VIBRATIONS CONTROL OF THE HARMONICALLY EXCITED NONLINEAR SYSTEM VIA POSITIVE POSITION FEEDBACK CONTROLLER

2019 ◽  
Vol 30 (Issue 1-B) ◽  
pp. 9-26
Author(s):  
Y. Amer ◽  
A. EL-Sayed ◽  
A. Saleh ◽  
A. Abdel-Wahab ◽  
Hala Salman
Keyword(s):  
Nonlinear System ◽  
Feedback Controller ◽  
Positive Position Feedback ◽  
Position Feedback

Non-Chaotic Cross-Well State Transfer of Duffing-Holmes Type Bistable Systems

2017 ◽  
Author(s):  
Mehmet R. Simsek ◽  
Onur Bilgen
Keyword(s):  
Stable Equilibrium ◽  
Harmonic Excitation ◽  
Open Loop ◽  
Feedback Controller ◽  
Bistable System ◽  
Hybrid Controller ◽  
Positive Position Feedback ◽  
Bistable Systems ◽  
State Transfer ◽  
Position Feedback

A control strategy called hybrid position feedback control is applied to a bistable system to prevent multiple crossovers during actuation from one stable equilibrium to the other. The hybrid controller is based on a conventional positive position feedback controller. The controller uses the inertial properties of the structure around the stable positions to achieve large displacements by destabilizing a positive position feedback controller. Once the unstable equilibrium is reached, the controller is stabilized to converge to the target stable equilibrium. The bistable system under harmonic excitation and hybrid controller are investigated for its behavior. In addition, energy analysis of the system controlled by the hybrid controller is investigated using numerical time domain methods. The energy variance by parameters and the comparison between the open-loop system with harmonic excitation and the controlled system is investigated.

scholarly journals A novel design of positive position feedback controller based on maximum damping and H2 optimization

2020 ◽  
Vol 26 (15-16) ◽  
pp. 1155-1164 ◽  
Author(s):  
Ahmad Paknejad ◽  
Gouying Zhao ◽  
Michel Osée ◽  
Arnaud Deraemaeker ◽  
Frédéric Robert ◽  
...  
Keyword(s):  
Closed Loop ◽  
Feedback Controller ◽  
Single Degree Of Freedom ◽  
Positive Position Feedback ◽  
Loop Transfer Function ◽  
Optimal Damping ◽  
Optimal Value ◽  
Position Feedback ◽  
Tuning Frequency ◽  
Novel Design

Positive position feedback is an attractive control law for the control of plants having no high frequency roll-off. The tuning of the parameters of the positive position feedback to obtain the desired closed-loop performance is quite challenging. This paper presents a technique to design the positive position feedback controller with the optimal damping. The technique is demonstrated on a single degree-of-freedom system. The poles of the positive position feedback are tuned using the method of maximum damping, which states that the maximum damping is achieved when both closed-loop poles of the system are merged. The parameters of the positive position feedback are dependent on the desired target damping in the closed-loop system. However, arbitrary choice of target damping results in high response at the frequencies lower than the tuning frequency. The optimal value of the target damping is obtained by minimizing the [Formula: see text] norm of the closed-loop transfer function of the system. The influence of the various parameters of the positive position feedback on the closed-loop response of the system is also studied. Finally, the experiments are conducted to verify the effectiveness of the proposed technique.

scholarly journals Positive Position Feedback Controller for Nonlinear Beam Subject to Harmonically Excitation

2019 ◽  
pp. 1-19
Author(s):  
Y. A. Amer ◽  
A. T. EL-Sayed ◽  
A. M. Abdel-Wahab ◽  
H. F. Salman
Keyword(s):  
Time History ◽  
Multiple Scale ◽  
Feedback Controller ◽  
Nonlinear Beam ◽  
Positive Position Feedback ◽  
Simultaneous Resonances ◽  
Position Feedback ◽  
Scale Perturbation ◽  
Response Equation ◽  
Steady State Solutions

In this paper, the vibration reduction of the harmonically excited nonlinear beam is introduced using positive position feedback controller (PPF). The multiple-scale perturbation techniques (MSPT) up is applied to second-order to obtain the analytic results. Numerical simulations are used to compare between time-history and the analytical solution. The frequency response equation (FRE) is studied to illustrate the steady state solutions near the simultaneous resonances. The influences of the different parameters and the system behavior at resonance case are studied to show the optimum conditions of decreasing the vibration. A comparison between the numerical and analytical solutions is presented to appear the validity of the results.

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