Safety of a quarter-vehicle car through negative derivative feedback controller

Bauomy, H.S.; EL-Sayed, A.T.

doi:10.1016/j.chaos.2022.112960

Cited by 4 publications

(1 citation statement)

References 20 publications

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“…An attempt was made both theoretically and experimentally to preventing the oscillation on a flexible arm featuring a piezoelectric actuator 28 , 29 . It was seen that the NDF control was much more effective than the PPF control.…”

Section: Introductionmentioning

confidence: 99%

Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis

Moatimid,

El-Sayed,

Salman

2024

Sci Rep

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To arrive at an equivalent linear differential equation, the non-perturbative approach (NPA) is established. The corresponding linear equation is employed for performing the structural analysis. A numerical computation demonstrates a high consistency with the precise frequency. The correlation with the numerical solution explains the reasonableness of the obtained solutions. For additional nonlinear kinds of oscillation, the methodology gives an exact simulation. The stable construction of the prototype is shown in a series of diagrams. Positive position feedback (PPF), integral resonant control (IRC), nonlinear integral positive position feedback (NIPPF), and negative derivative feedback (NDF) are proposed to get rid of the damaging vibration in the system. It is found that the NDF control is more efficient than other controllers for vibration suppression. The theoretical methodology is applied by using the averaging method for getting a perturbed solution. The stability and influence of various parameters of the structure are established at main and 1:1 internal resonance, which is presented as one of the worst resonance cases. Association concerning mathematical solution and computational simulation is achieved.

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Section: Introductionmentioning

confidence: 99%

Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis

Moatimid,

El-Sayed,

Salman

2024

Sci Rep

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Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model

Bauomy,

EL-Sayed,

El-Bahrawy

2024

Chaos, Solitons & Fractals

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Stability and bifurcation analysis of a 2DOF dynamical system with piezoelectric device and feedback control

Bahnasy,

Amer,

Abohamer

et al. 2024

Sci Rep

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This study aims to demonstrate the behaviors of a two degree-of-freedom (DOF) dynamical system consisting of attached mass to a nonlinear damped harmonic spring pendulum with a piezoelectric device. Such a system is influenced by a parametric excitation force on the direction of the spring’s elongation and an operating moment at the supported point. A negative-velocity-feedback (NVF) controller is inserted into the main system to reduce the undesired vibrations that affect the system’s efficiency, especially at the resonance state. The equations of motion (EOM) are derived by using Lagrangian equations. Through the use of the multiple-scales-strategy (MSS), approximate solutions (AS) are investigated up to the third order. The accuracy of the AS is verified by comparing them to the obtained numerical solutions (NS) through the fourth-order Runge-Kutta Method (RK-4). The study delves into resonance cases and solvability conditions to provide the modulation equations (ME). Graphical representations showing the time histories of the obtained solutions and frequency responses are presented utilizing Wolfram Mathematica 13.2 in addition to MATLAB software. Additionally, discusses the bifurcation diagrams, Poincaré maps, and Lyapunov exponent spectrums to show the various behavior patterns of the system. To convert vibrating motion into electrical power, a piezoelectric sensor is connected to the dynamical model, which is just one of the energy harvesting (EH) technologies with extensive applications in the commercial, industrial, aerospace, automotive, and medical industries. Moreover, the time histories of the obtained solutions with and without control are analyzed graphically. Finally, resonance curves are used to discuss stability analysis and steady-state solutions.

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Safety of a quarter-vehicle car through negative derivative feedback controller

Cited by 4 publications

References 20 publications

Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis

Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis

Integral resonant negative derivative feedback suppression control strategy for nonlinear dynamic vibration behavior model

Stability and bifurcation analysis of a 2DOF dynamical system with piezoelectric device and feedback control

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