Abstract
With the application of an active control unit in the suspension system, the phenomenon of time delay has become an important factor in the control system. Aiming at the application of time-delay feedback control in vehicle active suspension systems, this paper has researched the dynamic behavior of semivehicle four-degree-of-freedom structure including an active suspension with double time-delay feedback control, focusing on analyzing the vibration response and stability of the main vibration system of the structure. The optimal objective function is established according to the amplitude-frequency characteristics of the system, and the optimal time-delay control parameters are obtained by using the particle swarm optimization algorithm. The stability for active suspension with double time-delay feedback control by frequency-domain scanning method is analyzed, and the simulation model of active suspension with double time delay based on feedback control is finally established. The simulation results show that the active suspension with double time-delay feedback control could reduce the body’s vertical vibration acceleration, pitch acceleration, and other indicators significantly, whether under harmonic excitation or random excitation. So, it is indicating that the active suspension with double time-delay feedback control has a better control effect in improving the ride comfort of the car, and it has important reference value for further research on suspension performance optimization.
Highlights
With the rapid improvement of modern automobile technology, more and more consumers have higher requirements for car ride comfort and operational stability
Hu and Wang [8, 9] in order to analyze the stability interval of the time-delay dynamical system, used the stability switching idea to study the influence of the time-delay positive feedback on the system; Su and Tang [10, 11] studied the design of active suspension vibration controller with time delay by using the quarter-car model under random excitation; Xu and Li [12, 13, 14] studied the dynamic behavior of two-degree-of-freedom structure with time delay by using a direct method and analyzed the dynamic characteristics and stability of the system
It can be seen from (e) and (f ) of Figure 5 that the front and rear tire dynamic relative displacements have been reduced significantly, and the corresponding RMS value of the tire dynamic displacements have decreased from 0.0108 and 9.7508e − 4 to 0.0020 and 3.3363e − 4. It dropped by 81.48% and 68.78%. e simulation results show that the active suspension system with double timedelay feedback control reduces the body acceleration and pitch acceleration without increasing the tire deformation and dynamic load, ensuring the safety of vehicle driving and vehicle handling stability. is shows the effectiveness of the active control method with double time delay under harmonic excitation
Summary
With the rapid improvement of modern automobile technology, more and more consumers have higher requirements for car ride comfort and operational stability. Hu and Wang [8, 9] in order to analyze the stability interval of the time-delay dynamical system, used the stability switching idea to study the influence of the time-delay positive feedback on the system; Su and Tang [10, 11] studied the design of active suspension vibration controller with time delay by using the quarter-car model under random excitation; Xu and Li [12, 13, 14] studied the dynamic behavior of two-degree-of-freedom structure with time delay by using a direct method and analyzed the dynamic characteristics and stability of the system. According to the dynamic characteristics of a four-degree-of-freedom half-vehicle suspension, this paper applies the active suspension theory with stable double time-delay feedback control to a half-vehicle model and innovates a frequency-domain scanning method to determine the stability interval of double time delay. According to the dynamic characteristics of a four-degree-of-freedom half-vehicle suspension, this paper applies the active suspension theory with stable double time-delay feedback control to a half-vehicle model and innovates a frequency-domain scanning method to determine the stability interval of double time delay. e active suspension with double delay feedback control under random excitation is simulated
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