scholarly journals Reach on damping control and stability analysis of vehicle with double time-delay and five degrees of freedom

Author(s):  
Kaiwei Wu ◽  
Chuanbo Ren ◽  
Junshuai Cao ◽  
Zhichuan Sun

Suspension system is one of the important parts of a vehicle, which is used to buffer the impact of uneven road to the body and passengers, so the suspension system has an important impact on the safety and ride comfort of the vehicle. In order to improve the safety and comfort of passengers and vehicles, in this paper a five-degree-of-freedom half car model is established, and the uncertainty of the model and the time-delay of the control are considered. The dynamic response of vehicle body acceleration root mean square, passenger acceleration root mean square, displacement root mean square and vehicle body pitch acceleration root mean square are selected as optimization objectives. The time-delay control parameters are determined by chaos particle swarm optimization algorithm. The time-delay stability of the suspension control system is analyzed by frequency-domain scanning method to ensure the stability of the time-delay control system. Finally, by establishing the simulation model of the active suspension system with double time-delay feedback control, the response characteristics of the suspension system with double time-delay active feedback control to simple harmonic excitation and random excitation input are analyzed. The results show that under the premise of ensuring the system stability, the active suspension system with double time-delay feedback control has good and obvious controlling and damping effect on the body and seats.

2019 ◽  
Vol 39 (1) ◽  
pp. 203-215
Author(s):  
Qingchang Wang ◽  
Chuanbo Ren ◽  
Jilei Zhou ◽  
Lei Zhang

When running in idle condition, the vehicle has no speeds and road excitation, and the engine vertical self-vibration is the main excitation source. In this paper, a five-degree-of-freedom half-vehicle suspension model with double-delay feedback control is proposed to improve the vibration performance in idle condition. First, according to the system amplitude–frequency characteristic, the multiobjective function combining the vehicle body acceleration and pitching angular acceleration is established. Then, utilizing particle swarm optimization in optimizing and analyzing, the optimal feedback gains and time delays of the suspension system are obtained. Subsequently, a new frequency scanning method is utilized to analyze the stability of the controlled suspension system with the optimal feedback parameters. Finally, numerical simulations in the Matlab/Simulink environment are conducted to validate the performance of time-delay reducing vibration control on different engine feedback condition. Simulation results indicate that the active suspension with time-delay feedback control based on engine acceleration has better reducing vibration performance, and the root mean square of vehicle body and pitching angular acceleration are, respectively, reduced 87.37 and 80.01% than that without time delay. The research on vehicle suspension system with time-delay feedback control can improve the vibration performance effectively compared to the conventional one.


Author(s):  
Kaiwei Wu ◽  
Chuanbo Ren ◽  
Yuanchang Chen

Time-delay feedback control can effectively broaden the damping frequency band and improve the damping efficiency. However, the existing time-delay feedback control strategy has no obvious effect on multi-frequency random excitation vibration reduction control. That is, when the frequency of external excitation is more complicated, there is no better way to obtain the best time-delay feedback control parameters. To overcome this issue, this paper is the first work of proposing an optimal calculation method that introduces stochastic excitation into the process of solving the delay feedback control parameters. It is a time-delay control parameter with a better damping effect for random excitation. In this paper, a 2 DOF one-quarter vehicle suspension model with time-delay is studied. First, the stability interval of time-delay feedback control parameters is solved by using the Lyapunov stability theory. Second, the optimal control parameters of the time-delay feedback control under random excitation are solved by particle swarm optimization (PSO). Finally, the simulation models of a one-quarter vehicle suspension simulation model are established. Random excitation and harmonic excitation are used as inputs. The response of the vehicle body under the frequency domain damping control method and the proposed control method is compared and simulated. To make the control precision higher and the solution speed faster, this paper simulates the model by using the precise integration method of transient history. The simulation results show that the acceleration of the vehicle body in the proposed control method is 13.05% less than the passive vibration absorber under random excitation. Compared with the time-delay feedback control optimized by frequency response function, the damping effect is 12.99%. The results show that the vibration displacement, vibration velocity, and vibration acceleration of the vehicle body are better than the frequency domain function optimization method, whether it is harmonic excitation or random excitation. The ride comfort of the vehicle is improved obviously. It provides a valuable tool for time-delay vibration reduction control under random excitation.


2021 ◽  
Vol 1 (1) ◽  
pp. 1-9
Author(s):  
Zongwei Li ◽  
◽  
Vanliem Nguyen ◽  

The vertical vibration of the vehicles not only affects the durability of parts of the vehicle and road surface but it also affects the driver’s ride comfort and health. The aim of this study is to evaluate the effect of the vertical vibration on the driver’s ride comfort and health under the vehicle different operating conditions. The adaptive PID control is then applied to improve the vehicle's ride comfort. To achieve this goal, a 2D vibration model for the cars with 5 DOF is established to simulate. The different operating conditions of the speed, road surface, load, and working time of the vehicles are respectively evaluated based on the vertical weighted r.m.s. acceleration responses of the driver’s seat and the international standard ISO 2631. The results show that the road surface condition has the greatest influence on the driver’s comfort and health. With the vehicle's suspension system controlled by the adaptive PID controller, the ride comfort of the vehicle is significantly improved under the various road surfaces. Particularly, at ISO level B, the vertical driver's seat root-mean-square acceleration value is greatly reduced by 24.99 % while the pitching vehicle body root-mean-square acceleration value is decreased by 25.10 % in comparison with the passive suspension system.


2011 ◽  
Vol 48-49 ◽  
pp. 1162-1171 ◽  
Author(s):  
Yi Hui Zeng ◽  
Shao Jun Liu ◽  
Wei Cheng

Considering the multiple and complicated driving conditions for tracked vehicles and their structural features, a comprehensive intelligent control method to deal with semi-active suspension was proposed based on the principle of magneto rheological damper. One half of the tracked vehicle suspension system is taken as the research object, where analysis is directed to the vertical amplitude, pitch angle and vertical body acceleration response. And the magneto rheological damper was taken as an actuator, the fuzzy control was taken as feedforward and PID control was taken as feedback. The control system model has been established by using of the complex random road output to simulink due to the condition of MATLAB/Simulink. The simulation results show that it is of good real-time control competence, good robustness and high accuracy, etc. Contrasting to passive suspension, some capability parameters such as the body vertical amplitude, pitch angle and the body vertical acceleration of the semi-active suspension system can had been well controlled by using of the intelligent hybrid control method, for exmple, the root mean square value of vertical amplitude decreased by 37.2%,the root mean square value of pitch angle decreased by 45.2% and root mean square value of the vertical vibration acceleration decreased by 38.6%.


2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Kaiwei Wu ◽  
Chuanbo Ren

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.


Author(s):  
Yong Guo ◽  
Chuanbo Ren

In this paper, the mechanical model of two-degree-of-freedom vehicle semi-active suspension system based on time-delayed feedback control with vertical acceleration of the vehicle body was studied. With frequency-domain analysis method, the optimization of time-delayed feedback control parameters of vehicle suspension system in effective frequency band was studied, and a set of optimization method of time-delayed feedback control parameters based on “equivalent harmonic excitation” was proposed. The time-domain simulation results of vehicle suspension system show that compared with the passive control, the time-delayed feedback control based on the vertical acceleration of the vehicle body under the optimal time-delayed feedback control effectively broadens the vibration absorption bandwidth of the vehicle suspension system. The ride comfort and stability of the vehicle under random road excitation are significantly improved, which provides a theoretical basis for the selection of time-delayed feedback control strategy and the optimal design of time-delayed feedback control parameters of vehicle suspension system.


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