Abstract

Vehicles driving on the road continuously suffer low-frequency and high-intensity road excitation, which can cause the occupant feelings of tension and dizziness. To solve this problem, a three-degree-of-freedom vehicle suspension system model including vehicle seat is established and a linear function equivalent excitation method is proposed. The optimization of the random excitation is transformed into the optimization of constant force in a discrete time interval, which introduces the adaptive weighted particle swarm optimization algorithm to optimize the delay and feedback gain parameters in the feedback control of time delay. In this paper, the stability switching theory is used for the first time to analyze the stability interval of 3-DOF time-delay controlled active suspension, which ensures the stability of the control system. The numerical simulation results show that the algorithm can reduce vertical passenger acceleration and vehicle acceleration, respectively, by 13.63% and 28.38% on average, and 29.99% and 47.23% on random excitation, compared with active suspension and passive suspension based on inverse control. The effectiveness of the method to suppress road random interference is verified, which provides a theoretical reference for further study of suspension performance optimization with time-delay control.

Highlights

  • The suspension is an important device to ensure the comfort and safety of the ride for the vehicle running on the road [1,2,3,4,5]

  • Compared with the active suspension based on inverse control, the active suspension control strategy with time-delay control designed in this paper can optimize the passenger vertical acceleration by 82.71%, the body vertical acceleration by 83.13%, the suspension dynamic deflection by 13.50%, and the tire dynamic load by

  • After obtaining the time-delay control parameters under random excitation through the adaptive particle swarm optimization algorithm, according to the differential equation of motion of the vehicle’s active suspension system and external excitation input, the passive suspension, the active suspension based on backstepping control, and the external excitation input are established

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Summary

Introduction

The suspension is an important device to ensure the comfort and safety of the ride for the vehicle running on the road [1,2,3,4,5]. Saeed et al [20,21,22] integral suspended Jeffcott-rotor system is an object of research They use the time-delay displacement feedback controller to control the lateral motion of the system and analyze the stability of the controller gain and time-delay, which uses simulation analysis to verify the effectiveness of time-delay vibration reduction. In the research into the control of time-delay vibration reduction under complex excitation, the existing methods of time-delay control parameters do not consider the external excitation in the parameter-solving process. Based on the above analysis, this paper studies a three-degree-of-freedom vehicle suspension system with a vehicle seat, which adopts a wheel-displacement feedbackcontrol strategy It proposes a linear function equivalent excitation method, which means that the optimization problem of random excitation is transformed into the optimization problem of the normal force in the discrete time interval. Simulation is used to analyze the control performance of the control algorithm compared with other control algorithms

Vehicle Model Establishment
Vehicle Model Assumptions
Establishment of the Equation of Motion
Time-Delay Stability Analysis of Active Suspension with Time-Delay Control
The Establishment Method of Objective Function
Time-Delay Control Parameter Optimization Based on Adaptive Weighted Particle
Principle of the Optimization Algorithm
The Steps of Adaptive Weighted Particle Swarm Optimization
Suspension Dynamic Performance Analysis under Harmonic Excitation Input
External Incentive Input
Simulation Results
Conclusions
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