Modeling of hydro-pneumatic suspension system with fractional order terms and simulation analysis of road friendliness

Abstract

To establish the hydro-pneumatic suspension model more accurately and better analyze the influence of heavy vehicle hydro-pneumatic suspension system on road friendliness, the fractional order theory is applied to modeling, and the mathematical model and dynamics model of dual-chamber hydro-pneumatic suspension with fractional order are established by using Matlab/Simulink, and the fractional order differential term of the suspension system is calculated according to the improved Oustaloup filter. The effect of fractional order on suspension stiffness, damping and output forces is also investigated. The optimal fractional order is determined to be 0.9 for the design of a combined suspension performance index function. The vibration law of increasing amplitude and error of fractional-order is obtained through simulation, and the model with fractional-order is described more accurately. A sliding film variable structure controller was established for control. The simulation results were analyzed by means of theoretical road damage factors and dynamic load factors. The results show that the suspension system model with fractional order terms can effectively reduce the dynamic tire load and improve the suspension smoothness and road friendliness.

Keywords

Fractional order hydro-pneumatic suspension Oustaloup filter sliding film variable structure controller road friendliness

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References

Yang

Research of twin-accumulator hydro-pneumatic suspension. Mech Eng J 2009; 45(05): 276–280.

Wang

Gao

Liu

, et al. Stiffness characteristics analysis of interconnected hydro-pneumatic suspension for heavy multi-axle vehicles. J Hydraul Pneum 2018; (05): 32–40.

Research on identity analysis of hydro-pneumatic suspension of semi-trailer. Huazhong University of Science and Technology, 2018. pp.97.

Zhang

Shi

Research on the performance of an special vehicle active hydro-pneumatic suspension. Manufact Automat 2018; 40(04): 43–49.

Cheng

Gao

Liu

, et al. Research on characteristics of single chamber hydro-pneumatic spring. Comput Simul 2016; 33(11): 120–124.

Gemant

A method of analyzing experimental results obtained from Elasto-Viscous bodies. Physics 1936; 7(8): 311–317.

Oustaloup

Moreau

Nouillant

The crone suspension. Control Eng Pract 1996; 4(8): 1101–1108.

Makris

Constantinou

MC.

Fractional-derivative Maxwell model for viscous dampers. J Struct Eng 1991; 117(9): 2708–2724.

Chen

Wang

, et al. Adaptive control of vehicle suspension using fractional order reference models. Journal of Nanjing Forestry University(Natural ences Edition) 2009; 33(3):381–387.

10.

Shen

Yang

Xing

HJ.

Dynamical analysis of linear single degree-of-freedom oscillator with fractional-order derivative. Acta Phys Sin 2012; 61(11): 158–163.

11.

Zhang

Chen

Zhao

, et al. Research on modeling of hydropneumatic suspension based on fractional order. Chin J Automot Eng 2015; 2015(06): 1–11.

12.

Fan

Shen

Yang

. Dynamical Analysis of Two-degree of Freedom Suspension System with Fractional-order Derivative. Joural of Shijiazhuang Tiedao university(natural science edition) 2015; 28(01):86–90+95.

13.

Sang

Dong

Numerical analysis of a dual-chamber hydro-pneumatic suspension using nonlinear vibration theory and fractional calculus. Adv Mech Eng 2017; 9(5): 1687814017705797.

14.

Wang

Shen

Yang

SP.

Nonlinear vibration performance of a piecewise smooth system with fractional-order derivative. Vib Shock 2019; 38(22): 216–223.

15.

Chen

Yang

, et al. Genetic optimization PIλDμ control for fractional nonlinear suspension. Modern Manufact Eng 2019; 1: 13–18.

16.

Nguyen

Lam

Ngo

VH.

Fractional-order sliding-mode controller for semi-active vehicle MRD suspensions. Nonlinear Dyn 2020; 101(2): 795–821.

17.

Chang

Tian

Jin

, et al. Active control of nonlinear suspension with fractional order based on a differential geometry method. Vib Shock 2021; 42(4): 270–276.

18.

Sun

, et al. Fractional modeling and characteristic analysis of hydro-pneumatic suspension for construction vehicles. Processes 2021; 9(8): 1414.

19.

Nonliner modeling and adaptive contral of active hydropneumatic suspension. Qin Hangdao: Yanshan University, 2019. p.74.

20.

Balochian

Fractional order fuzzy PID control of an active suspension system for a high-speed pantograph. Majlesi J Mech Syst 2017; 6(1): 33–42.

21.

Chen

YD.

Research on PID control of nonlinear suspension with fractional damper. Mach Build Autom 2016; 45(06): 88–91.

22.

Liu

Dai

, et al. Design of simplified fractional-order PID controller based on improved Oustaloup filter. Infor Control 2019; 48(06): 723–728. +737.

23.

Wenbin

Hui

Research on sliding mode control for nonlinear active suspension system with two degrees of freedom. Mech Eng J 2020; 56(1): 58–68.

24.

Yang

Feng

JZ.

Modeling and verification of random roads based on Simulink. Agric Equip Vehicle Eng 2019; 57(12): 104–107.

25.

You

Shen

Xing

, et al. Optimal control and parameters design for the fractional-order vehicle suspension system. J Low Freq Noise Vib Active Control 2018; 37(3): 456–467.

26.

Gopala Rao

LVV

Narayanan

. Optimal response of half car vehicle model with sky-hook damper based on LQR control. Int J Dyn Control 2020; 8(2): 488–496.

27.

Yang

Simulation and multi-objective optimization of ride comfort and road-friendliness of six-axle tractor semi-trailer. Chang Chun: Jilin University, 2017. p.85.

28.

Zhang

JL.

The influence of tire rigidity on the road friendliness of heavy vehicles. Modern Mach 2016; 5: 68–70.

29.

Zhang

Cao

, et al. Simulation study of road friendly suspension for heavy vehicle based on ADAMS. Tractor Farm Transp 2010; 37(4): 54–55.

30.

Sun

Zhan

CS.

Study of road friendliness of air suspension based on suboptimal control. Tractor Farm Transp 2014; 41(4): 40–43.

31.

XH.

Road-friendliness analysis of heavy-duty vehicle active suspension based on wheelbase preview control. J Highway Transp Res Dev 2013; 30(11): 152–158.