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A Study on Sliding Mode Control for Active Suspension System

BYD Auto Co., Ltd.-Pu Xu
South China University of Technology-Wu Qin, Wen-Bin Shangguan, Huayuan Feng, Yi Sun
  • Technical Paper
  • 2020-01-1084
To be published on 2020-04-14 by SAE International in United States
Sliding mode control with a disturbance observer (SMC-DO) is proposed for suppressing the sprung mass vibration in a quarter-car with double-wishbone active suspension system (ASS), which contains the geometry structure of the upper and lower control arms. The governing equations of double-wishbone ASS are obtained by the balance-force analysis of the sprung mass in ASS. Considering uncertainties in damping, stiffness, and external disturbance acting on the sprung mass, we design a disturbance observer based on a sliding mode control (SMC) to estimate these uncertainties under the unknown road excitation. By the Lyapunov minimax approach, the uniform boundedness and the uniform ultimate boundedness of ASS with the proposed control are rigorously proved. Through co-simulation of ADAMS software and MATLAB/Simulink software, the sprung mass acceleration of ASS can be obtained with and without the proposed control. The results show that ASS with the proposed control can yield better riding comfort performance of vibration attenuation of the sprung mass, which verifies the effectiveness of the proposed approach. Furthermore, the effects of external disturbance and control parameter in the…
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An Interval Analysis and Optimization Method for Generated Axial Force of Automotive Drive Shaft Systems

South China University of Technology-Huayuan Feng, Subhash Rakheja
  • Technical Paper
  • 2020-01-0918
To be published on 2020-04-14 by SAE International in United States
To study the generated axial force (GAF) of the drive shaft system more accurately and effectively, this paper introduces the interval uncertainty into the research focusing on the GAF. Firstly, an interval uncertainty model for calculating the GAF is proposed based on the Chebyshev polynomials and an analytical model of the GAF. The input torque, the articulation angle, the rotation angle of the drive shaft system, the pitch circle radius (PCR) of the tripod joint and the friction coefficient are regarded as interval variables. Secondly, the upper and lower bounds of the proposed GAF model under interval uncertainty parameters are calculated quickly with the vertex method. Then the interval uncertainty optimization of the GAF under uncertainty parameters is performed. The upper bound of the response interval of the GAF is taken as the optimization object. Finally, the proposed model is verified by experiments, while the interval uncertainty analysis and optimization of the GAF are carried out through a numerical example.
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Research on Fractal Friction Model between Balls and Arc Raceways inside a Ball Joint

South China University of Technology-Huayuan Feng, XiHua Li
  • Technical Paper
  • 2020-01-1093
To be published on 2020-04-14 by SAE International in United States
During the operation of the ball joint, its service life and transmission efficiency are affected by the internal friction. Taking the ball joint as the research object, based on fractal theory, the friction between the steel ball and the raceway inside the ball joint of an automotive drive shaft system is studied in this paper. During the analysis, the friction between the steel ball and the arc raceway is regarded as the friction between a sphere and an arc raceway surface. In order to describe the friction state more accurately, this paper proposes a correction coefficient to modify the distribution function of contact asperities in the plane, and obtains the distribution function of contact asperities between the sphere and the arc raceway surface. The correction coefficient is related to the load, the size parameters and the material parameters of the steel ball and the raceway. Then based on the modified distribution function, the fractal models of the friction coefficient, the tangential force (the friction force) and the normal contact load between the steel ball and…