Sliding mode control of double-wishbone active suspension systems based on equivalent 2-degree-of-freedom model

As a critical component of transportation vehicles, active suspension systems (ASSs) have widely attracted attention for their outstanding capability of improving the riding comfort and the maneuverability. However, due to the effects of the suspension kinematic structure and the rubber elements containing bushings and top mount, the practical double-wishbone ASS cannot achieve the desired performance resulting from the control design based on a simple 2-degree-of-freedom (DOF) model. In this paper, a sliding mode control (SMC) based on an equivalent 2-DOF model is proposed to suppress the sprung mass vibration of a double-wishbone ASS, which is to improve the riding comfort of vehicle. The SMC for a double-wishbone ASS is designed in four steps. First, an equivalent 2-DOF model of a double-wishbone ASS, which considers suspension kinematic structure and rubber properties, is established. The parameter values of an equivalent 2-DOF model are identified by using least square method. Second, an SMC is designed for an equivalent 2-DOF model, and the effect of the parameter value of the 2-DOF model on the riding comfort is investigated by experimental results. Third, a control compensator for a double-wishbone ASS is developed by considering the suspension kinematic structure. Four, the control for double-wishbone ASS is obtained by integrating the compensator into the SMC based on the equivalent 2-DOF model. The numerical simulation results show that the control can effectively suppress the sprung mass vibration of the double-wishbone ASS when the SMC design is based on an equivalent 2-DOF model.

[1]  Hamid D. Taghirad,et al.  Automobile Passenger Comfort Assured Through LQG/LQR Active Suspension , 1998 .

[2]  Jing Zhao,et al.  Design of an integrated controller for active suspension systems based on wheelbase preview and wavelet noise filter , 2019, J. Intell. Fuzzy Syst..

[3]  Jing Zhao,et al.  Fuzzy finite-frequency output feedback control for nonlinear active suspension systems with time delay and output constraints , 2019, Mechanical Systems and Signal Processing.

[4]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[5]  Jing Zhao,et al.  Torque Vectoring and Rear-Wheel-Steering Control for Vehicle's Uncertain Slips on Soft and Slope Terrain Using Sliding Mode Algorithm , 2020, IEEE Transactions on Vehicular Technology.

[6]  Jing Zhao,et al.  Practical multi-objective control for automotive semi-active suspension system with nonlinear hydraulic adjustable damper , 2019, Mechanical Systems and Signal Processing.

[7]  Jia-ling Yao,et al.  Development of a sliding mode controller for semi-active vehicle suspensions , 2013 .

[8]  Jing Zhao,et al.  Adaptive regulating of automotive mono-tube hydraulic adjustable dampers using gray neural network–based compensation system , 2019 .

[9]  Seung-bok Choi,et al.  A nonlinear kinematic and dynamic modeling of Macpherson suspension systems with a magneto-rheological damper , 2016 .

[10]  Paul I. Ro,et al.  A sliding mode controller for vehicle active suspension systems with non-linearities , 1998 .

[11]  P. D. Shendge,et al.  Disturbance observer based sliding mode control of active suspension systems , 2014 .

[12]  Hu Liu,et al.  Fuzzy Adaptive Back-Stepping Sliding Mode Controller for High-Precision Deflection Control of the Magnetically Suspended Momentum Wheel , 2018, IEEE Transactions on Industrial Electronics.

[13]  Mauricio Zapateiro,et al.  Limiting vertical acceleration for ride comfort in active suspension systems , 2018, J. Syst. Control. Eng..

[14]  Huijun Gao,et al.  Robust Sampled-Data $H_{\infty}$ Control for Vehicle Active Suspension Systems , 2010, IEEE Transactions on Control Systems Technology.

[15]  Utkarsh S. Pusadkar,et al.  Linear disturbance observer based sliding mode control for active suspension systems with non-ideal actuator , 2019 .

[16]  Gang Wang,et al.  Finite-time sliding mode tracking control for active suspension systems via extended super-twisting observer , 2017, J. Syst. Control. Eng..

[17]  Huijun Gao,et al.  Adaptive Backstepping Control for Active Suspension Systems With Hard Constraints , 2013, IEEE/ASME Transactions on Mechatronics.

[18]  Wen-Bin Shangguan,et al.  A calculation method of joint forces for a suspension considering nonlinear elasticity of bushings , 2012 .

[19]  Jing Zhao,et al.  Design and Control of an Automotive Variable Hydraulic Damper Using Cuckoo Search Optimized Pid Method , 2019, International Journal of Automotive Technology.

[20]  Hamid Reza Karimi,et al.  Output Feedback Active Suspension Control With Higher Order Terminal Sliding Mode , 2017, IEEE Transactions on Industrial Electronics.

[21]  Ion Stiharu,et al.  Development of kineto-dynamic quarter-car model for synthesis of a double wishbone suspension , 2011 .

[22]  Wen-Bin Shangguan,et al.  A research of sliding mode control method with disturbance observer combining skyhook model for active suspension systems , 2019 .

[23]  Shrivijay B. Phadke,et al.  Nonlinear Control for Dual Objective Active Suspension Systems , 2017, IEEE Transactions on Intelligent Transportation Systems.

[24]  Bo-Chiuan Chen,et al.  Sliding-mode control for semi-active suspension with actuator dynamics , 2011 .

[25]  Cristiano Spelta,et al.  Mixed Sky-Hook and ADD: Approaching the Filtering Limits of a Semi-Active Suspension , 2007 .

[26]  Gang Wang,et al.  Robust non-fragile finite-frequency H∞ static output-feedback control for active suspension systems , 2017 .

[27]  Corina Sandu,et al.  Multibody dynamics modelling and system identification of a quarter-car test rig with McPherson strut suspension , 2011 .

[28]  Jing Zhao,et al.  Design and analysis of an integrated sliding mode control–two-point wheelbase preview strategy for a semi-active air suspension with stepper motor-driven gas-filled adjustable shock absorber , 2018, J. Syst. Control. Eng..

[29]  Paul I. Ro,et al.  Effect of the suspension structure on equivalent suspension parameters , 1999 .

[30]  Paul Young,et al.  An insight into linear quarter car model accuracy , 2011 .

[31]  Young-Bae Kim,et al.  Improved optimal sliding mode control for a non-linear vehicle active suspension system , 2017 .