Semi-active control of a new quasi-zero stiffness air suspension for commercial vehicles based on H₂H_∞ state feedback

Abstract

To further improve the comprehensive vibration isolation performance of commercial vehicles equipped with traditional passive air suspensions under complex driving conditions, this paper proposes a damping control method based on a new configuration of quasi-zero stiffness air suspension . First, the nonlinear model of quasi-zero stiffness air suspension is established by combining gas thermodynamics and suspension dynamics theories. The semi-active control model of a quarter vehicle quasi-zero stiffness air suspension system is generalized to a linear system considering the uncertainty of stiffness parameter based on the Taylor series expansion. Then, the H2 norm of the sprung mass acceleration is adopted as the control output performance index, while the suspension dynamic deflection constraint and the tire dynamic load constraint are taken as the H ∞ performance constraint output index. Based on Lyapunov stability theory, the H2 H ∞ state feedback control law is designed, and the control law design problem is transformed into a convex optimization problem with linear matrix inequalities. Finally, co-simulation and hardware-in-the-loop test results demonstrate that the proposed new semi-active quasi-zero stiffness air suspension structure and H2 H ∞ robust control method are effective in substantially improving the multi-objective comprehensive performance of commercial vehicles under different driving conditions.

Robust controller design of a semi-active quasi-zero stiffness air suspension based on polynomial chaos expansion

“…As a new stochastic method for solving uncertainty problems, many scholars have compared MC and PCE methods in solving uncertainty problems. Dodson and Parks (2009) found that the computational burden of the polynomial chaos expansion-based method is significantly lower than that of the MC method, and Kewlani et al (2012); Qiu et al (2019); Chen et al (2022); Xu et al (2022) have come to the same conclusion.…”

Study of stability of the vehicle body during rotation with the air suspension

“…Figure 3 Change of gas mass when the load changes [8] The fact that the volume (V) of the airbag is maintained constant but the pressure (p) of the airbag is changed, we have a change in the stiffness (C) of the left and right suspension elastomers. This hardness is determined by the formula [15]: Figure 4 The model simulates the vehicle stability and the air suspension system when the vehicle turns around…”

“…The control algorithm will also take into account the effect of the road surface on the vehicle's stability. The algorithm will be tuned to adjust the stiffness of the suspension system in order to maintain the stability of the vehicle while driving [8][9]. This method of controlling the stiffness of the air suspension system can improve the stability of the vehicle while driving, and is expected to reduce the risk of accidents due to poor vehicle stability [10].…”

Nonlinear characteristic analysis of gas-interconnected quasi-zero stiffness pneumatic suspension system:A theoretical and experimental study

“…The systematic analysis reveals that the pressure, volume and mass of the cylinders changes dramatically. GIQZSPS can be regarded as an adiabatic process without heat exchange between the gas and the external environment [24,25,26]. Based on the above assumptions, the model of "Pneumatic Spring, Pipeline, Double-direction Acting…”