To enhance the smoothness of the magnetorheological semi-active suspension, a model of the quarter semi-active suspension is constructed. Subsequently, a sliding-mode backstepping controller is developed by integrating slidingmode control with backstepping control to mitigate the significant nonlinearity of the magnetorheological suspension and the system's parameter uncertainty. The Lyapunov function is employed to guarantee asymptotic stability across all levels of the system. The impact of the sliding-mode backstepping controller on suspension performance is simulated and analyzed using MATLAB/Simulink. The simulation results demonstrate the effectiveness of the sliding-mode backstepping control in mitigating the strong nonlinearity and uncertainty of the magnetorheological system. Additionally, the controller significantly enhances the damping effect of the suspension system compared to passive suspension, thereby improving vehicle smoothness.
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Kong et al. (2024) studied this question.
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