Temperature compensation control of magnetorheological damper based on unified exponential linear mixed analytic model

Abstract The performance of magnetorheological fluids is temperature-dependent, which means that the force exerted by the magnetorheological damper also varies with temperature changes. Additionally, during operation, the damper transforms mechanical vibrational energy into self-generated heat, leading to significant temperature fluctuations. These fluctuations can result in model mismatches and degrade control performance. This paper proposes a parameterized Exponential linear mixed analytic (ELMA) model for the magnetorheological damper, which not only accurately captures the damping force characteristics of the damper but also offers high interpretability. To achieve precise control, a temperature compensation ELMA model is introduced, which includes both forward and inverse models for calculating the required current based on the demand force. Compared to the uncorrected model, the accuracy of current tracking improves by 3.98%, and the accuracy of force tracking improves by 7.75%. Furthermore, the Temperature Compensation Inverse Model is coupled with the Sky-hook and Mixed SH-ADD control algorithms, utilizing joint simulations in CarSim and Simulink. With temperature compensation, the Sky-hook control algorithm reduces acceleration variance by 11.97% and peak pitch rate by 35.82% on challenging roads, while the Mixed SH-ADD algorithm achieves 10.77% and 41.78% reductions, respectively.