In this paper, we have developed a detailed mathematical model of a pneumatic actuator for a Variable Geometry Turbocharger (VGT) equipped with an Electro-pneumatic Pressure Converter (EPC). This model may require complex calculations for control purpose; therefore the dynamics of the EPC have been neglected and replaced by a static gain. These models incorporate friction and aerodynamic force related effects by using adaptive LuGre model. To compensate for parametric uncertainties, two single-input single-output nonlinear position control laws are designed using the second order sliding mode (SMC) and backstepping control. A comparative study with experiments shows the effectiveness of the proposed controllers.
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Laghrouche et al. (2012) studied this question.
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