Modelling of eps type steering systems including freeplay and friction in steering mechanism

Electric power steering (EPS) systems are important ingredients of modern cars. Basing on mechanic (steering mechanism), electric (electric motor), electronic (controller) and mechatronic (sensors) components, they are typical servo mechanic devices, which support drivers handling action. The paper presents mathematical modelling of EPS systems treated as multi body mechanisms with power assistance, including strong non-linear phenomena caused by a friction (especially in king-pins) and a feeplay (in gear-box). Mathematical model consists of several variable structure ordinary differential equations with piecewise linear characteristics. Model non-linearities are described with using special piecewise linear luz (…) and tar(...) projections. These projections and their original mathematical apparatus facilitate synthesis and analysis of the model. The model equations are derived from constitutive equations and control rules. This method can be also applied for synthesis of other non-linear multi-body electromechanical systems. The elaborated models of EPS systems have the forms ready to use in simulation programs. Some examples of simulation studies of the open car tests due to sensitivity analysis of steering system model are also presented in the paper.