The paper describes the concepts of nonlinear complex modelling of the electro-hydraulic dual clutch transmission. In addition, a method to estimate the unknown electric current input based on the measurable clutch pressure output is presented. The estimation method is based on the classical inverse problem theory. The inverse problem consists of using the actual result of some measurements to infer the values of the parameters that characterize the system. In this method, prior information is obtained from the measurements (clutch pressures). After that, the prior information is used to estimate the unknown input (electric current) using the concepts of nonlinear functional analysis. Experiments performed on a test vehicle, confirm that the proposed model is able to describe the actuators and identify the behavior during a shifting process. The derived model can be useful for an early and accelerated start of the application process in the development phase especially as a simulation tool for gear shift control by means of Software in the Loop (SiL). This method can also be used also in a model fault detection applied on a transmission control system which relies on mathematical descriptions of the system. In addition, this method can be used for determining the optimal electric current supplied to the valve based on the optimal control pressure.
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