Nonlinear Modelling and Model Verification of a Single Protection Valve

A lumped parameter dynamic model of a single protection valve with electronic actuation in a brake system based on first engineering principles is presented in this paper for control design purposes. The model is developed in an index-1 differential-algebraic equation (DAE) form, and it is capable of describing the hybrid behaviour of the protection valve. The DAE model is transformed into its standard nonlinear input-affine state-space model form, which will be used for control design purposes. The developed model has been verified by simulation studies, where it is shown that it is capable to describe the dynamic behavior of the examined protection valve.