Sensitivity analysis of steering system model

The method of sensitivity analysis of mathematical model with strong non-linear characteristics is discussed in the paper. This model focuses on friction, as well as freeplay dynamics in a car steering system including stick-slip fenomena. Because of strong nonlinearities of the model, its sensitivity indexes can not be counted by classic sensitivity variation equations and classic mathematical analysis of smooth functions.  Fortunately,   nonlinear characteristics are described with using special piecewise - linear luz(...) and tar(...) projections. They have an original mathematical apparatus which secures parametrically made simplifications and enough regularity of the model (some details of analytical transformations are shown). Thanks to luz(...) and tar(...) projections the continuity of sensitivity indexes is secured but of course, the calculation of sensitivity indexes has to base on comparative simulation investigations. The paper presents example results of simulations of the steering system action (including stick-slip processes) for different values of friction as well as freeplay parameters (kinetic and static friction in king-pins, backlash in a steering gear). These simulations concern combined open road tests of a passenger car according to the ISO requirements (ISO 7401 - the ramp input on the steering wheel, then ISO 4138 - circular steady state motion, and finally the steering wheel released, all with a constant speed 80 km/h).