Stability control systems like the ESC (Electronic Stability Control) are triggered when the vehicle extends the thresholds controllable by an average driver. This happens more probable on slippery surfaces, e.g. snow, ice and wet roads. Testing of stability systems on dry asphalt can be done almost any time of the year. Testing on slippery surfaces however is more restricted by weather and proving grounds. Another drawback in testing is the reproducibility of the measurements, since the surface condition changes during the tests and the vehicle behaviour gets more sensitive on low surface. Therefore, simulation enables a good pre-assessment of the stability systems independent from testing conditions. Essential for this is a good knowledge about the contact between road and surface, meaning a good tyre model and a reasonable set of tyre model parameters. Getting these parameters for snow and ice was described in two papers of the authors published before. The low friction surface has a high variation in the friction coefficient. For instance, the available lateral acceleration on scraped ice could vary between 0.2 and 0.4 g within a day. This leads to the idea to use generic tyre parameters that vary in a certain range. Benefit would be the robust testing of the stability control systems. The generic tyre model could also cover a high variety of on the market available tyres. Furthermore the model can be used to evaluate changing surface conditions. That means that the surface is not equal over the complete measurement track, but varies. The extreme case of this situation are then the µ-slip manoeuvres, e.g. braking with asphalt on one lane and snow or ice on the other side.