Vehicle stability control systems called ESP, vehicle dynamics control (VDC), yaw stability control (YSC), and so forth are important active safety systems used for maintaining lateral stability of the vehicles under such adverse conditions. This paper investigates the notion of virtual sensing which is a promising concept for yaw stability control and is an attractive option for vehicle manufactures as it reduces sensor cost, maintenance, and machine downtime.

A frequent situation in automotive control applications is when an unknown input needs to be estimated from available state measurements. The virtual sensor proposed use measurements of lateral acceleration, steering angle as unknown input signals and provide the yaw rate angle estimate as output.\\Stability conditions of this virtual sensor are given in terms of Linear Matrix Inequalities (LMI). To illustrate the proposed methodology, a linear bicycle model is considered.
The observer(virtual sensor) is confronted to data issued from the Callas vehicle simulator.