This paper presents an automatic control synthesis methodology for robust automatic steering, using LMI (Linear Matrix Inequalities). For the purpose of robust control synthesis, the vehicle is described by a polytopic system with four vertex which includes the system parameters variations. A state feedback is firstly designed and then completed with a PI observer for state estimation. The efficiency of the control law is illustrated by simulation tests such as lane keeping and lane change, performed with the data for the PRAXITELE electrical car.
Abstract