Dynamic controller for lane keeping and obstacle avoidance assistance system

This paper presents the design and simulation tests of a steering assistance for passenger vehicles based on a dynamic state feedback controller. Its main purpose is to avoid unintended lane departure and collisions. The design of the proposed lane keeping system takes into account the road curvature, considered as an exogenous input, into its internal model. The computation of the control law has been achieved by linking Lyapunov theory of stability to Bilinear Matrix Inequalities which considers bounds in the control input and minimises the reachable set of the vehicle after activation. This control strategy ensures convergence of the lateral offset to zero, even in curvy roads. Simulations show the performance of the controller and an extended application for collision avoidance.