Research on automated lane tracking using linear quadratic control:: control procedure for a curved path

When an automated vehicle is travelling along a curved path, the yaw rate and yaw angle do not have values of zero. This means that it is impossible to apply a simple regulator that converges the values of all state variables to zero. This paper describes the use of a set point regulator, which applies linear quadratic control theory while shifting the equilibrium point in a situation where the road curvature is given as feed-forward information. It also proposes a control method that enables an automated vehicle to navigate curves without feed-forward information by estimating the road curvature as it proceeds.