Adoption of state feedback to control dynamics of a vehicle with a steer-by-wire system

This investigation confirms the chaotic motion of a vehicle with a steer-by-wire system, and then elucidates a system for controlling the chaos. A bifurcation diagram reveals complex non-linear behaviours over a range of parameter values. Next, the largest Lyapunov exponent is estimated to identify periodic and chaotic motions. Finally, the state feedback control approach for controlling a chaotic cornering vehicle is presented. The control of chaos prevents the driver from cornering the vehicle dangerously, so the controlled vehicle exhibits stable cornering behaviour. Some simulation results are presented to reveal the feasibility of the presented approach.