Trajectory tracking control with convergence time assessment

This paper presents a general procedure for state feedback trajectory tracking control design for a class of nonlinear system that combines smoothness, robustness and convergence time assessment and reduction to a prescribed invariant residual set. In particular, it is well adapted to deal with the trajectory tracking control of a half-car kinematic model since only one simple design condition provides the control law that imposes to the closed-loop system, asymptotic tracking of a given trajectory with a prescribed yaw angle orientation. Norm bounded additive matched disturbances are considered in order to establish a trade-off between robustness and speed of convergence. Two examples and a case study are presented and discussed in order to clearly illustrate and compare the theoretical results.