Maintaining lateral and longitudinal trajectory tracking accuracy is challenging for autonomous ground vehicles (AGVs). This paper considers kinematics and dynamics of longitudinal and lateral motion to form a novel composite structure considering the cross-impacts of acceleration and steering commands on tracking errors in the lateral and longitudinal directions, respectively. The multi-tiered structure uses backstepping with smooth robust control to iteratively map kinematics-based velocity and yaw rate commands to slip-yaw dynamics-based acceleration and steering commands. In kinematics, longitudinal tracking error is stabilized by sliding mode control (SMC) while variable structure control (VSC) stabilizes lateral tracking error and balances tracking accuracy and steering gracefulness. Backstepping extends these commands through vehicle dynamics to provide robust steering and acceleration commands. Cross impacts between lateral and longitudinal motion is addressed by vehicle modeling and controller designs. A robust observer is applied for sideslip estimation to reject uncertainties. Peaking from the high gain observer and robust control is addressed. Stability analysis is provided and field experiments on an open road demonstrate and validate effectiveness of the controllers.

Path following accuracy and error convergence with graceful motion in vehicle steering control is challenging due to the competing nature of these requirements, especially across a range of operating speeds. This work is founded upon slip-based kinematic and dynamic models, which allow derivation of controllers considering error due to sideslip and the mapping between steering commands and graceful lateral motion. A novel recursive backstepping steering controller is proposed that better couples yaw-rate based path following commands to steering angle and rate. Observer based sideslip estimates are combined with heading error in the kinematic controller to provide feedforward slip compensation. Path following error is compensated by a Variable Structure Controller (VSC) to balance graceful motion, path following error, and robustness. Yaw rate commands are used by a backstepping dynamic controller to generate robust steering commands. A High Gain Observer (HGO) estimates sideslip and yaw rate for output feedback control. Stability analysis is provided and peaking is addressed. Field experimental results evaluate the work and provide comparisons to MPC.