An LQR torque compensator for driveline oscillation damping

This paper derives an LQR anti-jerk controller for an automotive driveline. The time derivative of the drive shaft torque, which is closely related to the vehicle jerk, is used as a virtual system output and regulated to zero. Thereby the controller does not need a reference model for generation of reference trajectories for the control law evaluation. The controller acts as a torque compensator for the driver's torque demand which the controller output asymptotically follows. The properties of the controller are discussed and the behavior is illustrated by simulation examples.