This paper proposes a gear injury equilibrium oriented self-adjusted shifting strategy (EASS) to equalize injury values across gears to ensure consistency, alongside an adaptive nonsingular global fast-terminal sliding-mode control for synchronizer control. The EASS allowed ongoing injury to gears to be more consistent, avoiding focused injury on a single gear in the transmission while allowing other gears to take relatively small amounts of injury, thus affecting the transmission life.

We propose a kind of permanent magnet linear motor (PMLM) with inequality constraints to transform the constraint tracking control method based on the equality constraint and U–K inequality status transformation. This method solves the problem of the control system of equality constraints and inequality constraints without the need for the localization of a nonlinear system, proving that the method has certain advantages and can be extended to the safety constraint control of other products.

This paper proposes a global interpolation algorithm that uses the trajectory pattern method for synthesizing low-harmonic trajectories. The synthesized trajectories and axis kinematic profiles are all smooth and only contain the fundamental frequency and its first three harmonics, which could avoid excitation of the system modes of vibration and reduce demand on the actuator dynamic response, thereby allowing the system to operate at higher speed and precision.

It is difficult to achieve high-precision control due to friction of nonlinearity by traditional linear control methodology for the classical drive feed system at low speed. Here, the double-drive differential feed system is proposed to reduce the influence of the nonlinear friction at the ball screw pair of a linear feed system operating at low speed.

In the high-precision servo feed system, when the permanent magnet synchronous motor is operated at low speed in the classical drive feed system, the speed fluctuation caused by the motor torque harmonics seriously affects the speed smoothness of the servo system. In this paper, a novel double-drive differential feed system is proposed to effectively suppress the effect of torque harmonics of PMSM on speed fluctuation of a linear feed system at low-speed operation.