Predefined-Time Control of 4D PMSM System Using Linear Time-Varying Control Input

This paper presents a novel predefined-time convergent control algorithm, which enables one to explicitly set the convergence time in advance, independently of initial conditions. The proposed algorithm utilizes linear time-varying control input terms instead of previously employed exponential ones. The algorithm performance is verified by simulations for a full-scale 4D Permanent-Magnet Synchronous Motor (PMSM) system with completely and incompletely measurable states. The numerical simulations confirm the algorithm efficiency in each considered case. To the best of our knowledge, this is the first attempt to design a predefined-time convergent control law for multi-dimensional systems with incompletely measurable states, using a linear time-varying control input.