• A dual-switching strategy alternates between the base double-integral system and its dual system based on the quadrant of the system state, effectively reducing tracking and differential signal overshoot.
• A novel linearized control law is introduced, leading to a new dual-switch tracking differentiator with improved convergence and time optimality.
• Simulation results confirm notable overshoot reduction and enhanced noise filtering performance compared to classic tracking differentiators.
• Experimental validation on a PMSM platform shows the proposed TD as a speed-loop filter reduces the standard deviation from 5.63 r/min to 4.93 r/min versus moving average filtering.
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