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This paper presents an algebraic technique to compute the maximum time-delaythat can be accepted in the control loop of a Brushless DC Motor (BLDCM) speedcontroller before the closed loop response becomes unstable. Using a recentlyproposed time-delay stability analysis methodology, we derive accuratestability conditions for the BLDCM speed controller. The results of applyingthe new method show that tuning the PI controller for very fast response in theorder of magnitude of the BLDCM mechanical time constant cause the time-delayto significantly affect the system stability.

An Algebraic Approach for the Stability Analysis of BLDC Motor Controllers