Control techniques for motor driven systems

Abstract

A drive signal for a motor-driven mechanical system has zero (or near zero) energy at an expected resonant frequency of the mechanical system. The drive signal may be provided in a series of steps according to a selected row of Pascal's triangle, wherein the number of steps equals the number of entries from the selected row of Pascal's triangle, each step has a step size corresponding to a respective entry of the selected row of Pascal's triangle, and the steps are spaced from each other according to a time constant determined by an expected resonant frequency of the mechanical system. Alternatively, the stepped drive signal may be provided as a series of uniform steps according to a selected row of Pascal's triangle, in which the steps are provided in a number of spaced intervals corresponding to the number of entries from the selected row of Pascal's triangle, each interval includes a number of steps corresponding to a respective entry from the selected row of Pascal's triangle and the intervals are spaced in time according to a time constant determined from the expected resonant frequency of the mechanical system. These techniques not only generate a drive signal with substantially no energy at the expected resonant frequency, they provide a zero-energy 'notch' of sufficient width to tolerate systems in which the actual resonant frequency differs from the expected resonant frequencies.