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.

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.

Abstract: Embodiments of the present invention provide a drive signal for a motor-driven mechanical system whose frequency distribution has zero (or near zero) energy at the expected resonant frequency of the mechanical system. The drive signal may be provided as a pair of steps sufficient to activate movement of the mechanical system and then park the mechanical system at a destination position. The steps are spaced in time so as to have substantially zero energy at an expected resonant frequency fR of the mechanical system. The drive signal may be filtered to broaden a zero-energy notch at the expected resonant frequency fR.