An impulse vector, also known as Kang vector, is a mathematical tool used to graphically design and analyze input shapers that can suppress residual vibration. The impulse vector can be applied to both undamped and underdamped systems, as well as to both positive and negative impulses in a unified manner. The impulse vector makes it easy to obtain impulse time and magnitude of the input shaper graphically.[1]
A vector concept for an input shaper was first introduced by W. Singhose[2] for undamped systems with positive impulses. Building on this idea, C.-G. Kang[1] introduced the impulse vector (or Kang vector) to generalize Singhose's idea to undamped and underdamped systems with positive and negative impulses.
^ abKang, Chul-Goo (August 2019). "Impulse vectors for input shaping control: A mathematical tool to design and analyze input shapers" (PDF). IEEE Control Systems Magazine. 39 (4): 40–55. doi:10.1109/MCS.2019.2913610. S2CID 198145461.
^Singhose, W.; Seering, W.; Singer, N. (1994). "Residual vibration reduction using vector diagrams to generate shaped inputs". Journal of Mechanical Design. 116 (2): 654–659. doi:10.1115/1.2919428.
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