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This paper presents an approach to determine the time locations of a three-impulses sequence input shaper known as Unity Magnitude shaper (UM). The analytic design of UM shaper is already achieved for undamped systems and for low-damped ones. In this work, the analytic design for damped systems of such shaper is first developed for second order systems, then, extended to explicit fractional derivative...
Shaping command input or preshaping is used for reducing system vibration in motion control. Desired systems inputs are altered so that the system finishes the requested move without residual vibration. This technique, developed by N.C. Singer and W.P. Seering, is used for example in the aerospace field, in particular in flexible structure control. In a previous work, this method was extended for...
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