This book described vibration reduction for flexible structures by
the command smoothing techniques. The command smoothing technique
is a kind of open-loop controller. The operator's commands filter
through a piecewise continuous function, called smoother, to
produce smoothed commands. Smoothed commands move flexible dynamic
systems toward desired positions with minimal oscillations. Five
types of command smoother were reported including one-piece,
two-pieces, three-pieces, and four-pieces smoothers, and the
smoother for multi-mode Duffing oscillators. All smoothers are
robust to changes in the system parameters and working conditions.
The command smoothing technique has been successfully applied to
industrial cranes, sloshing suppression, flexible manipulators,
high-speed cam and follower systems, and helicopter slung loads.
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