Generating Command Inputs to Eliminate Residual Vibration via Direct Optimization and Quadratic Programming Techniques Available to Purchase

This paper deals with the construction of optimal command inputs to eliminate residual vibration in a flexible structure with single and multiple modes as well. First, the time-optimal command inputs are generated by direct parametric optimization with Lagrangian multipliers. Next, the command input is generated in the form of a sequence of step commands via the method of quadratic programming in which the sum of squares of step commands is minimized. The results from numerical simulations are presented.