Guidance Preconditioning by an Impulse Sequence for Robust Residual Vibration Suppression

Abstract

In order to suppress residual vibrations, a general method is presented for preconditioning any guidance function prior to its application to a dynamic system, by convolving it with a sequence of impulses. The approach includes first the development of the necessary design specifications for the impulse sequence, so that the robustness properties cover the widest possible variation of the system natural frequencies. Three solution methods are proposed then, with special emphasis in the achievement of the minimum possible duration time of the impulse sequence. Numerical experiments verify the effectiveness of the robustness, not only with respect to variations of the natural frequency, but also with respect to variations of a range of other linear and non-linear variables.

Robust Residual Vibration Suppression for Linear Time Invariant Systems by Digital Filtering of the Guidance Function

“…In a "rst attempt to overcome the above shortfalls [16], a general approach for the impulse sequence convolution procedure has been proposed, leading "nally to a set of three di!erent methods for the proper design of the impulse sequence. This study signi"cantly extends the impulse sequence approach, by establishing an appropriate framework, according to which the design of an appropriate guidance function can be transformed to a problem of a proper design of a digital "lter.…”