The existence of the Gibbs effect during control of flexible structures is investigated. It is shown that, due either to the choice of the actuation mechanisms as point or piecewise-ontinuous components or to the time history of the external excitation, discontinuities may exist in the spatial and temporal profiles of the control input. A spatial eigenfunction expansion of the control profile and a Fourier series expansion of the temporal behavior indicate the Gibbs effect. The existence of a Gibbs effect results in the excitation of the residual dynamics with higher amplitudes and in the generation of undesirable motion. The extent to which discrete actuation mechanisms such as point forces, piecewise-continuous forces, and point torquers excite the residual dynamics is compared.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics