Hardware demonstration of flexible beam control

Perturbation Techniques for Flexible Manipulators

“…Much of the early work on the interaction of flexible and rigid-body dynamics was performed on flexible mechanisms [23,41,50,61,80,81,86,87,94] and the use of component modes to simplify the dynamics formulation was first developed in the study of flexible structures [18,19,20,21,92]. It is notable that, although the effects of loading and dynamics on the vibration characteristics of flexible mechanisms have been well studied [11,31,65,67,78]' this work has yet to be applied to flexible manipulators.…”

Spatial Filtering for the Control of Smart Structures

“…A more appropriate but somewhat weaker requirement would be one which sought to minimize the integrated mean square error between the actual and approximated profiles over the domain x ∈ D. This so-called limit in the mean criterion when practically applied reduces to a representation determined by finding the coefficients c i that minimize this error in accordance with [52][53][54] and Eq. (6.4).…”

<title>Comparison of analog and digital strategies for automatic vibration control of lightweight space structures</title>

“…For state estimation, the steady-state prediction type Kalman filter was selected. This filter has the form L((k+1)T) = (G -K e C ) £(kT) + H u(kT) + K e y(kT) (7) and we can determine the matrix Ke such that the mean square error is minimum by solving another Riccati …”