Jl. Crassidis et al., ROBUST IDENTIFICATION AND VIBRATION SUPPRESSION OF A FLEXIBLE STRUCTURE, Journal of guidance, control, and dynamics, 17(5), 1994, pp. 921-928
A robust vibration suppression design involving the use of H-infinity
optimal control theory is studied for a complex flexible structure. Th
e digital control architecture involves noncollocated feedback utilizi
ng active piezoceramic actuators and position sensor data. The modal p
roperties of the multi-input, multi-output structure are first determi
ned from experimental data in order to obtain an identified state-spac
e model. This model forms the basis for the H-infinity vibration suppr
ession design. Performance specifications are developed that obtain ad
equate damping in the structure while maintaining controller integrity
without the destabilization of higher modes. A controller optimized f
or these H-infinity performance specifications is implemented on the a
ctual test structure. Experimental structural perturbations are also e
xamined in order to determine the robustness of the vibration suppress
ion design. The experimental study indicates that the H-infinity desig
n substantially increases damping in the targeted frequency region and
conforms to predicted analytical simulations.