INTEGRATED STRUCTURAL DESIGN AND VIBRATION SUPPRESSION USING INDEPENDENT MODAL SPACE CONTROL

The integrated design of a structure and its control system is treated as a multiobjective optimization problem. Structural mass and a quadr atic performance index constitute the vector objective function. The c losed-loop performance index is taken as the time integral of the Hami ltonian. Constraints on natural frequencies, closed-loop damping, and actuator forces are also considered. Derivatives of the objective and constraint functions with respect to structural and control design var iables are derived for a finite element beam model of the structure an d constant feedback gains determined by independent modal space contro l. Pareto optimal designs generated for a simple beam demonstrate the benefit of solving the integrated structural and control optimization problem.