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 quadratic performance index constitute the vector objective function. The closed-loop performance index is taken as the time integral of the Hamiltonian. 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 variables are derived for a finite element beam model of the structure and constant feedback gains determined by independent modal space control. Pareto optimal designs generated for a simple beam demonstrate the benefit of solving the integrated structural and control optimization problem.