An approach for integrated optimum design of a structure and H{sup}∞ control system using a genetic algorithm is proposed. The size and shape of the structure, and the sites at which the sensors and the actuators are set are adopted as the design variables. Since the sensors and the actuators are placed only on the nodes of the finite-element model in this study, the design variables are discrete. Therefore, in order to solve this problem, a genetic algorithm is used as the optimization technique. The approach is applied to vibration control of a planar plate. A frequency weighting function and mode weighting coefficient are used in the H{sup}∞ control problem. The mode weighting coefficient enables control of multiple natural modes without increasing the order of the controller. Effectiveness and practicability of the approach are verified by both simulation and experiment.
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