Abstract
Abstract The modeling and formulation of simultaneous optimization problems with H2 and H∞ norm objective functions are discussed in the paper. They are applied to the simultaneous optimization of the cross-sectional parameters of a spring-supported beam and the parameters of the controller used to actively suppress the vibration of the beam. The H2 and H∞ norms of the transfer function from external disturbance to measured output are used as the objective functions. Simultaneous optimization is realized by iteratively executing structural optimization and controller optimization. Both serial and parallel approaches to combine structural optimization and controller optimization are investigated. The performance of both output and control input is improved significantly after simultaneous optimization. The simulation results show the great potential advantages of simultaneous optimization over traditional design methods.
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