Abstract
This paper proposes a simple robust control method for controlling the multi modes of vibration m the flexible main tower of large bridges. For preventing spillover caused by neglected higher modes, the lumped mass modeling method using uncontrollability and unobservability at nodes of vibration modes is used, and also LQ control theory included with a frequency shaping filter (call Filtered LQ control) is applied. In order to control the first four vibration modes of a scaled main tower structure, 4 DOF model is constructed. It is demonstrated by both simulation and experiment that these four vbration modes are well controlled without spillover instability.
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