| Summary: | In vibration control of compound structures, inter-substructure damper (ISSD) systems<br />exploit the out-of-phase response of different substructures to dissipate the kinetic vibrational<br />energy by means of inter-substructure damping links. For seismic protection of multistory buildings,<br />distributed sets of interstory fluid viscous dampers (FVDs) are ISSD systems of particular interest.<br />The connections between distributed FVD systems and decentralized static output-feedback<br />control allow using advanced controller-design methodologies to obtain passive ISSD systems<br />with high-performance characteristics. A major issue of that approach is the computational<br />difficulties associated to the numerical solution of optimization problems with structured bilinear<br />matrix inequality constraints. In this work, we present a novel iterative linear matrix inequality<br />procedure that can be applied to obtain enhanced suboptimal solutions for that kind of optimization<br />problems. To demonstrate the effectiveness of the proposed methodology, we design a system of<br />supplementary interstory FVDs for the seismic protection of a five-story building by synthesizing a<br />decentralized static velocity-feedback H¥ controller. In the performance assessment, we compare the<br />frequency-domain and time-domain responses of the designed FVD system with the behavior of the<br />optimal static state-feedback H¥ controller. The obtained results indicate that the proposed approach<br />allows designing passive ISSD systems that are capable to match the level of performance attained by<br />optimal state-feedback active controllers.
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