Optimal design of complex passive-damping systems for vibration control of large structures: An energy-to-peak approach
Journal article, Peer reviewed
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Original versionPalacios-Quiñonero, F., Rubió-Massegú, J., Rossell, J. M., & Karimi, H. R. (2014). Optimal design of complex passive-damping systems for vibration control of large structures: An energy-to-peak approach. Abstract and Applied Analysis, 2014, 1-9. doi: 10.1155/2014/510236 10.1155/2014/510236
We present a new design strategy that makes it possible to synthesize decentralized output-feedback controllers by solving two successive optimization problems with linear matrix inequality (LMI) constraints. In the initial LMI optimization problem, two auxiliary elements are computed: a standard state-feedback controller, which can be taken as a reference in the performance assessment, and a matrix that facilitates a proper definition of the main LMI optimization problem. Next, by solving the second optimization problem, the output-feedback controller is obtained. The proposed strategy extends recent results in static output-feedback control and can be applied to design complex passive-damping systems for vibrational control of large structures. More precisely, by taking advantages of the existing link between fully decentralized velocity-feedback controllers and passive linear dampers, advanced active feedback control strategies can be used to design complex passive-damping systems, which combine the simplicity and robustness of passive control systems with the efficiency of active feedback control. To demonstrate the effectiveness of the proposed approach, a passive-damping system for the seismic protection of a five-story building is designed with excellent results.
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/510236 Open Access