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Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach

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  • Francisco Palacios-Quiñonero
  • Josep Rubió-Massegú
  • Josep M. Rossell
  • Hamid Reza Karimi

Abstract

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.

Suggested Citation

  • Francisco Palacios-Quiñonero & Josep Rubió-Massegú & Josep M. Rossell & Hamid Reza Karimi, 2014. "Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, June.
    • Handle: RePEc:hin:jnlaaa:510236
    DOI: 10.1155/2014/510236
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