6533b859fe1ef96bd12b82e0

RESEARCH PRODUCT

Optimal design of complex passive-damping systems for vibration control of large structures: An energy-to-peak approach

Josep M. RossellHamid Reza KarimiFrancisco Palacios-qui NoneroJosep Rubió-massegú

subject

Optimal designOptimization problemArticle Subject:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]Vibration controlEdificis -- Vibració:Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC]Design strategyFeedback control systemsAnalysis; Applied MathematicsVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411DamperControl d'estructures (Enginyeria):93 Systems Theory; Control [Classificació AMS]Control theoryRobustness (computer science)ControlBuildings -- VibrationMathematics:93 Systems Theory [Classificació AMS]lcsh:MathematicsApplied MathematicsLinear matrix inequalitylcsh:QA1-939Sistemes de control per retroaccióBuildings--VibrationSeismic protectionStructural control (Engineering)Analysis

description

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 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.

10.1155/2014/510236http://hdl.handle.net/11311/1028638