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

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 st...

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Bibliographic Details
Published in:Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 801 - 809-780
Main Authors: Palacios-Quiñonero, Francisco, Rubió-Massegú, Josep, Rossell, Josep M., Karimi, Hamid Reza
Format: Journal Article Publication
Language:English
Published: Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
93 Systems Theory; Control
Algorithms
Automàtica i control
Buildings
Classificació AMS
Control d'estructures (Enginyeria)
Control systems
Controllers
Design
Edificis
Engineering design
Enginyeria civil
Feedback control systems
Inequalities (Mathematics)
Informàtica
Materials i estructures
Mathematical models
Methods
Process controls
Sistemes de control per retroacció
Structural control (Engineering)
Vibració
Vibration
Àrees temàtiques de la UPC
ISSN:1085-3375, 1687-0409
Online Access:Get full text
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Summary: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.
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ISSN:1085-3375
1687-0409
DOI:10.1155/2014/510236