A Novel Iterative Linear Matrix Inequality Design Procedure for Passive Inter-Substructure Vibration Control

Autor: Josep Rubió-Massegú, Hamid Reza Karimi, Francisco Palacios-Quiñonero, Josep M. Rossell
Přispěvatelé: Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Optimization problem
Informàtica::Automàtica i control [Àrees temàtiques de la UPC]
Computer science
Edificis -- Vibracio
0211 other engineering and technologies
fluid viscous dampers
020101 civil engineering
Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC]
02 engineering and technology
Passive vibration control
Fluid viscous dampers
Matrius (Matemàtica)
lcsh:Technology
Seismic protection
0201 civil engineering
Damper
lcsh:Chemistry
interstory damping systems
General Materials Science
Instrumentation
lcsh:QH301-705.5
Fluid Flow and Transfer Processes
93 Systems Theory [Classificació AMS]
Buildings -- Protection
General Engineering
lcsh:QC1-999
Computer Science Applications
iterative linear matrix inequalities
decentralized control
Decentralized control
Iterative linear matrix inequalities
Vibration control
Control d'estructures (Enginyeria)
93 Systems Theory
Control [Classificació AMS]
Control theory
Control
Buildings -- Vibration
Matrix inequalities
Interstory damping systems
021110 strategic
defence & security studies
lcsh:T
Process Chemistry and Technology
Work (physics)
Linear matrix inequality
Edificis -- Protecció
Decentralised system
lcsh:Biology (General)
lcsh:QD1-999
lcsh:TA1-2040
static output-feedback control
Substructure
Structural control (Engineering)
passive vibration control
lcsh:Engineering (General). Civil engineering (General)
Static output-feedback control
lcsh:Physics
Zdroj: Applied Sciences, Vol 10, Iss 5859, p 5859 (2020)
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Applied Sciences
Volume 10
Issue 17
ISSN: 2076-3417
Popis: In vibration control of compound structures, inter-substructure damper (ISSD) systemsexploit the out-of-phase response of different substructures to dissipate the kinetic vibrationalenergy by means of inter-substructure damping links. For seismic protection of multistory buildings,distributed sets of interstory fluid viscous dampers (FVDs) are ISSD systems of particular interest.The connections between distributed FVD systems and decentralized static output-feedbackcontrol allow using advanced controller-design methodologies to obtain passive ISSD systemswith high-performance characteristics. A major issue of that approach is the computationaldifficulties associated to the numerical solution of optimization problems with structured bilinearmatrix inequality constraints. In this work, we present a novel iterative linear matrix inequalityprocedure that can be applied to obtain enhanced suboptimal solutions for that kind of optimizationproblems. To demonstrate the effectiveness of the proposed methodology, we design a system ofsupplementary interstory FVDs for the seismic protection of a five-story building by synthesizing adecentralized static velocity-feedback H¥
controller. In the performance assessment, we compare thefrequency-domain and time-domain responses of the designed FVD system with the behavior of theoptimal static state-feedback H¥
controller. The obtained results indicate that the proposed approachallows designing passive ISSD systems that are capable to match the level of performance attained byoptimal state-feedback active controllers.
Databáze: OpenAIRE
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