A Novel Iterative Linear Matrix Inequality DesignProcedure for Passive Inter-SubstructureVibration Control

Applied Sciences

卷:10

Francisco Palacios-Quiñonero¹  Josep M. Rossell¹  Josep Rubió-Massegú¹  Hamid Reza Karimi² 

[1] Department of Mathematics, Universitat Politècnica de Catalunya, EPSEM, Av. Bases de Manresa 61–73,08242 Manresa, Spain;

[2] Department of Mechanical Engineering, Politecnico di Milano, via La Masa 1, 20156 Milan, Italy;

关键词: passive vibration control;    fluid viscous dampers;    static output-feedback control;    decentralized control;    iterative linear matrix inequalities;    interstory damping systems;   

DOI  :  10.3390/app10175859

来源: DOAJ

【 摘 要 】

In vibration control of compound structures, inter-substructure damper (ISSD) systems
exploit the out-of-phase response of different substructures to dissipate the kinetic vibrational
energy 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-feedback
control allow using advanced controller-design methodologies to obtain passive ISSD systems
with high-performance characteristics. A major issue of that approach is the computational
difficulties associated to the numerical solution of optimization problems with structured bilinear
matrix inequality constraints. In this work, we present a novel iterative linear matrix inequality
procedure that can be applied to obtain enhanced suboptimal solutions for that kind of optimization
problems. To demonstrate the effectiveness of the proposed methodology, we design a system of
supplementary interstory FVDs for the seismic protection of a five-story building by synthesizing a
decentralized static velocity-feedback H¥ controller. In the performance assessment, we compare the
frequency-domain and time-domain responses of the designed FVD system with the behavior of the
optimal static state-feedback H¥ controller. The obtained results indicate that the proposed approach
allows designing passive ISSD systems that are capable to match the level of performance attained by
optimal state-feedback active controllers.

【 授权许可】

Unknown