6533b871fe1ef96bd12d1894

RESEARCH PRODUCT

Vibration control of base-isolated structures using mixed H2/H∞ output-feedback control

Ningsu LuoM ZapateiroH R Karimi

subject

Lyapunov functionEngineeringbusiness.industryMechanical EngineeringLinear systemVibration controlVibrationsymbols.namesakeExponential stabilityControl and Systems EngineeringControl theorysymbolsMATLABbusinessReduction (mathematics)computercomputer.programming_language

description

A mixed H2/ H∞ output-feedback control design methodology for vibration reduction of base-isolated building structures modelled in the form of second-order linear systems is presented. Sufficient conditions for the design of a desired control are given in terms of linear matrix inequalities. A controller that guarantees asymptotic stability and a mixed H2/ H∞ performance for the closed-loop system of the structure is developed, based on a Lyapunov function. The performance of the controller is evaluated by means of simulations in MATLAB/Simulink.

https://doi.org/10.1243/09596518jsce730