6533b7d0fe1ef96bd125a1fd
RESEARCH PRODUCT
An LMI approach to vibration control of base-isolated building structures with delayed measurements
Ningsu LuoHamid Reza KarimiMauricio Zapateirosubject
Lyapunov functionEngineeringbusiness.industryVibration controlLinear matrix inequalityControl engineeringComputer Science ApplicationsTheoretical Computer Sciencesymbols.namesakeH-infinity methods in control theoryVibration isolationExponential stabilityControl and Systems EngineeringControl theorysymbolsbusinessReduction (mathematics)description
In this article, we address a convex optimisation approach to the problem of state-feedback H∞ control design for vibration reduction of base-isolated building structures with delayed measurements, where the delays are time-varying and bounded. An appropriate Lyapunov-Krasovskii functional and some free-weighting matrices are utilised to establish some delay-range-dependent sufficient conditions for the design of desired controllers in terms of linear matrix inequalities. The controller, which guarantees asymptotic stability and an H∞ performance, simultaneously, for the closed-loop system of the structure, is then developed. The performance of the controller is evaluated by means of simulations in MATLAB/Simulink.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-12-01 | International Journal of Systems Science |