6533b826fe1ef96bd1283b69
RESEARCH PRODUCT
Feedback vibration control of a base-isolated building with delayed measurements using h<inf>&#x221E;</inf> techniques
Ningsu LuoJosep M. RossellHamid Reza KarimiMauricio Zapateirosubject
VibrationReduction (complexity)Exponential stabilityControl theoryBounded functionConvex optimizationVibration controlWeightingMathematicsdescription
In this paper we address the problem of vibration reduction of buildings with delayed measurements, where the delays are time-varying and bounded. We focus on a convex optimization approach to the problem of state-feedback H ∞ control design. An appropriate Lyapunov-Krasovskii functional and some free weighting matrices are used to establish some delay-range-dependent sufficient conditions for the design of desired controllers in terms of linear matrix inequalities (LMIs). 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 through the simulation of an n-story base-isolated building.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-06-01 | Proceedings of the 2010 American Control Conference |