Feedback vibration control of a base-isolated building with delayed measurements using h∞ techniques
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OriginalversjonKarimi, H. R., Zapateiro, M., Luo, N., & Rossell, J. M. (2010). Feedback vibration control of a base-isolated building with delayed measurements using h∞ techniques. Paper presented at the 2010 American Control Conference Baltimore.
n 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.
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