Feedback vibration control of a base-isolated building with delayed measurements using h∞ techniques
Conference object, Peer reviewed
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Original versionKarimi, 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.
Published version of a paper presented at the American Control Conference (ACC), 2010. (c) 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works