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-infinity
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
CitationReza, H. [et al.]. Feedback vibration control of a base-isolated building with delayed measurements using H-infinity techniques. A: American Control Conference. "2010 American Control Conference". Baltimore, Maryland: 2010, p. 750-755.
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