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An LMI approach to vibration control of base-isolated building structures with delayed measurements. (English) Zbl 1206.93050
Summary: 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. A 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.
MSC:
93C15Control systems governed by ODE
93B36H -control
93D30Scalar and vector Lyapunov functions
93B52Feedback control
70Q05Control of mechanical systems (general mechanics)
70K99Nonlinear dynamics (general mechanics)
Software:
Matlab; Simulink