AN LMI APPROACH TO H-INFINITY-CONTROL OF TIME-DELAY SYSTEMS FOR THE BENCHMARK PROBLEM

In this paper, three H-infinity-control design methods are developed a nd applied to a three-storey building with an active mass damper as a control mechanism. The system of equations of the structural system, i ncluding the actuator and sensors, has been developed directly from ex perimentally derived data which forms the basis of the benchmark study discussed in this paper. The building plus the damper are modelled as a nominally linear system with input as well as state delays. Feedbac k control synthesis are first performed by using either of the two for ms; the first is a pure state feedback and the other is a static outpu t feedback. The analytical results are cast into a Linear Matrix Inequ ality (LMI) framework which can be solved numerically by efficient int erior-point methods. The developed system is subjected to two historic al earthquake excitation inputs (ElCentro and Hachinohe) and to the Ka nai-Tajimi filter. The response is given in the form of indices in ord er to compare with other solutions of the benchmark problem. In additi on, simulation results pertinent to the developed techniques are prese nted. (C) 1998 John Wiley & Sons, Ltd.