Clipped optimal control is a widely used semi-active control strategy applied to reduce vibrations of a broad variety of structures. In this paper we investigate a two storey building example with a single semi-active damper mounted between the base and the first storey. The control objective is to minimise the storey drift during base vibration excitation of the structure. The clipped-optimal control technique is widely used in the design of the semi-active control of dampers, typically in recent studies by using magneto-rheological (MR) dampers. The aim of this study was to design a clipped semi-active control strategy based on a passivity constraint, whilst maintaining effective control of the structure. Results are shown using numerical simulations and illustrated by means of power-phase plane representations.
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