In this paper, we present a novel Iterative Linear Matrix Inequality (ILMI) strategy for controller design that makes it possible to compute suboptimal H ∞ static output-feedback (SOF) controllers with high-performance characteristics.The obtained SOF controllers can be effective in reducing the vibrational response of multi-degree-of-freedom structures subjected to broad-band excitations.To demonstrate the effectiveness of the proposed methodology, a SOF controller is designed for the seismic protection of a multi-actuated five-story shear-frame structure with positive results.
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