Decentralized static output‐feedback H∞ controller design for buildings under seismic excitation

SUMMARY In this work, we present a new method in designing static output‐feedback H∞ controllers suitable for vibrational control of buildings under seismic excitation. The method produces a Linear Matrix Inequality (LMI) formulation that allows obtaining static output‐feedback controllers with different information structure constraints by imposing a convenient zero–nonzero structure on the LMI variables. The application of the proposed methodology is illustrated by designing centralized and decentralized velocity‐feedback H∞ controllers to mitigate the seismic response of a five‐story building.