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A procedure for sequential design of decentralised FACTS controllers for multimachine power systems is presented. It is shown how to include a simple estimate of the effects of closing subsequent loops into the design problem for the loop to be closed. The focus of the paper is on the design performance where frequency-domain methods prove to be very useful. A comprehensive and systematic way of designing decentralised controllers is presented and the results are illustrated using a 16-machine 5-area system. The methodology to select the input signal used for supplementary control of FACTS devices in large power systems is also addressed.