Parameterization of all stabilizing Hinfinity static state-feedback gains: Application to output-feedback design

This paper presents a simplified parameterization of all H∞ static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an static output-feedback gain are given. An efficient computational algorithm is given and its correctness proven. No initial stabilizing output-feedback gain is needed. The technique is used to design an H∞ lateral-directional command augmentation system for the F-16 aircraft.

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