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Robust control design with overlapping decomposition and multirate controller

This paper considers robust control design for large-scale uncertain systems with state, input and output overlapping decompositions. The extension principle, which is a generalized notion of overlapping decomposition, is investigated from a robust control viewpoint. It is shown that if a controller designed for the expanded system achieves robustness in the expanded spaces, then the contracted controller achieves required robustness of the original system. This paper also defines and develops a framework of the extension principle for multirate control systems with hybrid signals. An approach to robust performance design with the overlapping multirate control is proposed.