Robust Stability of Iterative Learning Control Schemes

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Description/Abstract

A notion of robust stability is developed for iterative learning control in the context of disturbance attenuation. The size of the unmodelled dynamics is captured via a gap distance, which in turn is related to the standard ${\cal H}^2$ gap metric, and the resulting robustness certificate is qualitatively equivalent to that obtained in classical robust ${\cal H}^\infty$ theory. A bound on the robust stability margin for a specific adaptive ILC design is established.