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Numerical ISS controller design via a dynamic game approach

Abstract : We present a numerical design method for an input-to-state practically stabilizing (ISpS) feedback controller for perturbed discrete time nonlinear control systems. By appropriately scaling the system, the problem of ISpS controller design can be converted into a uniform practical stabilization problem under perturbations which can be solved by a numerical dynamic game approach. We present and analyze this approach with a particular focus on a quantitative analysis of the resulting gain and the size of the exceptional region for practical stability.
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Lars Grüne, Manuela Sigurani. Numerical ISS controller design via a dynamic game approach. 52nd IEEE Control and Decision Conference (CDC), 2013, Florence, Italy. pp.1732 - 1737, ⟨10.1109/CDC.2013.6760132⟩. ⟨hal-00944381⟩

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