Numerical ISS controller design via a dynamic game approach

L. Grüne, M. Sigurani: Numerical ISS controller design via a dynamic game approach
in: Proceedings of the 52nd IEEE Conference on Decision and Control - CDC 2013, 2013, 1732 - 1737

Keywords: game theory, stabilization of nonlinear systems, input-to-state stability
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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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