Numerical ISS controller design via a dynamic game approach

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.