Numerical event-based ISS controller design via a dynamic game approach

Titelangaben

Grüne, Lars ; Sigurani, Manuela:
Numerical event-based ISS controller design via a dynamic game approach.
In: Journal of Computational Dynamics. Bd. 2 (2015) Heft 1 . - S. 65-81.
ISSN 2158-2491
DOI: https://doi.org/10.3934/jcd.2015.2.65

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Abstract

We present an event-based numerical design method for a input-to-state practically stabilizing (ISpS) state feedback controller for perturbed nonlinear discrete time systems. The controllers are designed to be constant on quantization regions which are not assumed to be small. A transition of the state from one quantization region to another triggers an event upon which the control value changes.

The controller construction relies on the conversion of the ISS design problem into a robust controller design problem which is solved by a set oriented discretization technique followed by the solution of a dynamic game on a hypergraph. 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 in an event-based setting.