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Construction of event-based ISS controllers on coarse quantizations

Abstract : We consider the construction of event-based input-to-state stabilizing state feedback controllers for perturbed nonlinear discrete time systems. The controllers are designed to be constant on possibly coarse quantization regions. An event is triggered upon every transition of the state from one quantization region to another. The practical contribution of the paper is an algorithmic design approach based on game theoretic ideas, feasible for low dimensional systems. The theoretical contribution consists of a novel piecewise constant event-based ISS Lyapunov function concept which is consistent with the imposed quantization.
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https://hal.inria.fr/hal-01101231
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Submitted on : Thursday, January 8, 2015 - 10:57:13 AM
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Lars Grüne, Manuela Sigurani. Construction of event-based ISS controllers on coarse quantizations. CDC 2014 - 53rd IEEE Conference on Decision and Control, Dec 2014, Los Angeles, United States. ⟨hal-01101231⟩

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