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Erschienen in:
2010 | OriginalPaper | Buchkapitel
NMPC Suboptimality Estimates for Sampled–Data Continuous Systems
verfasst von : Lars Grüne, Marcus von Lossow, Karl Worthmann
Erschienen in: Recent Advances in Optimization and its Applications in Engineering
Verlag: Springer Berlin Heidelberg
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In this paper we consider unconstrained model predictive control (MPC) schemes and investigate known stability and performance estimates with respect to their applicability in the context of sampled–data systems. To this end, we show that these estimates become rather conservative for sampling periods tending to zero which is, however, typically required for sampled–data systems in order to inherit the stability behavior of their continuous–time counterparts. We introduce a growth condition which allows for incorporating continuity properties in the MPC performance analysis and illustrate its impact – especially for fast sampling.