Mathematics – Optimization and Control
Scientific paper
2012-03-30
Mathematics
Optimization and Control
7 pages, 4 figures
Scientific paper
For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical formula which can be employed in order to determine a prediction horizon length for which asymptotic stability or a performance guarantee is ensured. Based on this formula a sensitivity analysis with respect to the prediction and the possibly time varying control horizon is carried out.
Grüne Lars
Pannek Jürgen
Seehafer Martin
Worthmann Karl
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