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- Title
Nonlinear MPC: the Impact of Sampling on Closed Loop Stability.
- Authors
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank
- Abstract
In this paper we consider model predictive control (MPC) schemes without stabilizing terminal constraints and/or costs for continuous time systems. While the estimates on the required prediction horizon length such that asymptotic stability of the MPC closed loop is guaranteed yield, in general, satisfactory results their applicability is limited due to the fact that the respective proofs assume that the input function can be switched arbitrarily often on compact time intervals. We present a technique which allows to determine a suitable discretization accuracy such that the obtained performance bound is preserved while the control signal is only switched at the sampling instants of the corresponding sampled data system. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Subjects
ASYMPTOTIC efficiencies; LOOP spaces; DISCRETIZATION methods; CONSTRAINTS (Physics); DATA
- Publication
PAMM: Proceedings in Applied Mathematics & Mechanics, 2014, Vol 14, Issue 1, p911
- ISSN
1617-7061
- Publication type
Article
- DOI
10.1002/pamm.201410436