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Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints.
In:
MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, University of Groningen. -
Groningen
,
2014
. - S. 453-460
ISBN 978-90-367-6321-9
Dies ist die aktuelle Version des Eintrags.
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| Projekttitel: |
Offizieller Projekttitel Projekt-ID DFG Grant GR1569/12-2 SADCO - Sensitivity Analysis for Deterministic Controller Design 264735 |
|---|---|
| Projektfinanzierung: |
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft Marie-Curie Initial Training Network |
Abstract
This paper is concerned with stability and recursive feasibility of constrained linear receding horizon control schemes without terminal constraints and costs. Particular attention is paid to characterize the basin of attraction S of the asymptotically stable equilibrium. For stabilizable linear systems with quadratic costs and convex constraints we show that any compact subset of the interior of the viability kernel is contained in S for sufficiently large optimization horizon N. An analysis at the boundary of the viability kernel provides a connection between the growth of the infinite horizon optimal value function and stationarity of the feasible sets. Several examples are provided which illustrate the results obtained.
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Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints. (deposited 14 Mär 2015 22:00)
- Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints. (deposited 19 Mär 2015 10:27) [Aktuelle Anzeige]