at Google ScholarTitle data
Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state constrained MPC without stabilizing terminal constraints.
In: Systems & Control Letters.
Vol. 72
(2014)
.
- pp. 14-21.
ISSN 1872-7956
DOI: https://doi.org/10.1016/j.sysconle.2014.08.002
| Review: |
This is the latest version of this item.
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Project information
| Project title: |
Project's official title Project's id Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735-SADCO DFG Grant GR1569/12-2 |
|---|---|
| Project financing: |
Andere European Union "FP7-People-ITN" programme; Deutsche Forschungsgemeinschaft |
Abstract in another language
In this paper we investigate stability and recursive feasibility of a nonlinear receding horizon control scheme without terminal constraints and costs but imposing state and control constraints. Under a local controllability assumption we show that every level set of the infinite horizon optimal value function is contained in the basin of attraction of the asymptotically stable equilibrium for suciently large optimization horizon N. For stabilizable linear systems we show the same for any compact subset of the interior of the viability kernel. Moreover, estimates for the necessary horizon length N are given via an analysis of the optimal value function at the boundary of the viability kernel.
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Stability and feasibility of state constrained MPC without stabilizing terminal constraints. (deposited 14 Feb 2015 22:00)
- Stability and feasibility of state constrained MPC without stabilizing terminal constraints. (deposited 09 Mar 2015 14:58) [Currently Displayed]