Stability and feasibility of state constrained MPC without stabilizing terminal constraints

URN to cite this document: urn:nbn:de:bvb:703-epub-1877-5

Title data

Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state constrained MPC without stabilizing terminal constraints.
Department of Mathematics, University of Bayreuth
Bayreuth , 2014 . - 24 S.

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	Format: Other (MATLAB M-File for Example 14 in the paper) Name: mpc_ExampleBGW.m Version: Accepted Version Available under License German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.
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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
Project financing:	Andere European Union "FP7-People-ITN" programme

Abstract

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.

Further data

Item Type:	Preprint, postprint
Additional notes (visible to public):	erscheint in: Systems & Control Letters. Bd. 72 (Oktober 2014) . - S. 14-21. ISSN 1872-7956 DOI: https://doi.org/10.1016/j.sysconle.2014.08.002
Keywords:	model predictive control; stability; recursive feasibility
Subject classification:	Mathematics Subject Classification Code: 49M20 (93B40)
DDC Subjects:	500 Science > 510 Mathematics
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-1877-5
Date Deposited:	10 Feb 2015 10:53
Last Modified:	01 Jun 2021 07:52
URI:	https://epub.uni-bayreuth.de/id/eprint/1877

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