Title data
Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of stateconstrained linear MPC without stabilizing terminal constraints.
In:
MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 711, 2014, University of Groningen. 
Groningen
,
2014
.  pp. 453460
ISBN 9789036763219
This is the latest version of this item.
Related URLs
Project information
Project title: 
Project's official title Project's id MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO) 264735SADCO DFG Grant GR1569/122 

Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union Deutsche Forschungsgemeinschaft 
Abstract in another language
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.
Further data
Item Type:  Article in a book 

Refereed:  Yes 
Additional notes:  Paper No. 105, full paper. 
Keywords:  model predictive control; stability; recursive feasibility 
Institutions of the University:  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 > Advanced Fields > Nonlinear Dynamics 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) Profile Fields Profile Fields > Advanced Fields 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  19 Mar 2015 10:27 
Last Modified:  09 Jan 2024 13:29 
URI:  https://eref.unibayreuth.de/id/eprint/8419 
Available Versions of this Item

Stability and feasibility of stateconstrained linear MPC without stabilizing terminal constraints. (deposited 14 Mar 2015 22:00)
 Stability and feasibility of stateconstrained linear MPC without stabilizing terminal constraints. (deposited 19 Mar 2015 10:27) [Currently Displayed]