Title data
Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of stateconstrained linear MPC without stabilizing terminal constraints.
Department of Mathematics, University of Bayreuth
Bayreuth
,
2014
.  8 p.
There is a more recent version of this item available. 
Project information
Project title: 


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 X 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 X 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:  Preprint, postprint, working paper, discussion paper 

Refereed:  No 
Keywords:  model predictive control; stability; recursive feasibility 
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) > Chair Mathematics V (Applied Mathematics)  Univ.Prof. Dr. Lars Grüne) Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) 
Result of work at the UBT:  Yes 
DDC Subjects:  500 Science > 510 Mathematics 
Date Deposited:  14 Mar 2015 22:00 
Last Modified:  16 Mar 2015 09:38 
URI:  https://eref.unibayreuth.de/id/eprint/8380 
Available Versions of this Item
 Stability and feasibility of stateconstrained linear MPC without stabilizing terminal constraints. (deposited 14 Mar 2015 22:00) [Currently Displayed]