Stability and Feasibility of State Constrained MPC without Stabilizing Terminal Constraints - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Systems and Control Letters Year : 2014

Stability and Feasibility of State Constrained MPC without Stabilizing Terminal Constraints

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 sufficiently 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.
Fichier principal
Vignette du fichier
Boccia_et_al_feasibility_2013.pdf (239.43 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00942897 , version 1 (06-02-2014)

Identifiers

Cite

Andrea Boccia, Lars Grüne, Karl Worthmann. Stability and Feasibility of State Constrained MPC without Stabilizing Terminal Constraints. Systems and Control Letters, 2014, 72, pp.14-21. ⟨10.1016/j.sysconle.2014.08.002⟩. ⟨hal-00942897⟩
185 View
1475 Download

Altmetric

Share

Gmail Facebook X LinkedIn More