Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download

https://hal.inria.fr/hal-00942897
Contributor : Estelle Bouzat <>
Submitted on : Thursday, February 6, 2014 - 4:36:56 PM
Last modification on : Friday, November 9, 2018 - 11:50:09 AM
Long-term archiving on: : Monday, May 12, 2014 - 11:31:28 AM

File

Boccia_et_al_feasibility_2013....
Files produced by the author(s)

Identifiers

Collections

Citation

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

Share

Metrics

Record views

613

Files downloads

1635