Constrained Control of Uncertain, Time-varying Linear Discrete-Time Systems Subject to Bounded Disturbances

Abstract : The aim of this paper is twofold. In the first part, robust invariance for ellipsoidal sets with respect to uncertain and/or time-varying linear discrete-time systems with bounded additive disturbances is revisited. We provide an extension of an existing invariance condition. In the second part a novel robust interpolation based control design involving several local unconstrained robust optimal controls is proposed. At each time instant a quadratic programming problem is solved on-line. Proofs of recursive feasibility and input-to-state stability are given.
Document type :
Journal articles
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download

https://hal-supelec.archives-ouvertes.fr/hal-01257659
Contributor : Sorin Olaru <>
Submitted on : Tuesday, January 19, 2016 - 9:55:13 AM
Last modification on : Wednesday, December 4, 2019 - 12:18:01 PM
Long-term archiving on: Wednesday, April 20, 2016 - 10:22:27 AM

File

tac.pdf
Files produced by the author(s)

Identifiers

Citation

Hoaï-Nam Nguyen, Sorin Olaru, Per-Olof Gutman, Morten Hovd. Constrained Control of Uncertain, Time-varying Linear Discrete-Time Systems Subject to Bounded Disturbances. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2015, 60 (3), pp.831-836. ⟨10.1109/TAC.2014.2346872⟩. ⟨hal-01257659⟩

Share

Metrics

Record views

494

Files downloads

357