Robust stability analysis of discrete-time systems with parametric and switching uncertainties

D. Peaucelle, Y. Ebihara

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Robust stability analysis is investigated for discrete-time linear systems with rational dependency with respect to polytopic type uncertainties. Two type of uncertainties are considered: constant parametric uncertainties and time-varying switching uncertainties. Results are in LMI formalism and proofs involve parameter-dependent, quadratic in the state, Lyapunov functions. The new proposed conditions are shown to extend and merge two important existing results. Conservatism reduction is tackled via a model augmentation technique. Numerical complexity is contained by exploiting the structure of the models with respect to the uncertainties.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsXiaohua Xia, Edward Boje
PublisherIFAC Secretariat
Pages724-729
Number of pages6
ISBN (Electronic)9783902823625
Publication statusPublished - Jan 1 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: Aug 24 2014Aug 29 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Other

Other19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
CountrySouth Africa
CityCape Town
Period8/24/148/29/14

Fingerprint

Lyapunov functions
Linear systems
Robust stability
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Peaucelle, D., & Ebihara, Y. (2014). Robust stability analysis of discrete-time systems with parametric and switching uncertainties. In X. Xia, & E. Boje (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 724-729). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). IFAC Secretariat.

Robust stability analysis of discrete-time systems with parametric and switching uncertainties. / Peaucelle, D.; Ebihara, Y.

19th IFAC World Congress IFAC 2014, Proceedings. ed. / Xiaohua Xia; Edward Boje. IFAC Secretariat, 2014. p. 724-729 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Peaucelle, D & Ebihara, Y 2014, Robust stability analysis of discrete-time systems with parametric and switching uncertainties. in X Xia & E Boje (eds), 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 19, IFAC Secretariat, pp. 724-729, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, South Africa, 8/24/14.
Peaucelle D, Ebihara Y. Robust stability analysis of discrete-time systems with parametric and switching uncertainties. In Xia X, Boje E, editors, 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Secretariat. 2014. p. 724-729. (IFAC Proceedings Volumes (IFAC-PapersOnline)).
Peaucelle, D. ; Ebihara, Y. / Robust stability analysis of discrete-time systems with parametric and switching uncertainties. 19th IFAC World Congress IFAC 2014, Proceedings. editor / Xiaohua Xia ; Edward Boje. IFAC Secretariat, 2014. pp. 724-729 (IFAC Proceedings Volumes (IFAC-PapersOnline)).
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