LMI results for robust control design of observer-based controllers, the discrete-time case with polytopic uncertainties

D. Peaucelle, Y. Ebihara

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

9 Citations (Scopus)

Abstract

Design of robust observers is considered in the context of linear discrete-time, time invariant systems. Robustness is achieved with respect to polytopic type uncertainties that affect the dynamics of the plant. At the difference with the uncertainty-free situation, state-feedback/observer separation principle does not hold. Therefore, the observer design has to take into account the state-feedback gain. Results are derived with linear matrix inequality formalism and involve up-to-date slack-variables approach. A numerical example illustrates the results. Limitations of the method are discussed and prospective work for improving these is exposed.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsXiaohua Xia, Edward Boje
PublisherIFAC Secretariat
Pages6527-6532
Number of pages6
ISBN (Electronic)9783902823625
Publication statusPublished - Jan 1 2014
Externally publishedYes
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

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All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Peaucelle, D., & Ebihara, Y. (2014). LMI results for robust control design of observer-based controllers, the discrete-time case with polytopic uncertainties. In X. Xia, & E. Boje (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 6527-6532). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). IFAC Secretariat.