Robust observed-state feedback design for discrete-time systems rational in the uncertainties

Dimitri Peaucelle, Yoshio Ebihara, Yohei Hosoe

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


Design of controllers in the form of a state-feedback coupled to a state observer is studied in the context of uncertain systems. The classical approach by Luenberger is revisited. Results provide a heuristic design procedure that mimics the independent state-feedback/observer gains design by minimizing the coupling of observation error dynamics on the ideal state-feedback dynamics. The proposed design and analysis conditions apply to linear systems rationally-dependent on uncertainties defined in the cross-product of polytopes. Convex linear matrix inequality results are given thanks to the combination of a descriptor multi-affine representations of systems and the S-variable approach. Stability and H performances are assessed by multi-affine parameter-dependent Lyapunov matrices.

Original languageEnglish
Pages (from-to)96-102
Number of pages7
Publication statusPublished - Feb 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Robust observed-state feedback design for discrete-time systems rational in the uncertainties'. Together they form a unique fingerprint.

Cite this