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

Dimitri Peaucelle, Yoshio Ebihara, Yohei Hosoe

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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
JournalAutomatica
Volume76
DOIs
Publication statusPublished - Feb 1 2017

Fingerprint

State feedback
Uncertain systems
Linear matrix inequalities
Linear systems
Controllers
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Robust observed-state feedback design for discrete-time systems rational in the uncertainties. / Peaucelle, Dimitri; Ebihara, Yoshio; Hosoe, Yohei.

In: Automatica, Vol. 76, 01.02.2017, p. 96-102.

Research output: Contribution to journalArticle

@article{9dcba7c5ae6f4cacab342be8f7f04ee2,
title = "Robust observed-state feedback design for discrete-time systems rational in the uncertainties",
abstract = "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.",
author = "Dimitri Peaucelle and Yoshio Ebihara and Yohei Hosoe",
year = "2017",
month = "2",
day = "1",
doi = "10.1016/j.automatica.2016.10.003",
language = "English",
volume = "76",
pages = "96--102",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Robust observed-state feedback design for discrete-time systems rational in the uncertainties

AU - Peaucelle, Dimitri

AU - Ebihara, Yoshio

AU - Hosoe, Yohei

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85002292006&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85002292006&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2016.10.003

DO - 10.1016/j.automatica.2016.10.003

M3 - Article

AN - SCOPUS:85002292006

VL - 76

SP - 96

EP - 102

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -