A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs

Souad Bezzaoucha Rebai, Holger Voos, Jorge A. Davila, Francisco Javier Bejarano

Research output: Contribution to conferencePaper

Abstract

© 2018 AACC. A decoupling approach for state estimation of nonlinear systems represented in the polytopic Takagi-Sugeno with unmeasurable premise variables subject to unknown inputs is proposed in this paper. The idea consists in defining a state and unknown input transformations in order to divide the state vector into two parts, a measurable part and an observable one (decoupled from the unknown input). A classical Luenberger observer to estimate the unmeasurable part is then designed and given in terms of Linear Matrix Inequalities (LMIs) conditions. A numerical example is also presented in order to illustrate the proposed approach.
Original languageAmerican English
Pages1352-1357
Number of pages6
DOIs
StatePublished - 9 Aug 2018
EventProceedings of the American Control Conference -
Duration: 9 Aug 2018 → …

Conference

ConferenceProceedings of the American Control Conference
Period9/08/18 → …

Fingerprint

State estimation
Linear matrix inequalities
Nonlinear systems

Cite this

Rebai, Souad Bezzaoucha ; Voos, Holger ; Davila, Jorge A. ; Bejarano, Francisco Javier. / A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs. Paper presented at Proceedings of the American Control Conference, .6 p.
@conference{8ff601bfed5449818dcf9fa1f150c0d6,
title = "A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs",
abstract = "{\circledC} 2018 AACC. A decoupling approach for state estimation of nonlinear systems represented in the polytopic Takagi-Sugeno with unmeasurable premise variables subject to unknown inputs is proposed in this paper. The idea consists in defining a state and unknown input transformations in order to divide the state vector into two parts, a measurable part and an observable one (decoupled from the unknown input). A classical Luenberger observer to estimate the unmeasurable part is then designed and given in terms of Linear Matrix Inequalities (LMIs) conditions. A numerical example is also presented in order to illustrate the proposed approach.",
author = "Rebai, {Souad Bezzaoucha} and Holger Voos and Davila, {Jorge A.} and Bejarano, {Francisco Javier}",
year = "2018",
month = "8",
day = "9",
doi = "10.23919/ACC.2018.8431713",
language = "American English",
pages = "1352--1357",
note = "Proceedings of the American Control Conference ; Conference date: 09-08-2018",

}

Rebai, SB, Voos, H, Davila, JA & Bejarano, FJ 2018, 'A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs', Paper presented at Proceedings of the American Control Conference, 9/08/18 pp. 1352-1357. https://doi.org/10.23919/ACC.2018.8431713

A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs. / Rebai, Souad Bezzaoucha; Voos, Holger; Davila, Jorge A.; Bejarano, Francisco Javier.

2018. 1352-1357 Paper presented at Proceedings of the American Control Conference, .

Research output: Contribution to conferencePaper

TY - CONF

T1 - A Decoupling Approach to Design Observers for Polytopic Takagi-Sugeno Models Subject to Unknown Inputs

AU - Rebai, Souad Bezzaoucha

AU - Voos, Holger

AU - Davila, Jorge A.

AU - Bejarano, Francisco Javier

PY - 2018/8/9

Y1 - 2018/8/9

N2 - © 2018 AACC. A decoupling approach for state estimation of nonlinear systems represented in the polytopic Takagi-Sugeno with unmeasurable premise variables subject to unknown inputs is proposed in this paper. The idea consists in defining a state and unknown input transformations in order to divide the state vector into two parts, a measurable part and an observable one (decoupled from the unknown input). A classical Luenberger observer to estimate the unmeasurable part is then designed and given in terms of Linear Matrix Inequalities (LMIs) conditions. A numerical example is also presented in order to illustrate the proposed approach.

AB - © 2018 AACC. A decoupling approach for state estimation of nonlinear systems represented in the polytopic Takagi-Sugeno with unmeasurable premise variables subject to unknown inputs is proposed in this paper. The idea consists in defining a state and unknown input transformations in order to divide the state vector into two parts, a measurable part and an observable one (decoupled from the unknown input). A classical Luenberger observer to estimate the unmeasurable part is then designed and given in terms of Linear Matrix Inequalities (LMIs) conditions. A numerical example is also presented in order to illustrate the proposed approach.

U2 - 10.23919/ACC.2018.8431713

DO - 10.23919/ACC.2018.8431713

M3 - Paper

SP - 1352

EP - 1357

ER -