<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, a design of a full-order observer for linear time-invariant (LTI) multivariable systems with multiple time-delays and unknown inputs (UI) is proposed. The main idea is to reduce the problem of the unknown input observer (UIO) for systems with multiple time-delays to that of a standard one. To that purpose, the orthogonal collocation method is used to transform the infinite dimensional model of the delayed system described by a set of linear partial differential equations (PDEs) to a finite dimensional one described by a set of linear ordinary differential equations (ODEs). Even using an approximation method, the asymptotic stability of the UIO is well proven. The efficiency of the proposed algorithm is shown using the quadruple-tank benchmark. The two cases of minimum and non-minimum phase models are considered.</p>
</abstract>

In this paper, a design of a full-order observer for linear time-invariant (LTI) multivariable systems with multiple time-delays and unknown inputs (UI) is proposed. The main idea is to reduce the problem of the unknown input observer (UIO) for systems with multiple time-delays to that of a standard one. To that purpose, the orthogonal collocation method is used to transform the infinite dimensional model of the delayed system described by a set of linear partial differential equations (PDEs) to a finite dimensional one described by a set of linear ordinary differential equations (ODEs). Even using an approximation method, the asymptotic stability of the UIO is well proven. The efficiency of the proposed algorithm is shown using the quadruple-tank benchmark. The two cases of minimum and non-minimum phase models are considered.

Full Order Unknown Inputs Observer for Multiple Time-Delay Systems

International Journal on Smart Sensing and Intelligent Systems

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Full Order Unknown Inputs Observer for Multiple Time-Delay Systems"}

In this paper, a design of a full-order observer for linear time-invariant (LTI) multivariable systems with multiple time-delays and unknown inputs (UI) is...

Full Order Unknown Inputs Observer for Multiple Time-Delay Systems

Published Online: Dec 01, 2016

Page range: 1750 - 1775

Received: Sep 15, 2016

Accepted: Oct 25, 2016

DOI: https://doi.org/10.21307/ijssis-2017-938

Keywords
Asymptotic stability, Delay systems, Observer, Unknown Inputs

© 2016 Seifeddine Ben Warrad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Full Order Unknown Inputs Observer for Multiple Time-Delay Systems

Published Online: Dec 01, 2016

Page range: 1750 - 1775

Received: Sep 15, 2016

Accepted: Oct 25, 2016

DOI: https://doi.org/10.21307/ijssis-2017-938

KeywordsAsymptotic stability, Delay systems, Observer, Unknown Inputs

© 2016 Seifeddine Ben Warrad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Asymptotic stability, Delay systems, Observer, Unknown Inputs