article

On Reduced-Order Linear Functional Interval Observers for Nonlinear Uncertain Time-Delay Systems with External Unknown Disturbances

Authors:

Dinh Cong Huong,

Mai Viet ThuanAuthors Info & Claims

Circuits, Systems, and Signal Processing, Volume 38, Issue 5

Pages 2000 - 2022

https://doi.org/10.1007/s00034-018-0951-0

Published: 01 May 2019 Publication History

Abstract

In this paper, we consider the problem of designing reduced-order linear functional interval observers for nonlinear uncertain time-delay systems with external unknown disturbances. Given bounds on the uncertainties, we design two reduced-order linear functional state observers in order to compute two estimates, an upper one and a lower one, which bound the unmeasured linear functions of state variables. Conditions for the existence of a pair of reduced-order linear functional observers are presented, and they are translated into a linear programming problem in which the observers' matrices can be effectively computed. Finally, the effectiveness of the proposed design method is supported by four examples and simulation results.

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Cited By

Yuan M(2023)Event-Triggered Adaptive Control for Stochastic p-Normal Switched Feedforward Systems with Time-Varying DelaysCircuits, Systems, and Signal Processing10.1007/s00034-022-02209-x42:4(2065-2087)Online publication date: 1-Apr-2023
https://dl.acm.org/doi/10.1007/s00034-022-02209-x
Gu DLiu QLiu Y(2022)Parametric Design of Functional Interval Observer for Time-Delay Systems with Additive DisturbancesCircuits, Systems, and Signal Processing10.1007/s00034-021-01906-341:5(2614-2635)Online publication date: 1-May-2022
https://dl.acm.org/doi/10.1007/s00034-021-01906-3
Shahbazzadeh MSadati S(2022)Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear PerturbationsCircuits, Systems, and Signal Processing10.1007/s00034-021-01810-w41:2(684-699)Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1007/s00034-021-01810-w
Show More Cited By

Index Terms

On Reduced-Order Linear Functional Interval Observers for Nonlinear Uncertain Time-Delay Systems with External Unknown Disturbances
1. Computing methodologies
  1. Artificial intelligence
    1. Control methods
      1. Computational control theory
2. Theory of computation
  1. Design and analysis of algorithms

Index terms have been assigned to the content through auto-classification.

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cover image Circuits, Systems, and Signal Processing

Circuits, Systems, and Signal Processing Volume 38, Issue 5

May 2019

495 pages

ISSN:0278-081X

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Copyright © Copyright © 2019 Springer Science+Business Media, LLC, part of Springer Nature.

Publisher

Birkhauser Boston Inc.

United States

Publication History

Published: 01 May 2019

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Cited By

Yuan M(2023)Event-Triggered Adaptive Control for Stochastic p-Normal Switched Feedforward Systems with Time-Varying DelaysCircuits, Systems, and Signal Processing10.1007/s00034-022-02209-x42:4(2065-2087)Online publication date: 1-Apr-2023
https://dl.acm.org/doi/10.1007/s00034-022-02209-x
Gu DLiu QLiu Y(2022)Parametric Design of Functional Interval Observer for Time-Delay Systems with Additive DisturbancesCircuits, Systems, and Signal Processing10.1007/s00034-021-01906-341:5(2614-2635)Online publication date: 1-May-2022
https://dl.acm.org/doi/10.1007/s00034-021-01906-3
Shahbazzadeh MSadati S(2022)Delay-Dependent Stabilization of Time-Delay Systems with Nonlinear PerturbationsCircuits, Systems, and Signal Processing10.1007/s00034-021-01810-w41:2(684-699)Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1007/s00034-021-01810-w
Cong Huong DThanh Huynh VTrinh H(2020)Interval functional observers for time‐delay systems with additive disturbancesInternational Journal of Adaptive Control and Signal Processing10.1002/acs.314934:9(1281-1293)Online publication date: 1-Sep-2020
https://dl.acm.org/doi/10.1002/acs.3149

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