article

Interval estimation for LPV systems applying high order sliding mode techniques

Authors:

Leonid Fridman,

Ramatou SeydouAuthors Info & Claims

Automatica (Journal of IFAC), Volume 48, Issue 9

Pages 2365 - 2371

https://doi.org/10.1016/j.automatica.2012.06.073

Published: 01 September 2012 Publication History

Abstract

In this paper, the problem of design of interval observers for Linear Parameter-Varying (LPV) systems, containing non-detectable or non-strongly-observable parts, is addressed. Firstly, a High Order Sliding Mode (HOSM) method is applied to the strongly observable subsystem, obtained by an appropriate change of coordinates, to estimate the state and its derivative. Secondly, this information is used to decrease the level of uncertainty in the rest of the system, which leads to improvement of accuracy of the set-membership estimates generated by an interval observer. Moreover, it is shown that HOSM techniques allows us to relax the applicability conditions of standard interval observer design methods. The efficiency of the proposed approach is demonstrated through simulation examples.

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Cited By

You RXiang GGuo S(2023)Interval observer‐based consensus control of discrete‐time multi‐agent systems under stealthy attacksAsian Journal of Control10.1002/asjc.291625:3(2264-2275)Online publication date: 27-Apr-2023
https://dl.acm.org/doi/10.1002/asjc.2916
Lv JWang YWu D(2022)Observer-Based Control for Continuous-Time Switched Linear Parameter-Varying SystemsCircuits, Systems, and Signal Processing10.1007/s00034-022-02200-642:4(2049-2064)Online publication date: 13-Oct-2022
https://dl.acm.org/doi/10.1007/s00034-022-02200-6
Degue KEfimov DLe Ny JHirche S(2021)Design of Interval Observers for Uncertain Linear Impulsive Systems2021 60th IEEE Conference on Decision and Control (CDC)10.1109/CDC45484.2021.9683676(3990-3995)Online publication date: 14-Dec-2021
https://dl.acm.org/doi/10.1109/CDC45484.2021.9683676
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Interval estimation for LPV systems applying high order sliding mode techniques
1. Computing methodologies
  1. Artificial intelligence
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Copyright © Elsevier Ltd © 2012.

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Pergamon Press, Inc.

United States

Publication History

Published: 01 September 2012

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Cited By

You RXiang GGuo S(2023)Interval observer‐based consensus control of discrete‐time multi‐agent systems under stealthy attacksAsian Journal of Control10.1002/asjc.291625:3(2264-2275)Online publication date: 27-Apr-2023
https://dl.acm.org/doi/10.1002/asjc.2916
Lv JWang YWu D(2022)Observer-Based Control for Continuous-Time Switched Linear Parameter-Varying SystemsCircuits, Systems, and Signal Processing10.1007/s00034-022-02200-642:4(2049-2064)Online publication date: 13-Oct-2022
https://dl.acm.org/doi/10.1007/s00034-022-02200-6
Degue KEfimov DLe Ny JHirche S(2021)Design of Interval Observers for Uncertain Linear Impulsive Systems2021 60th IEEE Conference on Decision and Control (CDC)10.1109/CDC45484.2021.9683676(3990-3995)Online publication date: 14-Dec-2021
https://dl.acm.org/doi/10.1109/CDC45484.2021.9683676
Chevet TDinh TMarzat JRaïssi T(2021)Interval Estimation for Discrete-Time Linear Parameter-Varying System with Unknown Inputs2021 60th IEEE Conference on Decision and Control (CDC)10.1109/CDC45484.2021.9683335(4002-4007)Online publication date: 14-Dec-2021
https://dl.acm.org/doi/10.1109/CDC45484.2021.9683335
Leurent EEfimov DMaillard OLarochelle HRanzato MHadsell RBalcan MLin H(2020)Robust-adaptive control of linear systemsProceedings of the 34th International Conference on Neural Information Processing Systems10.5555/3495724.3495995(3220-3231)Online publication date: 6-Dec-2020
https://dl.acm.org/doi/10.5555/3495724.3495995
Leurent EEfimov DMaillard O(2020)Robust-Adaptive Interval Predictive Control for Linear Uncertain Systems2020 59th IEEE Conference on Decision and Control (CDC)10.1109/CDC42340.2020.9304308(1429-1434)Online publication date: 14-Dec-2020
https://dl.acm.org/doi/10.1109/CDC42340.2020.9304308
Huong D(2020)Design of functional interval observers for non‐linear fractional‐order systemsAsian Journal of Control10.1002/asjc.198422:3(1127-1137)Online publication date: 28-May-2020
https://dl.acm.org/doi/10.1002/asjc.1984
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
Ifqir SPuig VAit-Oufroukh NIchalal DMammar S(2018)Robust Fault Detection for Vehicle Lateral Dynamics: A Zonotope-based Set-membership Approach2018 21st International Conference on Intelligent Transportation Systems (ITSC)10.1109/ITSC.2018.8569754(1364-1369)Online publication date: 4-Nov-2018
https://dl.acm.org/doi/10.1109/ITSC.2018.8569754
Ifqir SOufroukh NIchalal DMammar S(2018)Performance Measure of Vehicle Onboard Vision System: An Interval Observer-based Approach2018 IEEE International Conference on Vehicular Electronics and Safety (ICVES)10.1109/ICVES.2018.8519491(1-6)Online publication date: 12-Sep-2018
https://dl.acm.org/doi/10.1109/ICVES.2018.8519491
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