Functional interval estimation for continuous-time linear systems with time-invariant uncertainties

This paper investigates functional interval estimation for continuous-time linear systems subject to both time-varying and time-invariant uncertainties. Two novel methods are proposed based on peak-to-peak functional observer design and interval analysis. First, we present a splitting-based method t...

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Bibliographic Details
Published in:Automatica (Oxford) 2025-02, Vol.172, p.112017, Article 112017
Main Authors: Ma, Youdao, Wang, Zhenhua, Meslem, Nacim, Raïssi, Tarek
Format: Article
Language:English
Subjects:
Continuous-time linear systems
Engineering Sciences
Functional interval estimation
Interval analysis
Peak-to-peak performance index
Time invariance
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Summary:This paper investigates functional interval estimation for continuous-time linear systems subject to both time-varying and time-invariant uncertainties. Two novel methods are proposed based on peak-to-peak functional observer design and interval analysis. First, we present a splitting-based method that splits the estimation error dynamics into two subsystems to handle the time-invariant disturbances and provide accurate estimation results. Then, to further enhance the estimation accuracy, we present an augmentation-based method that considers the time invariance in both functional observer design and reliable interval estimation. The relationship between a state-of-art method and the proposed methods are analysed theoretically. Finally, simulation results are provided to demonstrate the performances of the proposed methods.
ISSN:0005-1098
DOI:10.1016/j.automatica.2024.112017