Sliding Mode Observers for Time-Dependent Set-Valued Lur’e Systems Subject to Uncertainties

Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The current paper proposes a sliding mode observer for a general class of Lur’e systems subject to uncertainties where feedbacks involve time-depend...

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 194; no. 1; pp. 290 - 305
Main Author Le, Ba Khiet
Format Journal Article
LanguageEnglish
Published New York Springer US 01.07.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Calculus of Variations and Optimal Control; Optimization
Control theory
Convergence
Dynamical systems
Engineering
Linear transformations
Mathematics
Mathematics and Statistics
Observers
Operations Research/Decision Theory
Optimization
Sliding mode control
Theory of Computation
Time dependence
Uncertainty
Lur’e dynamical systems
Sliding mode observer
Set-valued feedback
Time dependent
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Summary:Designing observers for dynamical systems plays an important role in the modern control theory due to the lack of full information in measured outputs. The current paper proposes a sliding mode observer for a general class of Lur’e systems subject to uncertainties where feedbacks involve time-dependent set-valued mappings. To the best of our knowledge, sliding mode observers for set-valued Lur’e systems, even for the simple static case, have not been considered in the literature. Exponential convergence of the observer state and finite-time convergence of the output estimation error are guaranteed without using any linear transformations. In addition, our design can also deduce H ∞ observers.
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ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-022-02027-w