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

Ba Khiet Le ()
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Ba Khiet Le: Ton Duc Thang University

Journal of Optimization Theory and Applications, 2022, vol. 194, issue 1, No 13, 290-305

Abstract: Abstract 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 $$H^\infty $$ H ∞ observers.

Keywords: Lur’e dynamical systems; Sliding mode observer; Time dependent; Set-valued feedback (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-022-02027-w

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