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A new robust observer design based discrete sliding mode control for time-varying delay systems with Hölder nonlinearities and unmatched disturbances

Abstract : In this paper, a new robust observer based sliding mode control approach is proposed for uncertain linear discrete-time delay system. The system under study is subject to time-varying states delay, and to different types of disturbances such as unmatched Unknown but norm-Bounded (UBB) parametric uncertainties and external disturbances. Additional nonlinearities have been considered as well. Such system nonlinearities are supposed to verify a Hölder condition of order α. A new delay-dependent sufficient conditions ensuring the robust asymptotic stability of the closed-loop system is derived in terms of Linear Matrix Inequalities (LMI). With regards to these conditions and considering the novel sliding surface-based observer, a new discrete-time sliding mode control law is designed. Finally, an illustrative example is exhibited to show the validity of the proposed control scheme.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-02408072
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Submitted on : Thursday, December 12, 2019 - 5:47:53 PM
Last modification on : Thursday, October 22, 2020 - 2:14:17 PM
Long-term archiving on: : Friday, March 13, 2020 - 11:32:57 PM

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  • HAL Id : hal-02408072, version 1

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Sonia Ghrab, Sofiane Ahmed Ali, Nicolas Langlois, Hassani Messaoud. A new robust observer design based discrete sliding mode control for time-varying delay systems with Hölder nonlinearities and unmatched disturbances. 15th European Conference on Advanced Control and Diagnosis ACD'19, Nov 2019, Bologna, Italy. ⟨hal-02408072⟩

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