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Constraining the State and Control Signal Variation Using the Sliding Mode Control

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Automation 2020: Towards Industry of the Future (AUTOMATION 2020)

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Abstract

In this article the discrete-time system violated by unknown, but bounded perturbations was considered. Using the reaching law approach the sliding mode controller was designed. The fastest, finite-time, monotonic convergence of the representative point to the predefined, fixed sliding hyperplane in the presence of state and control input constraints was analyzed. Moreover, the reaching law was improved by considering also the limitation of state and control signal variations. Proposed strategy does not require the fulfillment of the matching conditions.

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Correspondence to Marek Jaskuła .

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Jaskuła, M. (2020). Constraining the State and Control Signal Variation Using the Sliding Mode Control. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2020: Towards Industry of the Future. AUTOMATION 2020. Advances in Intelligent Systems and Computing, vol 1140. Springer, Cham. https://doi.org/10.1007/978-3-030-40971-5_3

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