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Fuzzy Model Predictive Control for Discrete-Time System with Input Delays

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 554))

Abstract

In this paper, we present a robust fuzzy model predictive control (RFMPC) for a class of discrete-time system with input delays. The system is represented into a Takagi-Sugeno (T-S) discrete fuzzy model. Based on the Lyapunov functions theory, some required sufficient conditions are established in terms of linear-matrix inequalities (LMIs). The provided conditions are obtained through a fuzzy Lyapunov function candidate and a non-PDC control law, which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. A numerical example is provided to illustrate the effectiveness of the control algorithm.

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Correspondence to Sofiane Bououden .

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Bououden, S., Boulkaibet, I., Chadli, M., Zelinka, I. (2020). Fuzzy Model Predictive Control for Discrete-Time System with Input Delays. In: Zelinka, I., Brandstetter, P., Trong Dao, T., Hoang Duy, V., Kim, S. (eds) AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. AETA 2018. Lecture Notes in Electrical Engineering, vol 554. Springer, Cham. https://doi.org/10.1007/978-3-030-14907-9_7

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  • DOI: https://doi.org/10.1007/978-3-030-14907-9_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-14906-2

  • Online ISBN: 978-3-030-14907-9

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