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2020 | OriginalPaper | Chapter

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

Authors : Sofiane Bououden, Ilyes Boulkaibet, Mohammed Chadli, Ivan Zelinka

Published in: AETA 2018 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application

Publisher: Springer International Publishing

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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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Metadata
Title
Fuzzy Model Predictive Control for Discrete-Time System with Input Delays
Authors
Sofiane Bououden
Ilyes Boulkaibet
Mohammed Chadli
Ivan Zelinka
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-14907-9_7