Dynamic feedback triggering fuzzy control for Takagi–Sugeno discrete systems

Magdi S. Mahmoud; Nezar M. Alyazidi

doi:10.1016/j.jfranklin.2016.12.016

Dynamic feedback triggering fuzzy control for Takagi–Sugeno discrete systems

Magdi S. Mahmoud^*, Nezar M. Alyazidi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the design problem of dynamic event-triggered (ET) fuzzy control methodology for discrete-time Takagi–Sugeno (T–S) systems in this work. The observed-state error is utilized to derive the event condition. Sufficient condition for the asymptotic stability of the closed-loop fuzzy system and the observer error system under the event-triggered fuzzy control is provided by linear matrix inequality (LMI). Moreover, the corresponding self-triggered (ST) fuzzy control is developed where the following control action is estimated in terms of the current sampled data. Furthermore, simulations are given to represent the feasibility and efficiency of the achieved results.

Original language	English
Pages (from-to)	2295-2309
Number of pages	15
Journal	Journal of the Franklin Institute
Volume	354
Issue number	5
DOIs	https://doi.org/10.1016/j.jfranklin.2016.12.016
State	Published - 1 Mar 2017

Bibliographical note

Publisher Copyright:
© 2016 The Franklin Institute

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2016.12.016

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abstract = "We study the design problem of dynamic event-triggered (ET) fuzzy control methodology for discrete-time Takagi–Sugeno (T–S) systems in this work. The observed-state error is utilized to derive the event condition. Sufficient condition for the asymptotic stability of the closed-loop fuzzy system and the observer error system under the event-triggered fuzzy control is provided by linear matrix inequality (LMI). Moreover, the corresponding self-triggered (ST) fuzzy control is developed where the following control action is estimated in terms of the current sampled data. Furthermore, simulations are given to represent the feasibility and efficiency of the achieved results.",

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AB - We study the design problem of dynamic event-triggered (ET) fuzzy control methodology for discrete-time Takagi–Sugeno (T–S) systems in this work. The observed-state error is utilized to derive the event condition. Sufficient condition for the asymptotic stability of the closed-loop fuzzy system and the observer error system under the event-triggered fuzzy control is provided by linear matrix inequality (LMI). Moreover, the corresponding self-triggered (ST) fuzzy control is developed where the following control action is estimated in terms of the current sampled data. Furthermore, simulations are given to represent the feasibility and efficiency of the achieved results.

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Dynamic feedback triggering fuzzy control for Takagi–Sugeno discrete systems

Abstract

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