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Delta-Modulator-Based Quantised State Feedback Controller for T–S Fuzzy Networked Systems

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Abstract

This paper proposes a Delta-Modulator (\(\Delta \)-M)-based quantised state feedback controller for Takagi–Sugeno (T–S) fuzzy networked systems. The \(\Delta \)-M (a single bit quantiser) essentially belongs to one class of sliding mode quantisers (SMQs) and offers various advantages which include lower design complexity, lower cost and less noisy. For a prescribed quantisation error, the gains of the state-feedback controller and the quantiser are derived (both in continuous and discrete time domains) using linear matrix inequalities (LMIs) which ensures the stability of the overall system. The performance of the quantised control system is illustrated considering a practical communication network based on ZigBee protocol. The results of the simulation demonstrate that the proposed \(\Delta \)-M-based quantised controller could effectively achieve desired performance under various imperfections of the practical communication network.

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Authors and Affiliations

  1. Department of Electrical, Computer, and Software Engineering, The University of Auckland, Auckland, New Zealand

    Chathura Wanigasekara, Liruo Zhang, Akshya Swain & Sing Kiong Nguang

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  1. Chathura Wanigasekara
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  2. Liruo Zhang
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  3. Akshya Swain
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  4. Sing Kiong Nguang
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Correspondence to Chathura Wanigasekara.

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Wanigasekara, C., Zhang, L., Swain, A. et al. Delta-Modulator-Based Quantised State Feedback Controller for T–S Fuzzy Networked Systems. Int. J. Fuzzy Syst. 23, 642–656 (2021). https://doi.org/10.1007/s40815-020-01036-z

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  • DOI: https://doi.org/10.1007/s40815-020-01036-z

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