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.

本文提出了一种基于Delta调制器（\（\ Delta \）- M）的量化状态反馈控制器，用于Takagi–Sugeno（TS）模糊网络系统。的\（\德尔塔\） -M（单比特量化器）本质上属于一类滑模量化器（SMQs）和提供了各种优点，包括较低的设计复杂度，较低的成本和较少噪声的。对于规定的量化误差，使用线性矩阵不等式（LMI）导出状态反馈控制器和量化器的增益（在连续和离散时域中），从而确保整个系统的稳定性。考虑到基于ZigBee协议的实际通信网络，说明了量化控制系统的性能。仿真结果表明\（\ Delta \） -基于M的量化控制器可以在实际通信网络的各种缺陷下有效地实现所需的性能。