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

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.