Fuzzy Tracking Control for Discrete-Time Nonlinear Network Systems with Privacy Protection and Dynamic Quantization

This paper investigates the problem of H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {H}}_{\infty }$$\end{document} performance output feedback tracking control of a nonlinear network control system with quantization effects in a privacy protection state. The nonlinear network system under study are represented by a Takagi–Sugeno fuzzy model. Dynamic quantization of the reference model and controlled object output signals are performed to reduce the load on the communication network. A function that converges gradually to the true value over time is used to protect the privacy of the reference model from eavesdroppers, and a tracking controller is designed to ensure that the system is asymptotically stable and has a given H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {H}}_{\infty }$$\end{document} performance. The sufficient conditions for the tracking controller are given in the form of linear matrix inequalities. Finally, the validity of the proposed method is verified using a nonlinear mass-spring-damped system.