Quantization‐Based Guaranteed‐Cost Control for Interval Type‐2 T‐S Fuzzy Networked Control Systems Under DoS Attacks and Fading Channels

ABSTRACT

This paper investigates the guaranteed‐cost state‐feedback control problem for uncertain nonlinear networked control systems (NCSs) subject to hybrid network‐induced disturbances, including Denial‐of‐Service (DoS) attacks, fading channels, and signal quantization. An interval type‐2 Takagi‐Sugeno (IT2 T‐S) fuzzy model is employed to approximate the nonlinear system dynamics and to account for uncertainties in membership functions. DoS attacks affecting state signal transmission are modeled by a binary Markov chain, while fading channels are considered in the control signal transmission. Moreover, dynamic quantizers are introduced for both state and control signals to reduce communication burden. By constructing an appropriate Lyapunov function, sufficient conditions in the form of linear matrix inequalities (LMIs) are derived to guarantee the stochastic stability of the closed‐loop system and to ensure a prescribed guaranteed‐cost performance. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed control strategy.