H_∞ Control for Discrete‐Time Networked T‐S Fuzzy Systems with Packet Loss Based on Event‐Triggered Mechanism

Abstract

The ∞ state feedback control problem for a class of nonlinear networked control systems with data packet loss is studied using an event-triggered scheme. The data packet loss is described as an independent and homogeneous Bernoulli process. Under an eventtriggered scheme, the nonlinear networked control system with packet loss is modeled as a Takagi-Sugeno (T-S) fuzzy system, based on which sufficient conditions on the existence of event-triggered state feedback controllers are derived such that the closed-loop system is mean-square stable with a desired ∞ performance index. The simulation results show that the presented event-triggered scheme can not only ensure the closed-loop performance but also effectively reduce the data transmission rate.

Distributed dynamic event-based finite-time dissipative synchronization control for semi-Markov switched fuzzy cyber-physical systems against random packet losses

“…[34][35][36] Besides, the process of packet dropout is depicted by a stochastic sequence following the continuous Bernoulli distribution in previous studies like Refs. [37][38][39], but this method is unsuitable for a non-uniform sampling situation where triggering instants fail to be transmitted. Therefore, there is the need to establish a realistic framework to analyze a distributed dynamic ETM (DDETM) influenced by random packet losses in semi-Markov switched TSFCPSs.…”

“…Additionally, aiming to handle the stochastic data loss sequence that does not satisfy Bernoulli distribution, an equivalent prediction model distinguished from Refs. [37][38][39] is provided to transform the triggering instant.…”

Takagi–Sugeno Fuzzy Control for a Nonlinear Networked System Exposed to a Replay Attack

“…Yu et al [2] modelled the NCS with data packet dropout as a linear jump system. Chen et al [3] studied the H ∞ control of a nonlinear NCS with data packet dropout, where the data packet dropout was described as a homogeneous Bernoulli process and the global system was modelled as a Takagi-Sugeno (T-S) fuzzy system. Xiong and Lam [4] considered two categories of packet dropout; the first category was the random packet loss process, whereas the second was the Markovian packet loss process.…”