Robust H_∞ Fault Detection for Networked Control Systems with Markov Time‐Delays and Data Packet Loss in Both S/C and C/A Channels

Abstract

This paper investigates the robust H∞ fault detection problem for networked control systems with Markov time-delays and data packet loss in both S/C and C/A channels. First, the time-delay from sensor to controller (S/C) and the time-delay from sensor to actuator (C/A) are described by two different Markov chains. Two random variables obeying the Bernoulli distribution are used to describe the packet loss between the sensor and the controller together between the controller and the actuator. Based on this, a fault detection filter is constructed and the closed-loop system mathematical model is established. Then, the solution method of the fault detection filter and controller gain matrix is given. The relationship between the probability of successful packet transmission and the ability to suppress external disturbance is obtained. Finally, simulation verifies the effectiveness of the proposed method.

Fractional-Order PID Controller Design for Time-Delay Systems Based on Modified Bode’s Ideal Transfer Function

“…The performance shows the system robustness to the gain uncertainties using the proposed FOPID controller. Compared with the step responses using the controllers (29) and (30), the overshoots of the proposed FOPID are smaller and with shorter settling time.…”

“…Time-delay is often encountered in industrial engineering, such as the chemical process and networked control system [27], and often brings in great difficulty in control system design. For example, networked control systems are typical time-delay systems and the time-delay introduced by the network inevitably makes the system performance degraded and may even damage the system stability [28], [29]. Although many modern control strategies have been developed for time-delay systems, PID control is considered as a simple yet effective manner to possess great robustness against system time-delay [30]- [32].…”

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

“…Moreover, the control issue of an NCS with time delay and packet dropout was established in [5][6][7][8], where Qi et al [5] studied the event-triggered H ∞ control problem for networked switched systems with a mixed time and statedependent switching law taking into consideration the effect of the network delay. Wang et al [6] investigated the H ∞ issue for NCS with packet dropout and varying time delays.…”

“…Wang et al [6] investigated the H ∞ issue for NCS with packet dropout and varying time delays. Wang et al [7] studied the robust H ∞ fault detection dilemma for NCS with Markov time delay and packet loss in both communication channels. Qiu et al [8] treated the stability problem for an NCS with random time delays and packet dropouts based on a unified Markov jump model.…”

Fault Detection and Health Assessment of Equipment Based on Fuzzy DPCA Spatial Eigenvalue Similarity

“…To ensure production, it is important to diagnose faults and health assessment of key equipment. Serious consequences would occur, once a fault happens and is not effectively handled [1][2][3][4].…”