Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

Wang, Yanfeng; Li, Zuxin; Zhou, Zhe

doi:10.1155/2017/2608140

Cited by 6 publications

(6 citation statements)

References 26 publications

(33 reference statements)

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“…4. Clearly, the proposed FOPID in (28) provides better control performance than the controllers in ( 29) and (30), which is also demonstrated by their frequency response of open-loop transfer functions in Fig. 5.…”

Section: Figurementioning

confidence: 80%

“…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].…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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This paper proposes a design method for a robust fractional-order PID (FOPID) controller for time-delay systems. A new Bode's ideal transfer function is introduced to tolerance the time-delay in loop. Robust stability is analyzed for the Bode's model in terms of gain and phase margins to help the parameter tuning. To simplify FOPID design from solving nonlinear equations, five unknown parameters are reduced to one in the Bode shaping by data fitting between a parametric model and the real plant. Then, the problem is simply solved by one-dimensional searching. Furthermore, the proposed FOPID controller design is extended to multi-input and multi-output (MIMO) systems by using disturbance observer (DOB). Finally, simulation results are presented to show the effectiveness of the proposed method.INDEX TERMS Fractional order PID controller, time-delay system, Bode's ideal transfer function, bode shaping.

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Section: Figurementioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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“…Definition ( [17]). For ( ) = 0, the closed-loop system 9is stochastically stable, if for any initial condition (0), and any initial time-delay mode (0) ∈ Υ, (0) ∈ Θ, there exists positive-definite matrix such that…”

Section: Problem Formulationsmentioning

confidence: 99%

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

Wang

2019

Mathematical Problems in Engineering

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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.

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“…The fault detection problem for the networked Markovian jump system was investigated. By treating the S‐to‐C delay as a Markovian chain, the resulting system was converted into a system containing two Markovian chains [31]. Although some results on the networked Markovian jump system have been reported, but research studies for the networked Markovian jump system with data packet loss are rare.…”

Section: Introductionmentioning

confidence: 99%

H∞ control for a networked Markovian jump system subject to data packet loss based on the observer

Wang

Sun

et al. 2021

IET Cyber-Syst and Robotics

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This study researches the H ∞ control issue for a networked Markovian jump system with data packet loss occurring not only in the channel from sensor to controller but also in the channel from controller to actuator via an observer. The mathematical model for the closed-loop networked Markovian jump system with data packet loss is established. The necessary and sufficient conditions for the closed-loop system to be stochastically stable are derived. The design approach of the controller and the minimal performance index of the external disturbance suppression are also given in the case that the transition possibilities of the system modes and the data packet loss are both partially unavailable. Finally, two numerical examples are used to illustrate the effectiveness of the proposed method. K E Y W O R D Sdata packet loss, Markovian jump system, networked control system, observer | INTRODUCTIONAs the networked control system (NCS) has the advantages of easy installation and maintenance, as well as convenient expansion, the application range of the NCS has become more and more extensive, including the fields of industrial systems, aerospace, robot manufacturing, remote sensing technology and so on [1][2][3][4]. Coupled with the increasing development of information technology, the NCS will be used in more fields in the future [5][6][7][8]. However, data packet loss and time-delay induced by the network would make the system's performance degrade and may even lead to instability, and these are two basic issues of the NCS [9][10][11][12][13].The research of data packet loss is a significant direction of NCS research, which has attracted considerable attention. For the current research study, there are mainly two approaches to deal with the problem of data packet loss. The first approach is to use a Bernoulli probability distribution sequence to describe the data packet loss as a random variable, which takes a value from f0; 1g [14][15][16][17]. The stability of the NCS whose communication channel was influenced by data packet loss was discussed [14], and a Bernoulli variable was used to model the data packet loss. Sliding mode control based on the observer for the NCS with quantisation was taken into consideration [15], in which data packet loss occurred when the measurement output was transmitted, and a compensating scheme was put forward to cope with influences of modelled data packet loss, which was treated as a Bernoulli process. A novel H ∞ approach for the NCS with multiple data packet losses was studied [16], and a control system containing two Bernoulli variables was applied to model the NCS, which contained not only measurement data packet loss but also control data packet loss. The problem of linear quadratic Gaussian control for the NCS with data packet loss was discussed [17], where dataThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Robust H_∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

Cited by 6 publications

References 26 publications

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

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

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

H∞ control for a networked Markovian jump system subject to data packet loss based on the observer

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Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

Cited by 6 publications

References 26 publications

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

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

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

H∞ control for a networked Markovian jump system subject to data packet loss based on the observer

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Robust H_∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

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