Xiongbo Wan

Huazhong Agricultural University, Wu-han-shih, Hubei, China

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Publications (10)10.79 Total impact

  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper addresses the problem of exponential synchronization of switched genetic oscillators with time-varying delays. Switching parameters and three types of nonidentical time-varying delays, that is, the self-delay, the intercellular coupling delay, and the regulatory delay are taken into consideration in genetic oscillators. By utilizing the Kronecker product techniques and ‘delay-partition’ approach, a new Lyapunov-Krasovskii functional is proposed. Then, based on the average dwell time approach, Jensen's integral inequality, and free-weighting matrix method, delay-dependent sufficient conditions are derived in terms of linear matrix inequalities (LMIs). These conditions guarantee the exponential synchronization of switched genetic oscillators with time-varying delays whose upper bounds of derivatives are known and unknown, respectively. A numerical example is presented to demonstrate the effectiveness of our results.
    Journal of the Franklin Institute 01/2014; · 2.42 Impact Factor
  • Xiongbo Wan, Li Xu, Huajing Fang, Fang Yang
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    ABSTRACT: This paper investigates the robust stability problem of a class of discrete-time genetic regulatory networks (GRNs) with probabilistic time delays. Different from the previous works, at each instant the feedback regulation delay and the translation delay are assumed to take values in two given finite sets with deterministic probability distributions. By utilizing a class of indicator functions and discrete-time Jensen inequality, delay-probability-distribution-dependent sufficient conditions are obtained in terms of linear matrix inequalities (LMIs) such that the discrete-time GRNs are robustly asymptotically stable in the mean-square sense for all admissible uncertainties and random delays. Three numerical examples are given to demonstrate the effectiveness of our theoretical results.
    Neurocomputing 01/2014; 124:72-80. · 1.63 Impact Factor
  • Xiongbo Wan, Huajing Fang, Fang Yang
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    ABSTRACT: This paper addresses the fault detection (FD) problem for networked systems with with randomly occurring nonlinearities and incomplete measurements, including transmission time delays, packet dropouts, and signal quantizations which are described by a new switched system model. We aim to design a mode-dependent fault detection filter (FDF) such that, for all external disturbances, incomplete measurements, and the randomly occurring nonlinearities, the error between the residual and weighted fault is made as small as possible. The addressed FD problem is then converted into an auxiliary H∞ filtering problem of switched systems with time-varying delays. By applying Lyapunov-Krasovskii approach, a sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the results obtained.
    Control and Decision Conference (CCDC), 2013 25th Chinese; 01/2013
  • Xiongbo Wan, Huajing Fang
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    ABSTRACT: This paper addresses the problem of fault detection (FD) for networked systems with global Lipschitz nonlinearities and incomplete measurements, including time delays and packet dropouts which are described by a more general model using Markov jump system approach. We aim to design a mode-dependent fault detection filter (FDF) such that, for all external disturbances and incomplete measurements, the error between the residual and fault is made as small as possible. The addressed FD problem is then converted into an auxiliary H ∞ filtering problem of Markov jump system with time-varying delay. By applying Lyapunov–Krasovskii approach, a sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the results obtained. KeywordsFault detection–Networked nonlinear systems–Time delays–Packet dropouts–Linear matrix inequalities (LMIs)
    Circuits Systems and Signal Processing 01/2012; 31(1):329-345. · 0.98 Impact Factor
  • Xiongbo Wan, Huajing Fang
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    ABSTRACT: This article addresses the problem of fault detection (FD) for discrete-time networked systems with global Lipschitz nonlinearities and incomplete measurements, including time delays, packet dropouts and signal quantisation. By utilising a discrete-time homogeneous Markov chain, an improved model which considers packet dropout compensation has been proposed to describe the above network-induced phenomena. We aim to design a mode-dependent fault detection filter (FDF) such that the FD system is asymptotically mean-square stable and satisfies a prescribed attenuation level. The addressed FD problem is then converted into an auxiliary H∞ filtering problem of Markov jump system with time-varying delay. A sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterised. A numerical example is exploited to show the effectiveness of the results obtained.
    International Journal of Systems Science 01/2012; · 1.31 Impact Factor
  • Xiongbo Wan, Huajing Fang
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    ABSTRACT: This paper addresses the problem of fault detection (FD) for discrete‐time systems with global Lipschitz conditions and network‐induced uncertainties. By utilizing Bernoulli stochastic variables and a switching signal, a unified measurement model is proposed to describe three kinds of network‐induced uncertainties, that is, access constraints, time delays, and packet dropouts. We aim to design a mode‐dependent fault detection filter (FDF) such that, for all external disturbances and the above uncertainties, the error between the residual and fault is made as small as possible. The addressed FD problem is then converted into an auxiliary H ∞ filtering problem for discrete‐time stochastic system with multiple time‐varying delays. By applying the Lyapunov‐Krasovskii approach, a sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMI). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the results obtained.Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society
    Asian Journal of Control 01/2012; 14(5). · 1.41 Impact Factor
  • Xiongbo Wan, Huajing Fang, Sheng Fu
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    ABSTRACT: This paper addresses the problem of fault detection for networked discrete-time infinite-distributed delay systems with packet dropouts. Both sensor-to-controller and controller-to-actuator packet dropouts are described by two different Bernoulli distributed white sequences, respectively. The problem addressed is to design an observer-based fault detection filter (FDF) such that the error between the residual and the fault is made as small as possible. Unlike most of the existing literature, we have noted that the control input of the observer is different from that of the plant because of packet dropouts in the controller-to-actuator link. Sufficient condition for the existence of the FDF is derived in terms of some linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the obtained results.
    Applied Mathematical Modelling 01/2012; 36(1):270–278. · 1.71 Impact Factor
  • Source
    Xiongbo Wan, Huajing Fang, Sheng Fu
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    ABSTRACT: This paper addresses the problem of fault detection (FD) for networked systems with access constraints and packet dropouts. Two independent Markov chains are used to describe the sequences of channels which are available for communica-tion at an instant and the packet dropout process, respectively. Performance indexes H∞ and H − are introduced to describe the robustness of residual against external disturbances and sensitivi-ty of residual to faults, respectively. By using a mode-dependent fault detection filter (FDF) as residual generator, the addressed FD problem is converted into an auxiliary filter design problem with the above index constraints. A sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the usefulness of the proposed results. Keywords: fault detection (FD), networked control system (NCS), access constraints, packet dropouts, linear matrix inequality (LMI).
    Journal of Systems Engineering and Electronics 03/2011; 22:127-134. · 0.38 Impact Factor
  • Xiongbo Wan, Huajing Fang
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    ABSTRACT: This paper addresses the H∞ control problem for discrete-time systems subject to three kinds of network-induced incomplete measurements, including time delays, packet dropouts, and access constraints, which are simultaneously described by a new model using Bernoulli stochastic variables and a switching signal. Our aim is to design a controller such that the closed-loop system is asymptotically mean-square stable and also satisfies the prescribed H∞ disturbance attenuation level. By utilizing Lyapunov-Krasovskill approach, a sufficient condition for the existence of the desired controller is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired controller can also be characterized. A numerical example is given to demonstrate the effectiveness of the results proposed. of the authors' knowledge, up to now, for the discrete-time systems in the simultaneous presence of time delays, packet dropouts, and access constraints, the H∞ control problem is still an unsolved challenging problem, which motivates the current study. In this paper, we consider the H∞ control problem for discrete-time system subject to three kinds of network- induced incomplete measurements, including time delays, packet dropouts, and access constraints. Our aim is to de- sign a controller such that the closed-loop system is asymp- totically mean-square stable and also achieves the prescribed H∞ disturbance attenuation level. First, by using Bernoulli stochastic variables and a switching signal, a new model is proposed to simultaneously describe time delays, packet dropouts, and access constraints. Then, by using this new model and Lyapunov-Krasovskii stability theory, a sufficient condition for the existence of the desired controller is de- rived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired controller can also be characterized. Finally, a nu- merical example is given to demonstrate the effectiveness of the results proposed.
    01/2011;
  • Xiongbo Wan, Huajing Fang, Fang Yang
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    ABSTRACT: This paper addresses the problem of fault detection (FD) for discrete-time networked systems with global Lipschitz conditions and imperfect measurements. By using Bernoulli stochastic variables and a switching signal, a unified model is proposed to describe four kinds of imperfect measurements, that is, access constraints, time delays, packet dropouts, and signal quantization. We aim to design a fault detection filter (FDF) such that, for all external disturbances and imperfect measurements, the error between the residual and fault is made as small as possible. The addressed FD problem is then converted into an auxiliary H ∞ filtering problem for discrete-time stochastic switched systems with multiple time-varying delays. By applying Lyapunov-Krasovskii approach, a sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the results obtained.
    International Journal of Control Automation and Systems 10(2). · 0.95 Impact Factor

Publication Stats

3 Citations
10.79 Total Impact Points

Institutions

  • 2013–2014
    • Huazhong Agricultural University
      Wu-han-shih, Hubei, China
  • 2011–2012
    • Huazhong University of Science and Technology
      • Department of Control Science and Engineering
      Wuhan, Hubei, China