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Finite-Time Unknown Input Observer-Based Distributed Fault Diagnosis for Multi-agent Systems with Disturbances

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Abstract

In this study, based on the finite-time unknown input observer (FT-UIO), the problem of distributed fault diagnosis (FD) for multi-agent systems (MAS) with actuator faults and disturbances is investigated. Firstly, using the communication topology and local information, the global multi-agent system dynamics are represented with respect to a certain agent. Then, in order to construct a FT-UIO at the selected agent, the system will be decomposed into three subsystems after coordinate transformation. Furthermore, constituted by two distinct observers, the FT-UIO is designed to converge in a pre-assigned finite time, which is chosen as the time delay of the observers. With the state estimation obtained from the FT-UIO in the selected agent, a FD algorithm is also proposed to diagnose the faults occurred in its neighbor agents. Finally, simulation results are presented to illustrate the effectiveness and advantages of the proposed FT-UIO-based distributed FD scheme for MAS.

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References

  1. J. Chen, R.J. Patton, Robust Model-Based Fault Diagnosis for Dynamic Systems (Kluwer Academic Publishers, Norwell, 1999)

    Book  MATH  Google Scholar 

  2. S.X. Ding, Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools (Springer, Berlin, 2013)

    Book  MATH  Google Scholar 

  3. P. Dorato, Short time stability in linear time-varying systems. PTOCI. RE Int. Conv. 4, 83–87 (1961)

    Google Scholar 

  4. Z.H. Guan, F.L. Sun, Y.W. Wang et al., Finite-Time consensus for leader-following second-order multi-agent networks. IEEE Trans. Circuits Syst. I Regul. Pap. 59(11), 2646–2654 (2012)

    Article  MathSciNet  Google Scholar 

  5. Y. Guo, S.M. Song, Finite-time control for formation flying spacecraft with coupled attitude and translational dynamics. IEEE Int. Conf. Control Autom. 45(5), 89–94 (2013)

    MathSciNet  Google Scholar 

  6. B. Jiang, K. Zhang, P. Shi, Integrated fault estimation and accommodation design for discrete-time Takagi–Sugeno fuzzy systems with actuator faults. IEEE Trans. Fuzzy Syst. 19(2), 291–304 (2011)

    Article  Google Scholar 

  7. K.S. Lee, T.G. Park, New results on fault reconstruction using a finite-time converging unknown input observer. IET Control Theory Appl. 6(9), 1258–1265 (2012)

    Article  MathSciNet  Google Scholar 

  8. F.L. Lewis, H. Zhang, K. Hengster-Movric, A. Das, Cooperative Control of Multi-agent Systems: Optimal and Adaptive Design Approaches (Springer, New York, 2014), pp. 822–831

    Book  MATH  Google Scholar 

  9. T. Liu, B. Wu, L. Liu et al., Finite-time stability of discrete switched singular positive systems. Circuits Syst. Signal Process. 36(6), 2243–2255 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  10. X. Lu, R. Lu, S. Chen et al., Finite-time distributed tracking control for multi-agent systems with a virtual leader. IEEE Trans. Circuits Syst. I Regul. Pap. 60(2), 352–362 (2013)

    Article  MathSciNet  Google Scholar 

  11. B. Marx, D. Koenig, J. Ragot, Design of observers for Takagi–Sugeno descriptor systems with unknown inputs and application to fault diagnosis. IET Control Theory Appl. 1(5), 1487–1495 (2007)

    Article  MathSciNet  Google Scholar 

  12. E. Moulay, W. Perruquetti, Finite time stability conditions for non-autonomous continuous systems. Int. J. Control 81(5), 797–803 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  13. K.K. Oh, M.C. Park, H.S. Ahn, A survey of multi-agent formation control. Automatica 53, 424–440 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  14. R. Olfati-Saber, Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans. Autom. Control 51(3), 401–420 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  15. L. Qin, X. He, D.H. Zhou, A survey of fault diagnosis for swarm systems. Syst. Sci. Control Eng. Open Access J. 2(1), 13–23 (2014)

    Article  Google Scholar 

  16. X. Qin, H. Fang, X. Liu, Strong tracking filter-based fault diagnosis of networked control system with multiple packet dropouts and parameter perturbations. Circuits Syst. Signal Process. 35(7), 1–20 (2016)

    Article  MATH  Google Scholar 

  17. K. Reif et al., Networked control systems in motor vehicles. ATZelektronik Worldw. 3(4), 18–23 (2008)

    Article  Google Scholar 

  18. W. Ren, R.W. Beard, E.M. Atkins, Information consensus in multivehicle cooperative control. IEEE Control Syst. 129(2), 571–583 (2007)

    Google Scholar 

  19. T. Schetter, M. Campbell, D. Surka, Multiple agent-based autonomy for satellite constellations. Artif. Intell. 145(1–2), 147–80 (2000)

    Google Scholar 

  20. J.Y. Shi, L. Chen, W.W. Cui, A new hybrid fault diagnostic method for combining dependency matrix diagnosis and fuzzy diagnosis based on an enhanced inference operator. Circuits Syst. Signal Process. 35(1), 1–28 (2016)

    Article  MathSciNet  Google Scholar 

  21. A. Valdes, K. Khorasani, L. Ma. Dynamic neural network-based fault detection and isolation for thrusters in formation flying of satellites, in International Symposium on Neural Networks: Advances in Neural Networks, (Springer, Berlin, 2009), pp. 780–793

  22. X. Wang, H. Su, X. Wang et al., Second-order consensus of multi-agent systems via periodically intermittent pinning control. Circuits Syst. Signal Process. 35(7), 2413–2431 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  23. L. Weiss, E.F. Infante, Finite time stability under perturbing forces and on product spaces. IEEE Trans. Autom. Control 12(1), 54–59 (1967)

    Article  MathSciNet  MATH  Google Scholar 

  24. X. Zhang, Q. Zhang et al., Distributed fault diagnosis in a class of interconnected nonlinear uncertain systems. Int. J. Control 37(11), 170–179 (2012)

    MathSciNet  Google Scholar 

  25. K. Zhang, B. Jiang, V. Cocquempot, Adaptive technique-based distributed fault estimation observer design for multi-agent systems with directed graphs. IET Control Theory Appl. 9(18), 2619–2625 (2015)

    Article  MathSciNet  Google Scholar 

  26. K. Zhang, B. Jiang, P. Shi, V. Cocquempot, Observer-Based Fault Estimation Techniques (Springer, Berlin, 2017)

    Google Scholar 

  27. Y. Zhao, Z. Duan, G. Wen, Finite-time consensus for second-order multi-agent systems with saturated control protocols. IET Control Theory Appl. 9(3), 312–319 (2015)

    Article  MathSciNet  Google Scholar 

  28. M. Zhou, Y. Shen, Q. Wang. Robust UIO-based fault estimation for sampled-data systems: an LMI approach. In IEEE International Conference on Information and Automation, (2013), pp. 1308–1313

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Correspondence to Ke Zhang.

Additional information

This work was supported in part by the National Natural Science Foundation of China (61673207, 61773201, 61533008), in part by Qing Lan Project of Jiangsu Province, in part by the Fundamental Research Funds for the Central Universities (NJ20170005, NJ20170010), in part by A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Chen, X., Zhang, K. & Jiang, B. Finite-Time Unknown Input Observer-Based Distributed Fault Diagnosis for Multi-agent Systems with Disturbances. Circuits Syst Signal Process 37, 4215–4233 (2018). https://doi.org/10.1007/s00034-018-0764-1

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  • DOI: https://doi.org/10.1007/s00034-018-0764-1

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