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Robust Fault Diagnosis Observer Design for Uncertain Switched Systems

  • Control Theory and Applications
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International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

In order to improve the fault diagnosis theory of switched systems, observer-based method is proposed to deal with the fault diagnosis issue subjected to the parameter uncertainty, unknown process disturbances and unexpected faults. By employing proportional-integral observer (PIO) technique and the average dwell-time (ADT) method, an H/H performance level is considered to ensure the worst case of robustness to the disturbance and sensitivity to the fault simultaneously. Moreover, the obtained fault diagnosis observer can give accurate fault estimation online for the piecewise constant fault. Finally, a two-tank system example is introduced in the end to show the effectiveness of the proposed results.

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References

  1. R. Merzouki, A. K. Samantaray, P. M. Pathak, and B. O. Bouamama, Model-based Fault Diagnosis and Fault Tolerant Control, Springer, 2012.

  2. B. Jiang, K. Zhang, and P. Shi, “Integrated fault estimation and accommodation design for discrete-time Takagi-Sugeno fuzzy systems with actuator faults,” IEEE Transactions on Fuzzy Systems, vol. 19, no. 2, pp. 291–304, 2011.

    Article  Google Scholar 

  3. Q. Su, Z. Fan, D. Zhang, and J. Li, “Finite-time fault detection filtering for switched singular systems with all modes unstable: an ADT approach,” Int. J. of Control, Automation, and Systems, vol. 17, no. 8, pp. 2026–2036, 2019.

    Article  Google Scholar 

  4. S. Yin, H. Gao, J. Qiu, and O. Kaynak, “Descriptor reduced-order sliding mode observers design for switched systems with sensor and actuator faults,” Automatica, vol. 76, pp. 282–292, 2017.

    Article  MathSciNet  Google Scholar 

  5. X. P. Xie, D. Yue, and S. L. Hu, “Fault estimation observer design of discrete-time nonlinear systems via a joint realtime scheduling law,” IEEE Trans. Syst. ManCybern. Syst., vol. 47, no. 7, pp. 1451–1463, 2017.

    Article  Google Scholar 

  6. G. Liu, Y. Cao, and X. Chang, “Fault detection observer design for fuzzy systems with local nonlinear models via fuzzy Lyapunov function,” Int. J. of Control, Automation, and Systems, vol. 15, no. 5, pp. 2233–2242, 2017.

    Article  Google Scholar 

  7. S. Guo and F. Zhu, “Acuator fault detection and interval reconstruction based on interval observers,” IFAC PapersOnLine, vol. 50, no. 1, pp. 5061–5066, 2017.

    Article  Google Scholar 

  8. H. Chen, D. Du, D. Zhu, and Y. Yang, “UIO-based fault estimation and accommodation for nonlinear switched systems,” International Journal of Control, Automation, and Systems, vol. 17, no. 2, pp. 435–444, 2019.

    Article  Google Scholar 

  9. X. Xiao, J. H. Park, L. Zhou, and G. Lu, “Event-triggered control of discrete-time switched linear systems with network transmission delays,” Automatica, vol. 111, Article number 108585, 2020.

  10. A. S. Morse, “Supervisory control of families of linear setpoint controllers part I: exact matching,” IEEE Trans. Automat. Control, vol. 41, no. 10, pp. 1413–1431, 1996.

    Article  MathSciNet  Google Scholar 

  11. J. P. Hespanha and A. S. Morse, “Stability of switched systems with average dwell time,” Proc. 38th Conf. Decis. Control, Phoenix, AZ, USA, pp. 2655–2660, 1999.

  12. L. Zhang, S. Zhuang, and P. Shi, “Non-weighted quasi-time-dependent H filtering for switched linear systems with persistent dwell-time,” Automatica, vol. 54, pp. 201–209, 2015.

    Article  MathSciNet  Google Scholar 

  13. J. Daafouz, P. Riedinger, and C. Iung, “Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach,” IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1883–1887, 2002.

    Article  MathSciNet  Google Scholar 

  14. L. Zhang and P. Shi, “Stability, l2-gain and asynchronous H control of discrete-time switched systems with average dwell time,” IEEE Trans. Automat. Control, vol. 54, no. 9, pp. 2192–2199, 2009.

    Article  MathSciNet  Google Scholar 

  15. D. Wang, W. Wang, and P. Shi, “Robust fault detection for switched linear systems with state delays,” IEEE Trans. Syst. Man, Cybern. B, Cybern., vol. 39, no. 3, pp. 800–805, 2009.

    Article  Google Scholar 

  16. D. Du, B. Jiang, P. Shi, and H. R. Karimi, “Fault detection for continuous-time switched systems under asynchronous switching,” Int. J. Robust Nonlinear Control, vol. 24, no. 11, pp. 1694–1706, 2014.

    Article  MathSciNet  Google Scholar 

  17. X. Su, P. Shi, L. Wu, and Y. Song, “Fault detection filtering for nonlinear switched stochastic systems,” IEEE Trans. Automat. Control, vol. 61, no. 5, pp. 1310–1315, May 2016.

    Article  MathSciNet  Google Scholar 

  18. D. Du, “Fault detection for discrete-time linear systems based on descriptor observer approach,” Appl. Math. Comput., vol. 293, no. 15, pp. 575–585, 2017.

    MathSciNet  MATH  Google Scholar 

  19. J. Li, K. Pan, D. Zhang, and Q. Su, “Robust fault detection and estimation observer design for switched systems,” Nonlinear Analysis: Hybrid Systems, vol. 34, pp. 30–42, 2019.

    MathSciNet  MATH  Google Scholar 

  20. D. Du, V. Cocquempot, and B. Jiang, “Robust fault estimation observer design for switched systems with unknown input,” Appl. Math. Comput., vol. 348, pp. 70–83, 2019.

    Article  MathSciNet  Google Scholar 

  21. J. Han, X. Liu, X. Wei, X. Hu, and H. Zhang, “Reducedorder observer based fault estimation and fault-tolerant control for switched stochastic systems with actuator and sensor faults,” ISA Transactions, vol. 88, pp. 91–101, 2019.

    Article  Google Scholar 

  22. D. Du and V. Cocquempot, “Non-fragile actuator fault estimation and accommodation for switched systems,” IFACPapersOnLine, vol. 51, no. 24, pp. 110–116, 2018.

    Google Scholar 

  23. I. R. Petersen, “A stabilization algorithm for a class of uncertain linear systems,” Systems Control Letters, vol. 8, no. 4, pp. 351–357, 1987.

    Article  MathSciNet  Google Scholar 

  24. F. Li, P. Shi, L. G. Wu, and X. Zhang, “Fuzzy-model-based D-stability and nonfragile control for discrete-time descriptor systems with multiple delays,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 4, pp. 1019–1025, 2014.

    Article  Google Scholar 

  25. K. Zhang, B. Jiang, and V. Cocquempot, “Robust fault estimation observer design with finite-time convergence specification,” IET Control Theory & Application, vol. 11, no. 1, pp. 1–9, 2017.

    Article  MathSciNet  Google Scholar 

  26. I. R. Petersen, “A stabilization algorithm for a class of uncertain linear systems,” Systems and Control Letters, vol. 8, no. 4, pp. 351–357, 1987.

    Article  MathSciNet  Google Scholar 

  27. A. Mahmoudi, A. Momeni, A.G. Aghdam, and P. Gohari, “Switching between finite-time observers,” Eur. J. Control, vol. 14, no. 4, pp. 297–307, 2008.

    Article  MathSciNet  Google Scholar 

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Correspondence to Dongsheng Du.

Additional information

Recommended by Editor Jessie (Ju H.) Park.

This work is supported by the National Natural Science Foundation of China (No. 61873107), the National Science Foundation for Post-doctoral Scientists of China (2016M601814), and Post-doctoral Foundation of Jiangsu Province (1601005B).

Dongsheng Du received his B.S. degree in mathematics and applied mathematics, an M.S. degree in control theory from Qufu Normal University, Qufu, China, in 2003 and 2006, respectively, and a Ph.D. in control theory and engineering from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2012. From 2008 to 2013, he was a lecturer with the School of Science, Huaihai Institute of Technology. From 2015, he was an Associate Professor with Faculty of Automation, Huaiyin Institute of Technology. From Nov. 2016 to Nov. 2017, he was a visiting scholar with Centre de Recherche en Informatique, Signal et Automatique de Lille, Polytech’Lille, France. His current research interests include fault diagnosis, fault tolerant control and switched system.

Yue Yang received her B.S. degree in Nanjing University of Science and Technology, Nanjing, Chian, in 2018. From 2018 to 2021, she is studying for an M.S. degree in Huaiyin Institute of Technology. Her current research interests include fault diagnosis and its application.

Huanyu Zhao received his B.S. degree in mathematics and applied mathematics from Hubei University in 2005, and a Ph.D. degree in control science and engineering from the Nanjing University of Science and Technology in 2011. In 2010, he was an exchange Ph.D. student with the Department of Electrical and Computer Engineering, Utah State University. From 2013 to 2014, he was a Post-Doctoral Candidate with the Department of Electrical Engineering, Yeungnam University, South Korea. In 2016, he was a Visiting Scholar with the Department of Electrical and Computer Engineering, National University of Singapore. He is currently an Associate Professor with Huaiyin Institute of Technology. His research interests include Markov switching systems, cooperative control of multi-agent systems, and game theory.

Yushun Tan received his B.S. degree in mathematics and applied mathematics from Qufu Normal University, Qufu, China in 2003, an M.S. degree in probability statistics from Huazhong University of Science and Technology, Wuhan, China, in 2006, and a Ph.D. degree in system engineering from Southeast University, Nanjing, China, in 2015. From 2016, he worked as a postdoctoral researcher in School of Automation, Southeast University. Currently, he is a visiting fellow in City University of Hong Kong. He has been with the College of Applied Mathematics, Nanjing University of Finance and Economics since 2006. His research interests include networked control systems, and complex dynamical networks.

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Du, D., Yang, Y., Zhao, H. et al. Robust Fault Diagnosis Observer Design for Uncertain Switched Systems. Int. J. Control Autom. Syst. 18, 3159–3166 (2020). https://doi.org/10.1007/s12555-019-0870-2

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