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UIO-based Fault Estimation and Accommodation for Nonlinear Switched Systems

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  • Control Theory and Applications
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Abstract

This paper investigates the problems of fault estimation and fault accommodation for a class of nonlinear switched systems. First, an augmented switched system is constructed by forming an augmented state vector composed of the state vector and the fault vectors. Then, an unknown input observer (UIO) is designed for the augmented switched system to estimate the augmented state vector. With the assist of the average dwell-time (ADT) method and the switched Lyapunov function technique, sufficient conditions are obtained to guarantee that the error system is globally uniformly asymptotically stable (GUAS) with a prescribed H∞ performance index. An algorithm is provided to show the procedures on how to design the UIO. Moreover, the results are extended to the measurement disturbances case. Based on signal compensation principle, a dynamic output feedback controller is designed to ensure the asymptotical stability of the closed-loop system. Finally, simulation results are presented to demonstrate the proposed technique.

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References

  1. I. Hwang and Y. Kim, “A survey of fault detection, isolation, and reconfiguration methods,” IEEE Transsctious on Control Systems Technology, vol. 18, no. 3, pp. 636–653, 2010.

    Article  Google Scholar 

  2. X. Liu and Z. W. Gao, “Unknown input observers for fault diagnosis in Lipschitz nonlinear systems,” Proc. of IEEE International Conference on Mechatronics and Automation, Beijing, pp. 1555–1560, 2015.

    Google Scholar 

  3. A. Chakrabarty, M. J. Corless, G. T. Buzzard, S. H. ˙ Zak and A. E. Rundell, “State and unknown input observers for nonlinear systems with bounded exogenous inputs,” IEEE Transactions on Automatic Control, vol. 62, no. 11, pp. 5497–5510, 2017.

    Article  MathSciNet  MATH  Google Scholar 

  4. G. Li, T. Li, and Q. Zhao, “Fault tolerant shape control for particulate process systems under simultaneous actuator and sensor faults,” IET Control Theory & Applications, vol. 11, no. 15, pp. 2448–2457, 2017.

    Article  MathSciNet  Google Scholar 

  5. J. P. Hespanha and A. S. Morse, “Stability of switched systems with average dwell time,” IEEE Conference on Decision & Control, vol. 3, no. 3, pp. 2655–2660, 2002.

    Google Scholar 

  6. J. Li and G. H. Yang, “Fault detection for switched linear parameter–varying systems: an average dwell–time approach,” IET Control Theory & Applications, vol. 7, no. 8, pp. 1120–1130, 2013.

    Article  MathSciNet  Google Scholar 

  7. H. Shokouhi–Nejad, A. R. Ghiasi, and M. A. Badamchizadeh, “Robust simultaneous finite–time control and fault detection for uncertain linear switched systems with time–varying delay,” IET Control Theory & Applications, vol. 11, no. 7, pp. 1041–1052, 2017.

    Article  MathSciNet  MATH  Google Scholar 

  8. L. Li, Y. Jia, J. Du, and S. Yuan, “Robust L2=L¥ control for uncertain singular systems with time–varying delay,” Progress in Natural Science, vol. 18, no. 8, pp. 1015–1021, 2008.

    Article  MathSciNet  Google Scholar 

  9. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1994.

    Book  MATH  Google Scholar 

  10. A. Mahmoudi, A. Momeni, A. G. Aghdam, and P. Gohari, “Switching between finite–time observers,” European Journal of Control, vol. 14, no. 4, pp. 297–307, 2008.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. J. Patton, P. M. Frank, and R. N. Clark, Issues of Fault Diagnosis for Dynamic Systems, Springer–Verlag, London Ltd, 2000.

    Book  Google Scholar 

  12. J. Chen and R. J. Patton, Robust Model–based Fault Diagnosis for Dynamic Systems, Kuwer Academic Publishers, Boston, 1999.

    Book  Google Scholar 

  13. Z. H. Mao, Y. F. Pan, B. Jiang, and W. Chen, “Fault detection for a class of nonlinear networked control systems with communication constraints,” International Journal of Control, Automation, and Systems, vol. 16, no. 1, pp. 256–264, 2018.

    Article  Google Scholar 

  14. D. S. Du and S. Y. Xu, “Actuator fault detection for discrete–time switched linear systems with output disturbance,” International Journal of Control, Automation and Systems, vol. 15, no. 6, pp. 2590–2598, 2017.

    Article  Google Scholar 

  15. R. Carl Raoufi, H. J. Marquez, and A. S Zinober, “Sliding mode observer for uncertain nonlinear Lipschitz systems with fault estimation synthesis,” International Journal of Robust and Nonlinear Control, vol. 20, no. 16, pp. 1785–1801, 2010.

    MathSciNet  MATH  Google Scholar 

  16. S. Song, J. Liu, and H. Wang, “Adaptive fault tolerant control for a class of nonlinear switched systems,” IEEE Access, vol. 6, pp. 7728–7738, 2018.

    Article  Google Scholar 

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Authors and Affiliations

  1. Faculty of Automation, Huaiyin Institute of Technology, 1 East Meicheng Road, Huaian, Jiangsu, 223003, P. R. China

    Haoshuang Chen, Dongsheng Du, Dewen Zhu & Yan Yang

Authors
  1. Haoshuang Chen
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  2. Dongsheng Du
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  3. Dewen Zhu
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  4. Yan Yang
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Corresponding author

Correspondence to Dongsheng Du.

Additional information

Recommended by Editor Jessie (Ju H.) Park. This work was supported by the National Natural Science Foundation of P. R. China (No. 61873107), the National Science Foundation for Post-doctoral Scientists of China (2016M601814), Post-doctoral Foundation of Jiangsu Province (1601005B), and the Practical Innovation Project for Graduate Student of Jiangsu Province (HGYK201806).

Haoshuang Chen received the B.Eng. degree in Measurement and Control Technology and Instruments from Huaiyin Normal University, Huaian, China, in 2016. She is currently working toward a M.S. degree in chemical engineering at the Huaiyin Institute of Technology, Huaian, China. Her research interests include fault diagnosis, fault tolerant control and switched system.

Dongsheng Du received the B.Sc. degree in applied mathematics and M.Sc. degree in control theory from Qufu Normal University, Qufu, China, in 2003 and 2006, the 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 lecture with 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.

Dewen Zhu received the B.Eng. degree in automatics from Jinling Institute of Technology, Nanjing, China, in 2015. He is currently working toward a M.S. degree in chemical engineering at the Huaiyin Institute of Technology, Huaian, China. His research interests include fault diagnosis, fault tolerant control and switched system.

Yan Yang received her M.S. degree from China University of Mining and Technology, she is currently working toward a Ph.D. in College of Electrical Engineering and Computer Science, National Taiwan University of Science and Technology. She is a lecturer in the Department of Automation, Huaiyin Institute of Technology. Her research interests are in nonlinear control of converter, inverter and charging devices of electric vehicles.

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Chen, H., Du, D., Zhu, D. et al. UIO-based Fault Estimation and Accommodation for Nonlinear Switched Systems. Int. J. Control Autom. Syst. 17, 435–444 (2019). https://doi.org/10.1007/s12555-018-0314-4

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  • DOI: https://doi.org/10.1007/s12555-018-0314-4

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