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High-gain approach based full-order observers for linear systems with unknown inputs

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Abstract

In this paper, a full-order observer which can be fully decoupled from the unknown inputs as the conventional full-order observer does is designed by using auxiliary outputs, but the requirement of the matching condition is removed. The procedure of calculating the parameter matrices of the full-order observer is also presented. Compared with the existing auxiliary outputs based sliding-mode observers, the designed observer has a simpler design procedure, which is systematic and does not involve solving linear matrix inequalities. The simulation results show that the proposed method is effective.

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References

  1. Patton R J, Frank P M, Clark R. Fault Diagnosis in Dynamic Systems: Theory and Application[M]. Prentice Hall, New York, USA, 1989.

    Google Scholar 

  2. Frank P M. Fault diagnosis in dynamic system using analytical and knowledge-based redundancy:A survey and some new results[J]. Automatica, 1990, 26(3):459–474.

    Article  Google Scholar 

  3. Wang H, Daley S. Actuator fault diagnosis: An adaptive observer-based technique[J]. IEEE Transactions on Automatic Control, 1996, 41(7):1073–1078.

    Article  MathSciNet  MATH  Google Scholar 

  4. Chen J, Patton R J, Zhang H Y. Design of unknown input observers and robust fault detection filters[J]. International Journal of Control, 1996, 63(1):85–105.

    Article  MathSciNet  MATH  Google Scholar 

  5. Chen J, Patton R J. Robust Model-Based Fault Diagnosis for Dynamic Systems[M]. Kluwer Academic Publishers, USA, 1999.

    Book  MATH  Google Scholar 

  6. Edwards C, Spurgeon S K, Patton R J. Sliding mode observers for fault detection and isolation[J]. Automatica, 2000, 36(4):541–553.

    Article  MathSciNet  MATH  Google Scholar 

  7. Tan C P, Edwards C. Sliding mode observers for robust detection and reconstruction of actuator and sensor faults[J]. International Journal of Robust and Nonlinear Control, 2003, 13(5):443–463.

    Article  MathSciNet  MATH  Google Scholar 

  8. Floquet T, Barbot J P, Perruquetti W et al. On the robust fault detection via a sliding mode observer[J]. International Journal of Control, 2004, 77(7):622–629.

    Article  MathSciNet  MATH  Google Scholar 

  9. Wang J L, Yang G H, Liu J. An LMI approach to Hindex and mixed H-/H8 fault detection observer design[J]. Automatica, 2007, 43(9):1656–1665.

    Article  MathSciNet  Google Scholar 

  10. Jordi Meseguer, Vicenç Puig, Teresa Escobet et al. Observer gain effect in linear interval observer-based fault detection[J]. Journal of Process Control, 2010, 20(8):944–956.

    Article  Google Scholar 

  11. Kok Yew Ng, Chee Pin Tan, Denny Oetomo. Disturbance decoupled fault reconstruction using cascaded sliding mode observers[J]. Automatica, 2012, 48(5):794–799.

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhu Fanglai. State estimation and unknown input reconstruction via both reduced-order and high-order sliding mode observers[J]. Journal of Process Control, 2012, 22(1):296–302.

    Article  Google Scholar 

  13. Mao Zehui, Jiang Bin, Shi Peng. Fault-tolerant control for a class of nonlinear sampled-data systems via a Euler approximate observer[J]. Automatica, 2010, 46(11):1852–1859.

    Article  MathSciNet  MATH  Google Scholar 

  14. Floquet T, Edwards C, Spurgeon S K. On sliding mode observers for systems with unknown inputs[J]. International Journal of Adaptive Control and Signal Processing, 2007, 21(8/9): 638–656.

    Article  MathSciNet  MATH  Google Scholar 

  15. Edwards C, Spurgeon S K. Sliding Mode Control: Theory and Applications[M]. Taylor and Francis Group, UK, 1998.

    Google Scholar 

  16. Kalsi K, Lian J, Hui S et al. Sliding-mode observers for systems with unknown inputs: A high-gain approach[J], Automaitca, 2010, 46(2):347–353.

    Article  MathSciNet  MATH  Google Scholar 

  17. Hui S, Zak S H. Observer design for systems with unknown inputs[J]. International Journal of Applied Mathematics and Computer Science, 2005, 15(4):431–446.

    MathSciNet  MATH  Google Scholar 

  18. Hou M, Müller P C. Design of observers for linear systems with unknown inputs[J]. IEEE Transactions on Automatic Control, 1992, 37(6):871–875.

    Article  MathSciNet  MATH  Google Scholar 

  19. Kalsi K, Lian J, Hui S et al. Sliding-Mode Observers for Systems with Unknown Inputs[EB/OL].https://engineering. purdue. edu/~zak/UIO_SMO_TAC.pdf, 2015.

  20. Xiang J, Su H, Chu J. On the design of Walcott-Zak sliding mode observer[C]. In: American Control Conference. Portland, USA, 2005.

    Google Scholar 

  21. Drazenovic B. The invariance conditions in variable structure systems[J]. Automatica, 1969, 5(3):287–295.

    Article  MathSciNet  MATH  Google Scholar 

  22. Han D, Zhu F. Simultaneous estimation of states and unknown inputs for linear systems based on auxiliary outputs[J]. Acta Automatica Sinica, 2012, 38(6):932–943.

    Article  MathSciNet  MATH  Google Scholar 

  23. Chen W, Saif M. Observer-based strategies for actuator fault detection, isolation and estimation for certain class of uncertain nonlinear systems[J]. IET Control Theory and Applications, 2007, 1(6):1672–1680.

    Article  Google Scholar 

Download references

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Correspondence to Dong Han  (韩 冬).

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Supported by the National Natural Science Foundation of China (No.61203299).

Han Dong, born in 1975, male, Dr, associate researcher .

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Han, D., Liu, J. High-gain approach based full-order observers for linear systems with unknown inputs. Trans. Tianjin Univ. 22, 164–173 (2016). https://doi.org/10.1007/s12209-016-2534-0

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  • DOI: https://doi.org/10.1007/s12209-016-2534-0

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