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Fault Estimation and Compensation for Fuzzy Systems with Sensor Faults in Low-Frequency Domain

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Communications, Signal Processing, and Systems (CSPS 2020)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 654))

Abstract

A new fault estimation and compensation scheme of fuzzy systems with sensor faults is addressed in low-frequency domain. A descriptor observer is proposed to ensure dynamic error’s stability and \(H_\infty \) performance for low-frequency range. The faults estimation is obtained via the observer above. By considering estimation of faults, a \(H_\infty \) output feedback controller is shown such that controlled model with sensor faults considered has certain fault-tolerant function. A simulation proves this results’ effectiveness.

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References

  1. Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modeling and control. IEEE Trans Syst Man Cybern SMC-15:116–132

    Google Scholar 

  2. Yang H, Shi P, Zhang J, Qiu J (2012) Robust \(H_\infty \) control for a class of discrete time fuzzy systems delta operator approach. Inf Sci 184:230–245

    Article  MathSciNet  Google Scholar 

  3. He S, Liu F (2011) Filtering-based robust fault detection of fuzzy jump systems. Fuzzy Sets Syst 185:95–110

    Article  MathSciNet  Google Scholar 

  4. Zhang J, Shi P, Xia Y (2013) Fuzzy delay compensation control for T-S fuzzy systems over network. IEEE Trans Cybern 43:259–268

    Article  Google Scholar 

  5. Liu M, Cao X, Shi P (2013) Fault estimation and tolerant control for fuzzy stochastic systems. IEEE Trans Fuzzy Syst 21:221–229

    Article  Google Scholar 

  6. Ding D, Yang G (2010) Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans Fuzzy Syst 18:935–945

    Article  Google Scholar 

  7. Iwasaki T, Hara S (2005) Generalized KYP lemma: unified frequency domain inequalities with design applications. IEEE Trans Autom Control 50:41–59

    Google Scholar 

  8. Wang H, Peng L, Ju H, Wang Y (2013) \(H_\infty \) state feedback controller design for continuous-time T-S fuzzy systems in finite frequency domain. Inf Sci 223:221–235

    Article  MathSciNet  Google Scholar 

  9. Yang H, Xia Y, Liu B (2011) Fault detection for T-S fuzzy discrete systems in finite frequency domain. IEEE Trans Syst Man Cybern-Part B: Cybern 41:911–920

    Article  Google Scholar 

  10. Ding D, Yang G (2010) Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Trans Fuzzy Syst 18:935–945

    Article  Google Scholar 

  11. Li X, Yang G (2014) Fault detection in finite frequency domain for Takagi-Sugeno fuzzy systems with sensor faults. IEEE Trans Cybern 44:1446–1458

    Article  Google Scholar 

  12. Sloth C, Esbensen T, Stoustrup J (2010) Active and passive fault-tolerant LPV control of wind turbines. In: American control conference. IEEE Press, Baltimore, pp 4640–4646

    Google Scholar 

  13. Jiang J, Yu X (2012) Fault-tolerant control systems: a comparative study between active and passive approaches. Ann Rev Control 36:60–72

    Article  Google Scholar 

  14. Benosman M, Lum K (2010) Passive actuators’ fault-tolerant control for affine nonlinear systems. IEEE Trans Control Syst Technol 18:152–163

    Article  Google Scholar 

  15. Su L, Zhu X, Qiu J, Zhou C, Zhao Y, Gou Y (2010) Robust passive fault-tolerant control for uncertain non-linear stochastic systems with distributed delays. In: The 29th Chinese control conference (CCC). IEEE Press, New York, pp 1949–1953

    Google Scholar 

  16. Su L, Zhu X, Zhou C, Qiu J (2011) An LMI approach to reliable \(H_\infty \) guaranteed cost control for uncertain non-linear stochastic Markovian jump systems with mode-dependent and distributed delays. ICIC Express Lett 5:249–254

    Google Scholar 

  17. Zhu X, Xia Y, Fu M (2020) Fault estimation and active fault-tolerant control for discrete-time systems in finite-frequency domain. ISA Trans 104:184–191

    Article  Google Scholar 

  18. Lin Z, Lin Y, Zhang W (2010) \(H_\infty \) stabilisation of non-linear stochastic active fault-tolerant control systems: fuzzy-interpolation approach. IET Control Theory Appl 4:2003–2017

    Google Scholar 

  19. Liu M, Shi P (2013) Sensor fault estimation and tolerant control for It\(\hat{o}\) stochastic systems with a descriptor sliding mode approach. Automatica 49:1242–250

    Article  MathSciNet  Google Scholar 

  20. Yang H, Shi P, Li X, Li Z (2014) Fault-tolerant control for a class of T-S fuzzy systems via delta operator approach. Sig Process 98:166–173

    Article  Google Scholar 

Download references

Acknowledgments

The authors thank the reviewers for their valuable comments and help to improve the quality of this paper. The work was supported by the Ludong University Introduction of Scientific Research Projects under Grant LB2016034, the Natural Science Foundation of Shandong Province under Grant ZR2019PF009 and the Foundation of Shandong Educational Committee under Grant J17KA051.

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Authors and Affiliations

  1. School of Chemistry and Materials Science, Ludong University, Yantai, 264025, China

    Yu Chen

  2. School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China

    Xiaodan Zhu & Jianzhong Gu

Authors
  1. Yu Chen
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  2. Xiaodan Zhu
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  3. Jianzhong Gu
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Corresponding authors

Correspondence to Yu Chen or Xiaodan Zhu .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Texas at Arlington, Arlington, TX, USA

    Qilian Liang

  2. Tianjin Normal University, Tianjin, China

    Wei Wang

  3. Dalian University of Technology, Dalian, China

    Xin Liu

  4. School of Information Science and Technology, Dalian Maritime University, Dalian, China

    Zhenyu Na

  5. Huazhong Agricultural University, Wuhan, China

    Xiaoxia Li

  6. College of Electronic and Communication Engineering, Tianjin Normal University, Tianjin, China

    Baoju Zhang

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Chen, Y., Zhu, X., Gu, J. (2021). Fault Estimation and Compensation for Fuzzy Systems with Sensor Faults in Low-Frequency Domain. In: Liang, Q., Wang, W., Liu, X., Na, Z., Li, X., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2020. Lecture Notes in Electrical Engineering, vol 654. Springer, Singapore. https://doi.org/10.1007/978-981-15-8411-4_106

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  • DOI: https://doi.org/10.1007/978-981-15-8411-4_106

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-8410-7

  • Online ISBN: 978-981-15-8411-4

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