Skip to main content

Abstract

This chapter presents an adaptive decoupling strategy to separate the FE and FTC designs. An adaptive sliding mode augmented state unknown input observer is designed to actively estimate the perturbations together with the system state and faults. The effects of estimation errors and perturbations are compensated together with the faults using an adaptive backstepping controller. This chapter considers a more general class of actuator faults that can be differentiable or non-differentiable, and matched or unmatched.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Bélanger PR (1995) Control engineering: a modern approach. Oxford University Press, Inc, Oxford

    Google Scholar 

  • Chan JCL, Tan CP, Trinh H (2017) Robust fault reconstruction for a class of infinitely unobservable descriptor systems. Int J Syst Sci 48(8):1646–1655

    Article  MathSciNet  Google Scholar 

  • Chen J, Patton RJ (1999) Robust model-based fault diagnosis for dynamic systems. Kluwer Academic Publishers, London

    Book  Google Scholar 

  • Chen WH, Yang J, Guo L, Li S (2016) Disturbance-observer-based control and related methods-an overview. IEEE Trans Ind Electron 63(2):1083–1095

    Google Scholar 

  • Corless M, Tu J (1998) State and input estimation for a class of uncertain systems. Automatica 34(6):757–764

    Article  MathSciNet  Google Scholar 

  • Dai L (1989) Singular control systems. Springer, Berlin

    Book  Google Scholar 

  • Edwards C, Spurgeon SK, Patton RJ (2000) Sliding mode observers for fault detection and isolation. Automatica 36(4):541–553

    Google Scholar 

  • Eugene L, Kevin W, Howe D (2013) Robust and adaptive control with aerospace applications. Springer, London

    Google Scholar 

  • Gao Z, Liu X, Chen MZ (2016) Unknown input observer-based robust fault estimation for systems corrupted by partially decoupled disturbances. IEEE Trans Ind Electron 63(4):2537–2547

    Google Scholar 

  • Hardy GH (1916) Weierstrass’s non-differentiable function. Trans Amer Math Soc 17(3):301–325

    MathSciNet  MATH  Google Scholar 

  • Isidori A (1995) Nonlinear control systems. Springer, London

    Book  Google Scholar 

  • Jiang B, Staroswiecki M, Cocquempot V (2006) Fault accommodation for nonlinear dynamic systems. IEEE Trans Autom Control 51(9):1578–1583

    Article  MathSciNet  Google Scholar 

  • Krstic M, Kokotovic PV, Kanellakopoulos I (1995) Nonlinear and adaptive control design. Wiley, New York

    Google Scholar 

  • Ooi JHT, Tan CP, Nurzaman SG, Ng KY (2017) A sliding mode observer for infinitely unobservable descriptor systems. IEEE Trans Autom Control 62(7):3580–3587

    Article  MathSciNet  Google Scholar 

  • Polyakov A (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control 57(8):2106–2110

    Article  MathSciNet  Google Scholar 

  • Utkin VI (1992) Sliding modes in control and optimization. Springer Science & Business Media, Berlin

    Google Scholar 

  • Yu J, Liu Z (2009) Fault reconstruction based on sliding mode observer for linear descriptor systems. In: Proceedings of Asian control conference, IEEE, pp 1132–1137

    Google Scholar 

  • Zames G (1966) On the input-output stability of time-varying nonlinear feedback systems part one: Conditions derived using concepts of loop gain, conicity, and positivity. IEEE Trans Autom Control 11(2):228–238

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jianglin Lan .

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Lan, J., Patton, R.J. (2021). Adaptive Decoupling Integration of FE and FTC. In: Robust Integration of Model-Based Fault Estimation and Fault-Tolerant Control. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-030-58760-4_7

Download citation

Publish with us

Policies and ethics