Skip to main content

Design of Augmented Observer for Rotor Systems

  • Chapter
  • First Online:
IAENG Transactions on Engineering Technologies

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 247))

  • 1633 Accesses

Abstract

Observers are widely used in state space control and model based fault diagnosis processes. However disturbances and model uncertainties often have large impact on the observation results regarding system states or outputs and result in reduced control or fault diagnosis performances. In rotor systems, observer design often faces two major problems: unbalances acting on the shaft are never known to full extent and in case of a rotor with large discs, gyroscopic effect results in variation of system behavior dependent on rotor rotary frequency. The predominant disturbances e.g. unbalance forces and model uncertainties caused by gyroscopic effect appear in rotor systems in a sinusoidal form with rotor rotary frequency. The influences of unbalance forces and gyroscopic effect can be considered as unknown inputs, and the signals of unknown inputs are also sinusoidal. Augmented observers that account for sinusoidal unknown inputs can be used to take advantage of this characteristic of rotor systems. The augmented observer can be applied in the control or fault diagnosis processes and can be used to estimate the distribution matrix of unknown inputs. According to the design purpose, different configurations of the augmented observer are investigated and their restrictions are discussed in this work. The performance of the augmented observer are presented and discussed with the respect to system states observation as well as fault detection and isolation.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
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

  1. Chen J, Patton R (1999) Robust model-based fault diagnosis for dynamic systems. Kluwer Academic Publishers, Boston

    Book  MATH  Google Scholar 

  2. Ding SX (2008) Model-based fault diagnosis techniques. Springer, Berlin

    Google Scholar 

  3. Genta G (2005) Dynamics of rotating systems. Springer, Berlin

    Book  Google Scholar 

  4. Hautus MLJ (1969) Controllability and observability conditions of linear autonomous systems. Indagationes Mathematicae 31:443–448

    MathSciNet  Google Scholar 

  5. Isermann R (2006) Fault-diagnosis systems. Springer, Berlin

    Google Scholar 

  6. Johnson CD (1968) Optimal control of the linear regulator with constant disturbances. IEEE Trans Autom Control 13(4):416–421

    Article  Google Scholar 

  7. Johnson CD (1970) Further study of the linear regulator with disturbances - the case of vector disturbances satisfying a linear differential equation. IEEE Trans Autom Control 15(2):222–228

    Article  Google Scholar 

  8. Levine W (2010) The control handbook. CRC Press Inc, Boca Raton

    Google Scholar 

  9. Patton R, Chen J (1991) A robust parity space approach to fault diagnosis based on optimal eigenstructure assignment. In Proceedings of the IEE Internatinonal Conference Controlõ91 (Edinburgh (1991) Peregrinus Press. 332:1056–1061

    Google Scholar 

  10. Patton RJ, Chen J (1991) Robust fault detection using eigenstructure assignment: A tutorial consideration and some new results. In Proceedings of the 30th IEEE Conference on Decision & Control ,Brighton, UK, pp 2242–2247

    Google Scholar 

  11. Patton RJ, Chen J (1993) Optimal unknown input distribution matrix selection in robust fault diagnosis. Automatica 29(4):837–841

    Article  MATH  Google Scholar 

  12. Patton RJ, Chen J, Zhang HY (1992) Modelling methods for improving robustness in fault diagnosis of jet engine system. In: Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, Arizona, pp 2330–2335

    Google Scholar 

  13. Patton RJ, Zhang HY, Chen J (1992) Modelling of uncertainties for robust fault diagnosis. In: Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, Arizona, pp 921–926

    Google Scholar 

  14. Varga A (2007) On designing least order residual generators for fault detection and isolation. In: Proceedings of 16th International Conference on Control Systems and Computer Science, Bucharest, Romania, pp 323–330

    Google Scholar 

  15. Varga A (2008) On computing nullspace bases - a fault detection perspective. In: Proceedings IFAC 2008 World Congress, Seoul, South Korea, pp 6295–6300

    Google Scholar 

  16. Wang Z, Schittenhelm RS, Rinderknecht S (2012) Augmented observer for fault detection and isolation (FDI) in rotor systems. In lecture notes in engineering and computer science. In: Proceedings of the world congress on engineering and computer science, vol 1. San Francisco, USA, 24–26 Oct 2012, pp 336–341

    Google Scholar 

  17. Wang Z, Schittenhelm RS, Rinderknecht S (2012) Observer design for unbalance excited rotor systems with gyroscopic effect. In: Proceedings of IEEE international conference on mechatronics and automation

    Google Scholar 

  18. Wang Z, Wahrburg A, Rinderknecht S (2012) Consideration of gyroscopic effect in fault detection and isolation for unbalance excited rotor systems. Int J Rotating Mach 2012:14

    Google Scholar 

  19. Watanabe K, Himmelblau DM (1982) Instrument fault detection in systems with uncertainties. Int J Syst Sci 13(2):137–158

    Article  MATH  Google Scholar 

Download references

Acknowledgments

This work is based on a research project in partnership with Rolls-Royce Deutschland Ltd and Co KG. and supported by German Research Foundation (DFG) within the framework of the graduate college GRK1344 “Instationäre Systemmodellierung von Flugtriebwerken”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhentao Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Wang, Z., Schittenhelm, R.S., Rinderknecht, S. (2014). Design of Augmented Observer for Rotor Systems. In: Kim, H., Ao, SI., Amouzegar, M., Rieger, B. (eds) IAENG Transactions on Engineering Technologies. Lecture Notes in Electrical Engineering, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6818-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-6818-5_6

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6817-8

  • Online ISBN: 978-94-007-6818-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics