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Takagi-Sugeno Sliding Mode Observer with a Weighted Switching Action and Application to Fault Diagnosis for Wind Turbines

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Intelligent Systems in Technical and Medical Diagnostics

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 230))

Abstract

Takagi-Sugeno Sliding Mode Observers can be effectively employed for fault diagnosis in nonlinear systems. In this paper, the discontinuous observer term responsible for establishing the sliding motion is modified, such that the individual system output errors can be weighted using appropriate gains. This approach opens up new design possibilities for systems where the orders of magnitude of the individual outputs differ significantly. A formal proof for the existence of the sliding motion when using the modified Takagi-Sugeno Sliding Mode Observer (TS SMO) is given by showing both that the reachability condition can be fulfilled and that the sliding surface is reached in finite time. As an example, the modified TS SMO is used to reconstruct actuator offset faults for wind turbines within a simulation using the aero-elastic code FAST.

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References

  1. Edwards, C., Spurgeon, S.K.: On the Development of Discontinuous Observers. International Journal of Control 59(5), 1211–1229 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Edwards, C., Spurgeon, S.K.: Sliding Mode Control: Theory and Applications. Taylor & Francis, Boca Raton (1998)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. Gerland, P., Gross, D., Schulte, H., Kroll, A.: Design of Sliding Mode Observers for TS Fuzzy Systems with Application to Disturbance and Actuator Fault Estimation. In: 49th IEEE Decision and Control Conf., Atlanta, USA, pp. 4373–4378 (2010)

    Google Scholar 

  5. Schulte, H., Zajac, M., Georg, S.: Takagi-Sugeno Sliding Mode Observer Design for Load Estimation and Sensor Fault Detection in Wind Turbines. In: IEEE International Conference on Fuzzy Systems, Brisbane, Australia, pp. 292–299 (2012)

    Google Scholar 

  6. Jonkman, J.M., Buhl Jr., M.L.: FAST User’s Guide. NREL TP-500-38230. National Renewable Energy Laboratory, Golden, Colorado (2005)

    Google Scholar 

  7. Jonkman, J., Butterfield, S., Musial, W., Scott, G.: Definition of a 5-MW Reference Wind Turbine for Offshore System Development. NREL TP-500-38060. National Renewable Energy Laboratory, Golden, Colorado (2009)

    Google Scholar 

  8. Takagi, T., Sugeno, M.: Fuzzy Identification of Systems and Its Applications to Modeling and Control. IEEE Transactions on Systems, Man, and Cybernetics 15(1), 116–132 (1985)

    Article  MATH  Google Scholar 

  9. Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. John Wiley & Sons, Inc. (2001)

    Google Scholar 

  10. Bianchi, F.D., Battista, H., De Mantz, R.J.: Wind Turbine Control Systems: Principles, Modelling and Gain Scheduling Design. Springer-Verlag London Limited (2007)

    Google Scholar 

  11. Burton, T., Jenkins, N., Sharpe, D., Bossanyi, E.: Wind Energy Handbook, 2nd edn. John Wiley & Sons, Ltd., Chichester (2011)

    Book  Google Scholar 

  12. Georg, S., Schulte, H., Aschemann, H.: Control-Oriented Modelling of Wind Turbines Using a Takagi-Sugeno Model Structure. In: IEEE International Conference on Fuzzy Systems, Brisbane, Australia, pp. 1737–1744 (2012)

    Google Scholar 

  13. Odgaard, P.F., Stoustrup, J., Kinnaert, M.: Fault Tolerant Control of Wind Turbines - a benchmark model. In: 7th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, Barcelona, Spain, pp. 155–160 (2009)

    Google Scholar 

  14. Georg, S., Mueller, M., Schulte, H.: Wind Turbine Model and Observer in Takagi-Sugeno Model Structure. In: Conference ‘The Science of Making Torque from Wind’, European Academy of Wind Energy (EAWE), Oldenburg, Germany (2012)

    Google Scholar 

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Correspondence to Sören Georg .

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Georg, S., Schulte, H. (2014). Takagi-Sugeno Sliding Mode Observer with a Weighted Switching Action and Application to Fault Diagnosis for Wind Turbines. In: Korbicz, J., Kowal, M. (eds) Intelligent Systems in Technical and Medical Diagnostics. Advances in Intelligent Systems and Computing, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39881-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-39881-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39880-3

  • Online ISBN: 978-3-642-39881-0

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