Skip to main content

Fault Tolerant Control of LPV Systems Using Robust State-Feedback Control

  • Chapter
  • First Online:
  • 631 Accesses

Part of the book series: Springer Theses ((Springer Theses))

Abstract

The content of this chapter is based on the following works: [1] D. Rotondo, F. Nejjari, V. Puig. Passive and active FTC comparison for polytopic LPV systems. In Proceedings of the 12th European Control Conference (ECC), pages 2951–2956, 2013.

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

Buying options

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

Learn about institutional subscriptions

Notes

  1. 1.

    Notice that the reasoning can be easily generalized to uncertain LPV systems subject to actuator faults, i.e. to the case where A and B are replaced by uncertain \(\tilde{A}\) and \(\tilde{B}\). However, this has not been done in order to keep the formulation simple.

  2. 2.

    Notice that the \(\Delta f(\tau )\) used in the passive FTC error model is different from the \(\Delta f(\tau )\) used in the hybrid FTC error model.

  3. 3.

    Adding an integral action to the controller could eliminate the steady-state error, even though at the expense of worsening the dynamical transient performance of the closed-loop system.

References

  1. Rotondo D, Nejjari F, Puig V (2013) Passive and active FTC comparison for polytopic LPV systems. In: Proceedings of the 12th European control conference (ECC), pp 2951–2956

    Google Scholar 

  2. Rotondo D, Nejjari F, Puig V (2013) Fault tolerant control design for polytopic uncertain LPV systems. In: Proceedings of the 21st mediterranean conference on control and automation (MED), pp 66–72

    Google Scholar 

  3. Rotondo D, Nejjari F, Torren A, Puig V (2013) Fault tolerant control design for polytopic uncertain LPV systems: application to a quadrotor. In: Proceedings of the 2nd international conference on control and fault-tolerant systems (SYSTOL), pages 643–648

    Google Scholar 

  4. Rotondo D, Nejjari F, Puig V (2015) Robust quasi-LPV model reference FTC of a quadrotor UAV subject to actuator faults. Int J Appl Math Comput Sci 25(1):7–22

    Article  MathSciNet  MATH  Google Scholar 

  5. Duan GR, Liu WQ, Liu GP (2001) Robust model reference control for multivariable linear systems subject to parameter uncertainties. Proc Inst Mech Eng; Part I: J Syst Control Eng 215(6):599–610

    Google Scholar 

  6. Abdullah A, Zribi M (2009) Model reference control of LPV systems. J Frankl Inst 346(9):854–871

    Article  MathSciNet  MATH  Google Scholar 

  7. Cauet S, Coirault P, Njeh M (2013) Diesel engine torque ripple reduction through LPV control in hybrid electric vehicle powertrain: experimental results. Control Eng Pract 21(12):1830–1840

    Article  Google Scholar 

  8. Apkarian P, Gahinet P, Becker G (1995) Self-scheduled \({\cal{H}}_\infty \) control of linear parameter-varying systems: a design example. Automatica 31(9):1251–1261

    Article  MathSciNet  MATH  Google Scholar 

  9. Bouabdallah S, Murrieri P, Siegwart R (2004) Design and control of an indoor micro quadrotor. In: Proceedings of the IEEE international conference on robotics and automation (ICRA), pp 4393–4398

    Google Scholar 

  10. Bresciani T (2008) Modelling, identification and control of a quadrotor helicopter. Master’s thesis, Lund University, Sweden

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Damiano Rotondo .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Cite this chapter

Rotondo, D. (2018). Fault Tolerant Control of LPV Systems Using Robust State-Feedback Control. In: Advances in Gain-Scheduling and Fault Tolerant Control Techniques . Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-62902-5_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-62902-5_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62901-8

  • Online ISBN: 978-3-319-62902-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics