Skip to main content
SpringerLink
Log in

Control-Oriented Linear Fractional Transformation

  • Chapter
  • First Online:
Robust Control-Oriented Linear Fractional Transform Modelling

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 453))

  • 188 Accesses

Abstract

The process of obtaining the mathematical representation of the physical system is termed 'modelling'. The basic concept of modelling of the dynamic system is based on the differential equations to describe the appropriate physical situation.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
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. Bender, E.A.: An Introduction to Mathematical Modeling. Wiley, New York (1978)

    MATH  Google Scholar 

  2. Schichl, H.: Models and history of modelling. In: Kallrath J (ed) Modeling Languages in Mathematical Optimization, pp. 25–36. Kluwer, Boston

    Google Scholar 

  3. Grosan, C., Abraham, A.: A new approach for solving nonlinear equations systems. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 38(3) (2008)

    Google Scholar 

  4. Sharma, R., Nesic, D., Manzie, C.: Control oriented modeling of turbocharged (TC) spark ignition (SI) engine. In: SAE Technical Paper, Apr 2009

    Google Scholar 

  5. Zhou, K., Doyle, J.C.: Essentials of Robust Control. Prentice-Hall, New Jersey (1998)

    MATH  Google Scholar 

  6. Wang, Z., Behal, A.: Continuous robust control for a class of uncertain MIMO nonlinear systems. In: Proceedings of 50th IEEE Conference on Decision and Control and European Control Conference, pp. 7561–7566, 12–15 Dec 2011

    Google Scholar 

  7. Xingfeng, Z., Zhiqiang, Z.: Uncertainty modeling and robustness analysis of flight control using μ-analysis techniques. In: Proceedings of Innovation Computing Information and Control (ICICIC 2008), pp. 490–497, 18–20 June 2008

    Google Scholar 

  8. Gu, D.W., Petkov, P.H., Konstantinov, M.M.: Robust control design with MATLAB, 1st edn. Springer, Germany (2005)

    Google Scholar 

  9. Hecker, S., Varga, A.: Symbolic manipulation techniques for low order LFT-based parametric uncertainty modeling. Int. J. Control 79(11), 1485–1494 (2006)

    Article  MATH  Google Scholar 

  10. Chen, J., Gu, G.: Control-Oriented System Identification: An H∞ Approach. Wiley, New York (2000)

    Google Scholar 

  11. Arias, D.L., Scharnhorst, A.: Mathematical approaches to modeling science from an algorithmic-historiography perspective. In: Model of Science Dynamic. Springer, Berlin, Heidelberg (2012)

    Google Scholar 

  12. Sinha, N.K.: System identification: from frequency response to soft computing. In: Proceedings of IEEE International Conference on Industrial Technology, vol. 1, pp. 76–80, 19–22 Jan 2000

    Google Scholar 

  13. Helmicki, A.J., Jacobson, C.A., Nett, C.N.: Control oriented system identification: a worst-case /deterministic approach. IEEE Trans. Autom. Control 36(10), 1163–1176 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  14. Corno, M., Bhatt, N., Verhaegen, M.: An efficient control oriented modeling approach for lithium ion cells. In: 2010 American Control Conference, Fairmont Queen Elizabeth, Montréal, Canada, 27–29 June 2012

    Google Scholar 

  15. Cheong, K.L., Li, P.Y., Xia, J.: Control oriented modeling and system identification of a diesel generator set (Genset). In: 2010 American Control Conference, Marriott Waterfront, Baltimore, MD, USA, 30 June–02 July 2010

    Google Scholar 

  16. Oberg, P., Eriksson, L.: Control oriented modeling of the gas exchange process in variable cam timing engines. In: SAE Technical Paper, Jan 2006

    Google Scholar 

  17. Laan, E.V.D., Veldpaus, F., Steinbuch, M.: Control oriented modeling of vehicular occupants and restraint systems. In: Proceedings of International IRCOBI Conference on the Biomechanics of Injury, pp. 47–58, Sept 2007

    Google Scholar 

  18. Kunusch, C., Puleston, P.F., Mayosky, M.A., Husar, A.P.: Control oriented modeling and experimental validation of a PEMFC generation system. IEEE Trans. Energy Convers. 26(3), 851–861 (2011)

    Article  Google Scholar 

  19. Sigthorsson, D.O.: Control-oriented modeling and output feedback control of hypersonic air-breathing vehicles. Ph.D. thesis, The Ohio State University (2008)

    Google Scholar 

  20. Gosiewski, Z.: Control-oriented modeling and control of rotor vibration. ActaMechanica et Automatica 2(2) (2008)

    Google Scholar 

  21. Savaresi, S.M., Tanelli, M.: Active Braking Control Systems Design for Vehicles. Springer (2010)

    Google Scholar 

  22. Pfifer, H., Hecker, S.: Mixed parametric/unstructured LFT modeling for robust controller design. In: Proceedings of American Control Conference, pp. 727–732, 29 June 29–01 July 2011

    Google Scholar 

  23. Kučera, V.: Robustníregulátory (robust controllers). Automa 7(6), 43–45 (2001). (In Czech)

    Google Scholar 

  24. Paw, Y.C., Balas, G.J.: Parametric uncertainty modeling for LFT model realization. In: Proceedings of IEEE International Conference on Computer-Aided Control System Design San Antonio, pp. 834–839, 3–5 Sept 2008

    Google Scholar 

  25. Swaminathan, R., Ramkumar, K., Kumar, S.R.: Design of linear fractional transformation based robust control for interacting pressure tank process. In: Proceedings of IEEE International Conference on Advances in Engineering, Science and Management (ICAESM-2012), pp. 136–140, 30 Mar–13 Apr 2012

    Google Scholar 

  26. Conway, R., Felix, S., Horowitz, R.: Parametric uncertainty identification and reduction for robust Synthesis for track-following in dual-stage hard disk drives. In: Proceedings of American Control Conference, pp. 68–75, July 2007

    Google Scholar 

  27. Tatang, M.A., Pan, W., Prinn, R.G., Mcrae, G.J.: An efficient method for parametric uncertainty analysis of numerical geophysical models. J. Geophys. Res. 102, 21925–21932 (1997)

    Article  Google Scholar 

  28. Garulli, A., Tesi, A., Vicino, A.: Uncertainty model for robustness analysis. In: Control Systems Robotics and Automation, vol. IX, Oxford, UK (2004)

    Google Scholar 

  29. Boukarim, G.E., Chow, J.H.: Modeling of nonlinear system uncertainties using a linear fractional transformation approach. In: Proceedings of the American Control Conference Philadelphia, Pennsylvania, pp. 2973–2979, 21–26 June 1998

    Google Scholar 

  30. Marcos, A., Bates, D.G., Postlethwaite, I.: Exact nonlinear modeling using symbolic linear fractional transformation. In: Proceedings of the 16th IFAC World Congress, vol. 16, no. 1, pp. 31–36, 4–8 July 2005

    Google Scholar 

  31. Hecker, S., Varga, A.: Generalized LFT-based representation of parametric uncertain models. Eur. J. Control 10(4), 326–337 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  32. Wolodkin, G., Rangan, S., Poolla, K.: An LFT approach to parameter estimation. In: Proceedings of the American Control Conference, vol. 3, pp. 2088–2092 (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, MCKV Institute of Engineering, Howrah, India

    Tamal Roy

  2. Department of Electrical Engineering, Jadavpur University, Kolkata, India

    Ranjit Kumar Barai

Authors
  1. Tamal Roy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ranjit Kumar Barai
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Roy, T., Barai, R.K. (2023). Control-Oriented Linear Fractional Transformation. In: Robust Control-Oriented Linear Fractional Transform Modelling. Studies in Systems, Decision and Control, vol 453. Springer, Singapore. https://doi.org/10.1007/978-981-19-7462-5_3

Download citation

Publish with us

Policies and ethics

Search

Navigation