Skip to main content

On Robust VSS Nonlinear Servomechanism Problem

  • Chapter
  • First Online:
Variable Structure Systems: Towards the 21st Century

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 274))

Abstract

Analogously to the formulation of the so-called classical servomechanism problem, the problem of tracking a reference signal while rejecting the effect of a disturbance signal by means of the VSS technique is studied by formulating the sliding mode servomechanism problem for which conditions for the existence of a solution for in general case and for a classes of nonlinear system presented in the Regular Form or in the Nonlinear Block Controllable Form are derived. The effectiveness of the proposed method is demonstrated by the application to the Pendubot system.

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 PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. El-Chesawi, O.M.E., Zinober, A.S.I. and Billings, S.A., (1983), Analysis and design of variable structure systems using a geometric approach. International Journal of Control Vol. 38, pp. 657–671.

    Article  MathSciNet  Google Scholar 

  2. Byrnes C.I., Priscoli, Delli F., Isidori A., and Kang W., (1997), Structurally stable output regulation of nonlinear systems, Automatica, Vol. 33, No.3, pp. 369–385.

    Article  MATH  MathSciNet  Google Scholar 

  3. Goodall D.P. (1994): Lyapunov stabilization of a class of uncertain affine control systems.-Lecture notes in control and Information Sciences 193.-Variable Structure and Lyapunov Control (A. Zinober, Ed.). Springer Verlag, New York.

    Chapter  Google Scholar 

  4. Huang Jie and Ching-Fang Lin (1994). On a robust nonlinear servomechanism problem. IEEE Trans. Aut. Control, Vol. 40, No.6, pp. 131–135.

    Google Scholar 

  5. Huang Jie, (1995). Asymptotic tracking and disturbance rejection in uncertain nonlinear systems. IEEE Trans. Aut. Control, Vol. 39, No.7, pp. 1510–1513.

    Article  Google Scholar 

  6. Isidori A., Byrnes C.I. (1990), Output regulation of nonlinear systems, IEEE Trans. Aut. Control, Vol 35, No.2, pp. 131–140.

    Article  MATH  MathSciNet  Google Scholar 

  7. Luk’yanov A.G. (1993), Optimal Nonlinear Block-Control Method. Proc. of the 2rd European Control Conference, Groningen, pp. 1853–1855.

    Google Scholar 

  8. Loukianov, A.G. (1998), Nonlinear Block Control with Sliding Mode. Automation and Remote Control, v. 59, No.7, pp. 916–933.

    MathSciNet  Google Scholar 

  9. Luk’yanov A.G. and Utkin V.I. (1981), Methods for Reducing Dynamic Systems to Regular Form, Automation and Remote Control, Vol. 42, No.4, (P.1), pp. 413–420. multivariable systems: a tutorial.-Proceedings IEEE 26, pp.1139–1144.

    MathSciNet  Google Scholar 

  10. Utkin V.I. (1992), Sliding Modes in Control and Optimization Springer-Verlag, London.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Utkin, V., Castillo-Toledo, B., Loukianov, A., Espinosa-Guerra, O. (2002). On Robust VSS Nonlinear Servomechanism Problem. In: Yu, X., Xu, JX. (eds) Variable Structure Systems: Towards the 21st Century. Lecture Notes in Control and Information Sciences, vol 274. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45666-X_14

Download citation

  • DOI: https://doi.org/10.1007/3-540-45666-X_14

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42965-4

  • Online ISBN: 978-3-540-45666-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics