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On Robust VSS Nonlinear Servomechanism Problem

  • Vadim Utkin
  • B. Castillo-Toledo
  • A. Loukianov
  • O. Espinosa-Guerra
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (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.

Keywords

Nonlinear System Sliding Mode Slide Mode Controller Variable Structure System Asymptotic Tracking 
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References

  1. 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.CrossRefMathSciNetGoogle Scholar
  2. 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.zbMATHCrossRefMathSciNetGoogle Scholar
  3. 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.CrossRefGoogle Scholar
  4. 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. 5.
    Huang Jie, (1995). Asymptotic tracking and disturbance rejection in uncertain nonlinear systems. IEEE Trans. Aut. Control, Vol. 39, No.7, pp. 1510–1513.CrossRefGoogle Scholar
  6. 6.
    Isidori A., Byrnes C.I. (1990), Output regulation of nonlinear systems, IEEE Trans. Aut. Control, Vol 35, No.2, pp. 131–140.zbMATHCrossRefMathSciNetGoogle Scholar
  7. 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. 8.
    Loukianov, A.G. (1998), Nonlinear Block Control with Sliding Mode. Automation and Remote Control, v. 59, No.7, pp. 916–933.MathSciNetGoogle Scholar
  9. 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.MathSciNetGoogle Scholar
  10. 10.
    Utkin V.I. (1992), Sliding Modes in Control and Optimization Springer-Verlag, London.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Vadim Utkin
    • 1
  • B. Castillo-Toledo
    • 2
  • A. Loukianov
    • 2
  • O. Espinosa-Guerra
    • 2
  1. 1.Department of Electrical EngineeringOhio-State UniversityColumbusUSA
  2. 2.Centro de Investigación y de Estudios Avanzados del IPNGuadalajara, JalMéxico

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