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Control of Nonlinear Systems Via Dynamic State-Feedback

  • A. Isidori
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 29)

Abstract

A dynamicstate-feedback control mode is the one in which the value of the input u at time t is a function of the value. at this time. of the state x. of a new input v. and of a new set of state variables ξ. In particular. one is interested in control laws described by equations of the form

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References

  1. [1]
    A. Isidori, A.J. Krener, C. Gori Giorgi, S. Monaco, Nonlinear decoupling via feedback: a differential geometric approach, IEEE Trans. on Automatic Control, AC-26 (1981), pp. 331–345.CrossRefGoogle Scholar
  2. [2]
    A. Isidori, Nonlinear control systems: an introduction, Lecture Notes in Control and Information Sciences, Vol. 72, Springer-Verlag, Berlin (1985), pp. 1–297.zbMATHCrossRefGoogle Scholar
  3. [3]
    C. Commault, J.M. Dion, Structure at infinity of linear multivariable systems: a geometric approach, Decision and Control Conference (San Diego, 1981).Google Scholar
  4. [4]
    A. Isidori, Nonlinear feedback, structure at infinity and the input-output linearization problem, MTNS Conference (Beersheva, 1983), pp. 473–493.Google Scholar
  5. [5]
    A. Isidori, Formal infinite zeros for nonlinear systems, Decision and Control Conference (San Antonio, 1983), pp. 647–652.Google Scholar
  6. [6]
    H. Nijmeijer, J. Schumacher, Zeros at infinity for affine nonlinear control systems, IEEE Trans. an Automatic Control, AC-30 (1985), to appear.Google Scholar
  7. [7]
    M.D. Di Benedetto, A. Isidori, The matching of nonlinear models via dynamic state-feedback, Decision and Control Conference (Las Vegas, 1984), pp. 416–420, to appear on SIAM Journal on Control and Optimization.Google Scholar
  8. [8]
    A.J. Krener, (Adf,g), (adf,g) and Locally (adf,g) invariant and controllability distributions, SIAM Journal on Control and Optimization, Vol. 23, (1985), pp. 523–549.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [9]
    J. Descusse, C.H. Moog, Decoupling with dynamic compensation for strong invertible affine nonlinear systems, Int. J. Control, to appear.Google Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • A. Isidori
    • 1
  1. 1.Dipartimento di Informatica e SistemisticaUniversità di Roma “La Sapienza”RomeItaly

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