Stabilization of Multivariable Nonlinear Systems: Part II

  • Alberto IsidoriEmail author
Part of the Advanced Textbooks in Control and Signal Processing book series (C&SP)


This chapter addresses the problem of asymptotically stabilizing invertible multivariable systems, in the more general case in which the system does not have a vector relative degree. The case of input–output linearizable systems is addressed in the first part of the chapter, where it is shown how the robust stabilization method presented in Chap.  10 can be extended. Then, in the second part of the paper, a more general class of invertible systems is considered.


Nonlinear Multivariable Systems Vector Relative Degree Input Output Linearizable Asymptotic Output Stability High-gain Observer 
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  1. 1.
    D. Liberzon, Output-input stability implies feedback stabilization. Syst. Control Lett. 53, 237–248 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    L. Wang, A. Isidori, H. Su, Global Stabilization of a Class of Invertible MIMO Nonlinear Systems. IEEE Trans. Automat. Control 60, 616–631 (2015)MathSciNetCrossRefGoogle Scholar
  3. 3.
    L. Wang, A. Isidori, L. Marconi, H. Su, Stabilization by output feedback of multivariable invertible nonlinear systems (submitted)Google Scholar
  4. 4.
    A.R. Teel, L. Praly, Tools for semi-global stabilization by partial state and output feedback. SIAM J. Control Optimiz. 33, 1443–1488 (1995)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    D. Liberzon, A.S. Morse, E.D. Sontag, Output-input stability and minimum-phase nonlinear systems. IEEE Trans. Autom. Control 47, 422–436 (2002)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria Informatica, Automatica e GestionaleUniversità degli Studi di Roma “La Sapienza”RomeItaly

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