• DocumentCode
    1491965
  • Title

    Feedback limitations in nonlinear systems: from Bode integrals to cheap control

  • Author

    Seron, M.M. ; Braslavsky, J.H. ; Kokotovic, P.V. ; Mayne, D.Q.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
  • Volume
    44
  • Issue
    4
  • fYear
    1999
  • fDate
    4/1/1999 12:00:00 AM
  • Firstpage
    829
  • Lastpage
    833
  • Abstract
    Feedback limitations of nonlinear systems are investigated using the cheap control approach. The main result is that in the limit, when the control effort is free, the smallest achievable L2 norm of the output is equal to the least amount of control energy (L2 norm) needed to stabilize the unstable zero dynamics. This nonlinear result is structurally similar to an earlier linear result by Qiu and Davison (1993), which, in turn, is connected with a Bode-type integral derived by Middleton (1991)
  • Keywords
    Bode diagrams; feedback; nonlinear control systems; stability; Bode integrals; Bode-type integral; L2 norm; cheap control approach; feedback limitations; nonlinear systems; unstable zero dynamics; Adaptive control; Control engineering; Control systems; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Optimal control; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.754828
  • Filename
    754828
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1491965