• DocumentCode
    850689
  • Title

    On properties of state variable stabilizing feedback of a special kind for linear time-invariant regulators

  • Author

    Chakrabarty, A. ; Ghoshal, T.K.

  • Author_Institution
    Jadavpur University, Calcutta, India
  • Volume
    31
  • Issue
    1
  • fYear
    1986
  • fDate
    1/1/1986 12:00:00 AM
  • Firstpage
    47
  • Lastpage
    50
  • Abstract
    Some interesting properties of a limiting case of linear optimal regulators with quadratic performance index and prescribed degree of stability are discussed. A series of LSVF control laws may be generated by varying a scalar parameter α which specifies the minimum modulus of the real part of the closed-loop poles. All such control laws guarantee a minimum amount of phase and gain margins but differ in speed of error recovery. Explicit algebraic relations for computing feedback laws and Nyquist plots are provided for single input n -order systems.
  • Keywords
    Linear-quadratic control; Stability, linear systems; State-feedback, linear systems; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Error correction; Mirrors; Nonlinear equations; Performance analysis; Regulators; State feedback; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104109
  • Filename
    1104109
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=850689