• DocumentCode
    2767131
  • Title

    On verifying the certainty equivalence assumptions in nonlinear ℋ∞ control

  • Author

    Helton, J.W. ; James, Matthew R.

  • Author_Institution
    Dept. of Math., California Univ., San Diego, La Jolla, CA, USA
  • Volume
    4
  • fYear
    1998
  • fDate
    16-18 Dec 1998
  • Firstpage
    4069
  • Abstract
    This paper is concerned with the problem of breakdown of certainty equivalence in nonlinear H∞ control. Breakdown can occur in two ways: (i) the maximum of the function pt(z)+V(x) fails to exists, or (ii) the argmax is not unique. Here, pt is the information state or cost to come at time t, and V is the state feedback value function. If the closed-loop system under certainty equivalence control starts off with (i) and (ii) satisfied, it can happen that (i) or (ii) fails at some later time. This paper presents conditions involving the initial information state p0 which prevents (i) from failing
  • Keywords
    H∞ control; closed loop systems; nonlinear control systems; state feedback; certainty equivalence breakdown; closed-loop system; nonlinear ℋ∞ control; Australia; Control engineering; Control systems; Cost function; Electric breakdown; Nonlinear filters; Optimal control; Riccati equations; State estimation; State feedback;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.761935
  • Filename
    761935
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2767131