{
  "id": "2006.02688",
  "version": "v1",
  "published": "2020-06-04T08:10:31.000Z",
  "updated": "2020-06-04T08:10:31.000Z",
  "title": "State Estimation for a Class of Linear Systems with Quadratic Output",
  "authors": [
    "Dionysis Theodosis",
    "Soulaimane Berkane",
    "Dimos V. Dimarogonas"
  ],
  "comment": "8 pages, 2 figures, conference",
  "categories": [
    "math.OC",
    "cs.SY",
    "eess.SY"
  ],
  "abstract": "This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a finite number of states to the original system. Under suitable persistence of excitation conditions on the input and its higher derivatives, global state estimation is exhibited by means of a Kalman-type observer. A numerical example is provided to illustrate the applicability of the proposed observer design for the problem of position and velocity estimation for a vehicle navigating in the $n-$dimensional Euclidean space using a single position range measurement.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-04T08:10:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear systems",
      "single position range measurement",
      "global state estimation",
      "linear time-invariant systems",
      "dimensional euclidean space"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}