{
  "id": "2010.14018",
  "version": "v1",
  "published": "2020-10-27T02:54:36.000Z",
  "updated": "2020-10-27T02:54:36.000Z",
  "title": "On analytic interpolation with non-classical constraints for solving problems in robust control",
  "authors": [
    "Axel Ringh",
    "Johan Karlsson",
    "Anders Lindquist"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "math.OC",
    "cs.SY",
    "eess.SY"
  ],
  "abstract": "In this work we consider robust stabilization of uncertain dynamical systems and show that this can be achieved by solving a non-classically constrained analytic interpolation problem. In particular, this non-classical constraint confines the range of the interpolant, when evaluated on the imaginary axis, to a frequency-dependent set. By considering a sufficient condition for when this interpolation problem has a solution, we derive an approximate solution algorithm that can also be used for controller synthesis. Finally, the theory is illustrated on a numerical example with a plant with uncertain gain, phase, and output delay.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T02:54:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47N70",
      "93B52",
      "30E05"
    ],
    "keywords": [
      "robust control",
      "solving problems",
      "non-classically constrained analytic interpolation problem",
      "approximate solution algorithm",
      "non-classical constraint confines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}