{
  "id": "2009.04289",
  "version": "v1",
  "published": "2020-09-09T13:23:21.000Z",
  "updated": "2020-09-09T13:23:21.000Z",
  "title": "A scalable controller synthesis method for the robust control of networked systems",
  "authors": [
    "Pieter Appeltans",
    "Wim Michiels"
  ],
  "categories": [
    "math.OC",
    "cs.SY",
    "eess.SY"
  ],
  "abstract": "This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by identical linear time-invariant delay differential equations and the effect of transport and communication delay is explicitly taken into account. The presented method is based on the result that, under a particular assumption on the graph describing the interconnections between the subsystems, the H-infinity norm of the overall system is upper bounded by the robust H-infinity norm of a single subsystem with an additional uncertainty. This work will therefore briefly discuss a recently developed method to compute this last quantity. The resulting controller is then obtained by directly minimizing this upper bound in the controller parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-09T13:23:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93B36",
      "93B70",
      "93A14",
      "93C23",
      "93C73"
    ],
    "keywords": [
      "scalable controller synthesis method",
      "networked systems",
      "robust control",
      "linear time-invariant delay differential equations",
      "h-infinity norm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}