{
  "id": "2305.08760",
  "version": "v1",
  "published": "2023-05-15T16:19:59.000Z",
  "updated": "2023-05-15T16:19:59.000Z",
  "title": "Near-optimal control of nonlinear systems with hybrid inputs and dwell-time constraints",
  "authors": [
    "Ioana Lal",
    "Constantin Morarescu",
    "Jamal Daafouz",
    "Lucian Busoniu"
  ],
  "categories": [
    "math.OC",
    "cs.SY",
    "eess.SY"
  ],
  "abstract": "We propose two new optimistic planning algorithms for nonlinear hybrid-input systems, in which the input has both a continuous and a discrete component, and the discrete component must respect a dwell-time constraint. Both algorithms select sets of input sequences for refinement at each step, along with a continuous or discrete step to refine (split). The dwell-time constraint means that the discrete splits must keep the discrete mode constant if the required dwell-time is not yet reached. Convergence rate guarantees are provided for both algorithms, which show the dependency between the near-optimality of the sequence returned and the computational budget. The rates depend on a novel complexity measure of the dwell-time constrained problem. We present simulation results for two problems, an adaptive-quantization networked control system and a model for the COVID pandemic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-15T16:19:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear systems",
      "hybrid inputs",
      "near-optimal control",
      "discrete component",
      "discrete mode constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}