{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "RQBNA1ZRJW"
    }
  ],
  "body": "\n## Summary\n\nA bang–bang control only takes extreme values of the allowed range, such as full thrust forward or full thrust backward.\nIt switches abruptly between these values.\nSuch controls arise as optimal controls through [[Pontryagin's maximum principle|7RPV2T29CF]] when the dynamics and the cost are linear in the control.\nThey are typical for minimum-time problems, and they are easy to implement with simple on–off actuators.\n\n## Explanations\n\n### L1 human\n\nTo bring a car to a stop at a wall as fast as possible, you accelerate at full power and then brake at full power.\nYou never use half power: the control jumps from one extreme to the other.\nThat is a bang–bang control.\nA household thermostat that switches a heater fully on or fully off works in the same way.\n",
  "commit": "5fc425f97f1f6b11da5892c2948ef8c5d8805665",
  "front": {
    "kind": "concept",
    "msc": [
      "49J15",
      "93C15"
    ],
    "name": "Bang–bang control",
    "same_as": {
      "wikidata": "Q1432859",
      "wikipedia": "Bang–bang control"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Bang–bang_control"
      }
    ],
    "tag": "GK1Z3Q1WRZ"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/GK1Z3Q1WRZ/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/GK1Z3Q1WRZ.md",
  "msc": [
    "49J15",
    "93C15"
  ],
  "name": "Bang–bang control",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/GK1/GK1Z3Q1WRZ.md",
  "status": null,
  "tag": "GK1Z3Q1WRZ",
  "uri": "m2://GK1Z3Q1WRZ",
  "url": "https://math2.tamnd.com/wiki/bang-bang-control/",
  "writing": {
    "tag": "GK1Z3Q1WRZ",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      },
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}