"Controler" is not the correct spelling; the correct spelling is "controller."
A "controller" is a device or a person that manages or regulates something, such as a remote control for a television, a person who oversees a process or operation, or a device used to manipulate or direct the functions of another device or system. Here are a few examples to illustrate:

  1. Electronic device: A controller can refer to an electronic device or remote control used to operate other electronic equipment, such as a TV remote controller, game controller for video games, or a temperature controller for a thermostat.
  2. Financial role: In the context of finance and accounting, a controller is a person responsible for managing a company's financial activities, overseeing budgets, financial reports, and ensuring compliance with accounting standards and regulations.
  3. Computer science: In computer science and programming, a controller is a component or module that manages the flow of data or interactions within a software application or system. For example, a "game controller" in this context can refer to a piece of code that handles game logic.
  4. Legal and regulatory: In some legal or regulatory contexts, a controller may refer to an individual or entity that has authority or responsibility over certain actions or decisions.

Through the Google Books Ngram Viewer, we can see that controller has a much higher use than its misspelling controler in Google’s database of published books in both American and British English since the year 1800.

Google Ngram Viewer: controler vs. controller

The misspelling of "controller" as "controler" may occur because English has many words that end in "-er" to indicate a person who does something, such as "teacher," "singer," and "dancer." People might mistakenly apply this pattern to "control" because it appears consistent with other words they know.

Example sentences

  1. The video game controller stopped working, so I had to buy a new one.
  2. The air traffic controller guided the planes safely through the busy airspace.
  3. The financial controller is responsible for managing the company's budget and financial reports.
  4. She is a skilled DJ and can manipulate the music seamlessly with her controller.
  5. The traffic controller directed cars and pedestrians at the busy intersection.
  6. The temperature controller in the greenhouse ensures that the plants receive optimal conditions for growth.
  7. The project controller tracks the progress of various tasks and milestones to ensure the project stays on schedule.
  8. He works as a controller in the manufacturing plant, overseeing the automated production line.
  9. The game controller vibrated in response to in-game events, adding to the immersive experience.
  10. The flight controller coordinated the takeoff and landing of aircraft at the airport.

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Reference:

controller
1. a device used to operate or control a machine, a computer game, etc.: 2. a…
Cambridge Dictionary