There are two main types of control systems: open-loop and closed-loop. Open-loop systems operate independently of feedback from the output, while closed-loop systems use feedback to automatically adjust the input based on the output. Some key differences are that open-loop systems are simpler and cheaper but less accurate, while closed-loop systems are more complex and costly but provide greater accuracy through feedback correction of errors. Examples of each type are given such as electric hand dryers for open-loop and automatic irons for closed-loop.