H-infinity loop-shaping

H-infinity loop-shaping is a method of controlling the behavior of something called a feedback system. A feedback system is a bunch of parts that work together to produce a result. Feedback systems are very common in machines, from simple ones like a doorbell to more complex ones like cars and robots.

In a feedback system, the output from one part goes back into the same system and affects how the system works. For example, if you press a doorbell, the sound of the bell ringing causes the button you pressed to move back up. Without the feedback, the button wouldn't do anything.

H-infinity loop-shaping is a way to control how the feedback system works by changing the amount of feedback that is given. It allows us to change how the system behaves and tune it to get better results. For example, if a robot is moving too quickly, we can use h-infinity loop-shaping to slow it down. Or if a car's engine is running roughly, we can use h-infinity loop-shaping to make it run smoothly.