3 ms·
A little bit broader than you asked for, but: A dynamic control system is modeled by a set of dynamic equations, usually expressed as partial derivatives. To a
by tremon 4y ago
A little bit broader than you asked for, but:
A dynamic control system is modeled by a set of dynamic equations, usually expressed as partial derivatives. To analyze the behaviour of such a system, the equation is solved or approximated in the complex time domain. The relevant part of the solution is where the real part of time is positive, i.e. the right-half plane.
A pole is a coordinate for which the dynamic equations have no solution (y = 1/z has a pole at z=0), which results in undefined or uncontrolled behaviour.
(also see https://en.wikipedia.org/wiki/Zeros_and_poles https://en.wikipedia.org/wiki/Zeros_and_poles)
- JackFr 4y agoHonestly, this comment better than the article.
- kaashif 4y agoI don't think a vague but more precise mathematical explanation of the terms zero and pole are even that difficult to understand, x has a zero, 1/x has a pole, people kind of know what that means if you look at a graph of a pole, I don't think a rigorous definition of pole is that far off - a pole of f is just a zero of 1/f. Instead we get waffle like: > Again roughly speaking, zeros describe mathematically how a system reacts to some input in the short term, while poles describe how a system reacts in the long term. I know it's "roughly" speaking, but isn't it too rough?