How does settling time relate to the root locus plot?
Submitted by: asa Submitted on: November 29, 2004 Identifier: H8 If you look back at slide 7 from lecture 8.2, you’ll see that you can learn about the settling time from the dominant poles. You should be able to see those poles on a root locus, and see how they move, which changes the settling time. [Back to Top] • What’s the difference between calculating the tracking error with mag(L) vs. the sensitivity function? Submitted by: asa Submitted on: November 29, 2004 Identifier: H7 , H8 For exact calculations of the frequency at which the error is less than a certain bound, you should use H_{er}, the sensitivity function. This gives you a measure of the error directly related to the input. The magnitude of L can be used as a quick approximation — generally, 1/(1+mag(L)) will be close to mag(1/(1+L)). However, for precise work (i.e. not approximations), you should use H_{er}. [Back to Top] • What do you mean by “If the integral is surjective (as a linear operator), then we can find an in
