View source for Is a high gain good in the speed control example?

First, one needs to be cautious about defining what "good" means when designing control laws. There are trade-offs between various performance measures, including steady-state error, disturbance rejection, robustness, and other things we did not mention in today's lecture like response time. Therefore, it is impossible to optimize all of them.

In this example, a high gain is good at reducing the steady-state error (<math>v_\mathrm{des}-v</math>) and rejecting external disturbances coming from <math>F_\mathrm{hill}</math>. However, it will not be desirable if one does not want the magnitude of <math>F_\mathrm{eng}</math> to be large.

--Shuo

[[Category: CDS 101/110 FAQ - Lecture 1-1]]
[[Category: CDS 101/110 FAQ - Lecture 1-1, Fall 2008]]