ECE147B_2011_MOD5_sol

ECE147B_2011_MOD5_sol - ECE 147B Computer Module #5...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
ECE 147B Computer Module #5 Solutions 1. This problem considers varying the P controller gain to find a more acceptable discrete P controller than K1. For K<3, the controller has very little overshot but exhibits an excessively slow rise time, and for K>5 the controller is significantly faster but exhibits higher overshoot, upwards of 40%. As K varies from 3 to 5, the magnitude of the closed loop poles vary from 0.7 to 0.8, and the point at which the overshoot reaches the maximally acceptable value of 25% corresponds to K4 = 3.5. 2. The root locus for the P controller is shown on the next page. As the root locus, high values of K cause the system to be unstable due to the pole locations passing outside the unit circle, which is due to the added phase from the ZOH. A gain of 12 results in poles with magnitude 0.999 and corresponds to the branches on the root locus right on the edge of the unit circle. A simulation on the next page with K = 12 shows that this is indeed the edge of stability.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
3. This problem considers the design K3 presented in the module. The simplest example of a digital
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 7

ECE147B_2011_MOD5_sol - ECE 147B Computer Module #5...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online