The world’s Largest Sharp Brain Virtual Experts Marketplace Just a click Away
Levels Tought:
Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 398 Weeks Ago, 4 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
An elementary magnetic suspension scheme is depicted in Fig. 5.61. For small motions near the reference position, the voltage e on the photo detector is related to the ball displacement x (in meters) by e = 100x. The upward force (in newtons) on the ball caused by the current i (in amperes) may be approximated by f = 0.5i + 20x. The mass of the ball is 20 g and the gravitational force is 9.8 N/kg. The power amplifier is a voltage-tocurrent device with an output (in amperes) of i = u + V0.
(a) Write the equations of motion for this set-up.
(b) Give the value of the bias V0 that results in the ball being in equilibrium at x = 0.
(c) What is the transfer function from u to e?
(d) Suppose that the control input u is given by u = –Ke. Sketch the root locus of the closed-loop system as a function of K.

(e) Assume that a lead compensation is available in the formÂ
. Give values of K, Z, and p that yield improved performance over the one proposed in part (d).

Hel-----------lo -----------Sir-----------/Ma-----------dam----------- Â----------- Th-----------ank----------- Yo-----------u f-----------or -----------usi-----------ng -----------our----------- we-----------bsi-----------te -----------and----------- ac-----------qui-----------sit-----------ion----------- of----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n. -----------Ple-----------ase----------- pi-----------ng -----------me -----------on -----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill-----------