This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: EE 428 PROBLEM SET 5 DUE: 29 OCT 2007 Reading assignment: Please read chapter 4 sections 4.2 through 4.4. Problem 19: (15 points) For each of the following polynomials 1. s 2 + as + b = 0, where a > 0 and b > 0. What happens if either a or b is zero or negative? 2. s 3 + 4 s 2 + 6 s + 6 = 0 3. s 5 + s 4 + 5 s 3 + 5 s 2 + 4 s + 4 = 0 4. s 4 + s 3 + 3 s 2 + 2 s + K = 0 5. s 5 + s 4 + 2 s 3 + s 2 + s + K = 0 determine: the number of poles in the righthalf plane, the location of any complex conjugate roots on the axis, and if there is an adjustable parameter K appearing in the polynomial, determine the range of K for which the polynomial is Hurwitz. Problem 20: (20 points) Figure 1 shows the block diagram of an automated arc welding system. To insure consistent quality, the system regulates the puddle diameter by varying the level of arc current. The system uses a video system to measure puddle width, and cascade compensation to achieve desired steadystate accuracy and transient response characteristics. Figure 1: Automated arc welding system. 1. (6 points) What is the largest value of K for which the closedloop system remains BIBO stable? 2. (7 points) For half of the maximum value of K found in part 1, determine the roots of the characteristic equation and estimate the percent overshoot and risetime of the system when it is driven by a unitstep input. 3. (7 points) For half of the maximum value of K found in part 1, determine the position error constant and the corresponding steadystate error for a unitstep input. Problem 21: (15 points) Once again consider the closedloop system in Problem 20. Construct a SIMULINK block diagram of the closedloop system. Attach to your solutions a printout of the SIMULINK block diagram....
View
Full
Document
 Fall '07
 SCHIANO

Click to edit the document details