ps5 - EE 428 PROBLEM SET 5 DUE: 29 OCT 2007 Reading...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the 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 right-half 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 steady-state accuracy and transient response characteristics. Figure 1: Automated arc welding system. 1. (6 points) What is the largest value of K for which the closed-loop 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 rise-time of the system when it is driven by a unit-step input. 3. (7 points) For half of the maximum value of K found in part 1, determine the position error constant and the corresponding steady-state error for a unit-step input. Problem 21: (15 points) Once again consider the closed-loop system in Problem 20. Construct a SIMULINK block diagram of the closed-loop system. Attach to your solutions a printout of the SIMULINK block diagram....
View Full Document

Page1 / 4

ps5 - EE 428 PROBLEM SET 5 DUE: 29 OCT 2007 Reading...

This preview shows document pages 1 - 3. Sign up to view the full document.

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