HW_5 - stable, where . ) 3 )( 2 )( 1 ( 1 ) ( , 100 ) ( s s...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 ECE 313 (Spring 2009) Homework #5 (Due: February 23, 2009, Monday, in class) Reading Assignment Reminder: Sections 4.7 – 4.8, and 6.1 – 6.4 Recommended Optional Reading: Appendix B, Appendix C (Matlab & Simulink) Problems: NOTE: For all Matlab problems, please print out both your codes and figures, and write appropriate comments on what you observe from the figures. For Simulink, print your Simulink diagrams. 1) (10 pts) For each of the following system, 1) determine whether it can be approximated by a second-order system and explain why, and 2) validate your answers with Matlab simulation of the step responses, where you compare the original systems with the approximating second-order system. (a) ) 11 )( 8 2 ( 11 ) ( 2 s s s s G (b) ) 3 )( 8 2 ( 3 ) ( 2 s s s s G (c) ) 3 )( 8 2 ( 9 . 2 ) ( 2 s s s s s G 2) (10 pts) Use the Routh-Hurwitz criterion to determine whether the following system is
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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: stable, where . ) 3 )( 2 )( 1 ( 1 ) ( , 100 ) ( s s s s s G s C 3) (10 pts) Use the Routh table to determine, for the system 2 3 5 100 ) ( 2 3 4 2 s s s s s s s G , how many poles are in the open right-half-plane, open left-half-plane, and the imaginary axis, respectively. _ + ( ) G s ( ) C s R Y 2 4) (10 pts) For the system shown in the following figure, (a) Find the range of K for which the closed-loop system is stable; (b) Find the value of K for which the closed-loop system will oscillate under a step input, and find the corresponding frequency of oscillation; (c) Perform Matlab or Simulink simulation to verify your answers in part (b)....
View Full Document

This note was uploaded on 09/09/2009 for the course ECE 313 taught by Professor Gokcek,c during the Spring '08 term at Michigan State University.

Page1 / 2

HW_5 - stable, where . ) 3 )( 2 )( 1 ( 1 ) ( , 100 ) ( s s...

This preview shows document pages 1 - 2. Sign up to view the full document.

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