hw_prj_6 - Dr. Atilla Dogan MAE 4310 Automatic Control Fall...

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

View Full Document Right Arrow Icon
Dr. Atilla Dogan MAE 4310 Automatic Control – Fall 2006 Homework–6 (Due date: Tuesday, Oct 31, 2006) Textbook Readings: Sections 6–1, 6–2, 6–3, 6–4, 6–5, 6–6 1. Determine the angle and magnitude of G ( s ) = 16( s + 1) s ( s + 2)( s + 4) at the following points in the s–plane: (a) s = i 2 , (b) s = - 2 + i 2 , (c) s = - 4 + i 2 , (d) s = - 6 , (e) s = - 3 . 2. Consider the following unity feedback control system: K G(s) For each transfer function, find the breakaway points on the root–locus: (i) G ( s ) = 1 s ( s + 6)( s + 8) (ii) G ( s ) = s + 5 ( s + 2)( s + 4) (iii) G ( s ) = s + 1 s 2 ( s + 9) 3. Find the departure angle of the root–locus from the pole at s = - 10 + i 10 for the system given in problem 2 with the transfer function G ( S ) = s + 8 ( s + 14)( s + 10 + i 10)( s + 10 - i 10) 4. Find the arrival angle of the root–locus to the zero at s = - 7 + i 5 for the system given in problem 2 with the transfer function G ( S ) = ( s + 7 + i 5)( s + 7 - i 5) ( s + 3)(
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/15/2009 for the course MAE 4310 taught by Professor Staff during the Fall '08 term at UT Arlington.

Page1 / 3

hw_prj_6 - Dr. Atilla Dogan MAE 4310 Automatic Control Fall...

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