MEM355W04-05_HW4_1_sol

MEM355W04-05_HW4_1_sol - Phalon 413 (a) The transfer...

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

View Full Document Right Arrow Icon
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: Phalon 413 (a) The transfer functions for cases (1)-(4) are, 1) Y(s) _ s + 2 _ s —|— 2 R(3) 32+23+2 (8+1ij1) 2) Y(s) _ s + 2 _ (s + 2) 12(3) 83 + 552 + 55 + 2 (5 + .58 :t 3'42) (5 + 3.8) 3) Y(s) _ 55 + 10 R(s) _ s3 + 1152 + 153 + 10 4) Y(8) _ (8 + 2)(s + ,1) R(5) _ (s +.11::j,1)(s + 9.9)(5 + .87) See attached transient responses. ommmmmummum Cmbforlminurcnmwflus l l f 1 2 l A system 4 /system 2 : syslem 3 ,/,."V m1 Ampfilurle l l V l I l w < x < l l l l l l 5 l i Time {515) nu ma) Problem 4.13(a) System 1 has the smallest overshoot *8 i i l a . i . I i i I i WV. (b) Each system is type 1 with systems 1—3 having K1, 2 l and system 4 having K1, : 10. System 4 has the smallest steady—state error to a ramp. (0) For 1) U(s) __ 3(5 +1)(8 + 2) Rfs) _ 252 +3s+2 For 2) U(s) _ 233 + 652 + 45 R(s) _ S3+552+68+4 For 3) (1(3) _ 5553 +1582 +103 R(s) _ s3 + 1152 + 153 + 10 For 4) U(s) _ 554 + 15.553 + 11.552 + s R(s) _ s4 + 11.0153 4— 15.1132 + 10.63 +1 See attached plots. Controller 2 has peak control 2 and controllers 3 and 4 have peak control 5. (rh 'T‘lqo flnmnnnca+nv {n 9\ in rnnnmmanrlml ...
View Full Document

Page1 / 2

MEM355W04-05_HW4_1_sol - Phalon 413 (a) The transfer...

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