{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

problems 3.44 and 3.45

# problems 3.44 and 3.45 - 44 Ikfodify th It.ou*h ffitedofi...

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

44. Ikfodify th* It.ou*h ffitedofi ss thst it aXrplies to tfre casp wh+re sll the peles cre to be ts the ldt of, -a rrvben rt ) il- Apply the msdi\$ed tmt to tlre polpramiel st + (6+ Kls? + {5 + 6'tr}s * 5ff : 0,, ffndiag those v*Iues. of -If 5or whish 431 pcler hsrre e real pnrt lem thau -1. \$olutian: Let p - s*s ffld.subE6iuie s:F-a to obtainatrroll'namiel i-e.ter,ms\$f p- Apply the etandsrd Raeth twt tc the pol;r"nomi*l in p- Foy the otarople p : ,s*I. sr \$ : p- 1- Subotitute this in the polynorxial, {F - 1}" + {s+ 1{}(p -t)r + {5 + str} (p- i} * 6.K : B sl- Fa + {s+ K)st + {4Fr - a}p * I : 0. ifhe Routh'e array is, pe : 1 LK-A, F,3 : 3+Jtr X . l { 3 + f i } ( 4 f f - 4 ) - 1 P' ff v v t : 1 IVe, mcust hsrue ff F -S eni 4Jf,E +8Jf - 13 >. 0- The voots qf the second* orcter poly,rourial *re J{ : 1-06 anctr "ff : -\$.SS'tr.- The secofft-o}cter poltr'n,orniel rensalns pasitive if K > 1".S6 or i{ .{ -\$.\$S1- Therefore, we ruust hanre Jd > 1.06- 45- Suppoee the clinrscteristis polynurnial trf a given closed-loop aystern ir *anrrputed ta be

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

View Full Document
s4+{11+Ka}fa(t?1"+Kr}e?+{ffr+Kr K?+ll\$ffr*ttil}s*lltrr+3"0\$
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

problems 3.44 and 3.45 - 44 Ikfodify th It.ou*h ffitedofi...

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

View Full Document
Ask a homework question - tutors are online