root locus
DESCRIPTION
1 zero & 2 polesTRANSCRIPT
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LUGAR DE RAÍCESPresentado por: Fernanda GUERRERO DELGADO
![Page 2: Root Locus](https://reader033.vdocuments.net/reader033/viewer/2022051316/5695d0de1a28ab9b029432a9/html5/thumbnails/2.jpg)
Sistema
Polo :-1/3 & -1
Cero: -5
n-m= líneas que tienden al
![Page 3: Root Locus](https://reader033.vdocuments.net/reader033/viewer/2022051316/5695d0de1a28ab9b029432a9/html5/thumbnails/3.jpg)
2𝑘+0.4 𝑘𝑠3 𝑠2+(4+0.2𝑘 )𝑠+(1+𝑘)
𝑁 (𝑠)=2𝑘+0.4𝑘𝑠𝑁 ′ (𝑠 )=0.4𝑘
𝐷 ′ (𝑠 )=6 𝑠+ (4+0.2𝑘 )𝐷 (𝑠)=3𝑠2+(4+0.2𝑘)𝑠+(1+𝑘)
𝑁 (𝑠) 𝐷′ 𝑠=12ks+2.4 𝑘𝑠2+2𝑘 (0.2𝑘+4 )+ (0.2𝑘+4 )0.4𝑘𝑠+
𝑁 (𝑠) 𝐷′ ¿
S=-0.67
-9.32
R(s) C(s)
![Page 4: Root Locus](https://reader033.vdocuments.net/reader033/viewer/2022051316/5695d0de1a28ab9b029432a9/html5/thumbnails/4.jpg)
-0.67
-9.32
Valor dónde Kc
es estable
K Polo1 Polo2
0 0 0
1 -0,68 -9,32
2 -0,65 -19,34
3 -0,64 -29,35
4 -0,643 -39,356
5 -0,641 -49,358
15 -0,636 -150
50 -0,634 -500
100 -0,633 -999,366