Part A | 10.4
262 Part A Fundamentals
Table 10.4
Examples of transfer functions with their root locus
G.s/
Root Locus
G.s/
Root Locus
1
s
–1 –0.8 –0.6 –0.4 –0.2 0 0.2 0.4 0.6 0.8 1
Imag axis
Real axis
1
0.8
0.6
0.4
0.2
0
–0.2
–0.4
–0.6
–0.8
–1
1
s
.s C
0:1/
.s C
0:5/
–1 –0.8 –0.6 –0.4 –0.2 0
0.8
0.6
0.4
0.2
1
Imag axis
Real axis
2
1.5
1
0.5
0
–0.5
–1
–1.5
–2
.s C
1/
s
–2
–1.5
–1
–0.5
0
0.5
1
Imag axis
Real axis
1
0.8
0.6
0.4
0.2
0
–0.2
–0.4
–0.6
–0.8
–1
1
.s C
0:7/
.s 2
C
s C
1:69/
–1
–0.8 –0.6 –0.4 –0.2
0
0.2
0.4
Imag axis
Real axis
2.5
2
1.5
1
0.5
0
–0.5
–1
–1.5
–2
–2.5
1
.s 2
C
s C
1:69/
–1 –0.8 –0.6 –0.4 –0.2 0
0.8
0.6
0.4
0.2
1
Imag axis
Real axis
3
2
1
0
–1
–2
–3
.s C
1/
.s 2
C
0:8s C
4:16/
–4 –3.5 –3 –2.5 –2 –1.5 –1 –0.5 0 0.5 1
Imag axis
Real axis
2.5
2
1.5
1
0.5
0
–0.5
–1
–1.5
–2
–2.5