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Trolley displacement (m/s)

Trolley velocity (m/s)

1

0.8

0.6

0.4

0.2

0

–0.2

0

1.2

1

0.8

0.6

0.4

0.2

0

–0.2

–0.4

–0.6

0

22 Rule Set

11 Rule Set

Pole placement

0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

Time (s)

(c)

Pole

placement

22 Rule Set

11 Rule Set

0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

Time (s)

(d)


35

30

(N)

25

11 Rule Set

trolley

20

to

15

Pole

force

10

placement

22 Rule Set

Applied

5

0

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

–5

–10

Time (s)

(e)


60

40

20

Force 0

(N)

–20

–40

–60 0.5

0.1

0

0.05

0

4 (rad/s)

–0.05

θ (rad)

–0.5

–0.1

Performance

Index Table

Rule Generation

and Modification

Data

Rule

Base

Base

r(t)+

e(t)

Fuzzy

u(t)

c(t)

Fuzzification

Defuzzification

Plant

Inference

Measurement

System


e

ce

NB

NM

NS

Z

PS

PM

PB

NB

–50

–40

–30

–20

–10

0

10

NM

–42

–32

–22

–12

–2

8

18

NS

–36

–26

–16

–6

4

14

24

Z

–30

–20

–10

0

10

20

30

PS

–24

–14

–4

6

16

26

36

PM

–18

–8

2

12

22

32

42

PB

–10

0

10

20

30

40

50

$ #