Handbook of PI and PID Controller Tuning Rules, 2nd Edition

4.9: SOSPD Model with a Negative Zero

4.9 SOSPD Model with a Negative Zero or

4.9.1 Ideal controller

Table 146: PID controller tuning rules SOSPD model with a negative zero

Rule

K c

T i

T d

Comment

Direct synthesis

Wang et al. (2000b), (2001a).

Model: Method 2

[1]K c (577)

2 ? mT m1

T m1 2

M s=1.5

[1] ; ? and ? are determined by solving the equations:


4.9.2 Controller with filtered derivative

Table 147: PID controller tuning rules SOSPD model with a negative zero or

Rule

K c

T i

T d

Comment

Robust

Chien (1988).

Model: Method 1

[2]K c (578)

T i (578)

T d (578)

N=10;

? [T m1, ? m]

(Chien and Fruehauf (1990)),

2 ? m T m1 ?T m3

[3]T d (579)

[2]


[3]


4.9.3 Classical controller 1

Table 148: PID controller tuning rules SOSPD model with a negative zero

Rule

K c

T i

T d

Comment

Direct synthesis

Zhang (1994).

Model: Method 1

T m1

T m2

N=T m2/T m3

small ? m; good servo response.

Poulin et al. (1996).

Model: Method 1

T m1

T m2

N=T m2/T m3;

Minimum

=90 0; =60 0, ? m=T m1

Robust

Chien (1988).

Model: Method 1

T m2

T m1

T m1

T m2

T m1>T m2; N=10; ? [T m1, ? m] (Chien and Fruehauf (1990)).

4.9.4 Classical...

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