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

4.8: SOSPD Model with a Positive Zero

4.8 SOSPD Model with a Positive Zero or

4.8.1 Ideal controller

Table 138: PID controller tuning rules SOSPD model with a positive zero or

Rule

K c

T i

T d

Comment

Minimum performance index: servo tuning

Minimum IAE Wang et al. (1995a).

Model: Method 1

[1]

Minimum ISE Wang et al. (1995a).

Model: Method 1

[2]

Minimum ITAE Wang et al. (1995a).

Model: Method 1

[3]

Direct synthesis

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

Model: Method 2

[4] K c (568)

2 ? mT m1

T m1 2

M s=1.5

[1]


[2]p 0, p 1, p 2, q 1, q 2, r defined as on page 383


[3]p 0, p 1, p 2, q 1, q 2, r defined as on page 383


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


4.8.2 Ideal controller in series with a first order lag

Table 139: PID controller tuning rules SOSPD model with a positive zero

Rule

K c

T i

T d

Comment

Direct synthesis: time domain criteria

Li et al. (2004).

Model: Method 1

[5] K c (569)

T m1+T m2

[5]


4.8.3 Controller with filtered derivative

Table 140: PID controller tuning rules SOSPD model with a positive zero or

Rule

K c

T i

T d

Comment

Robust

Chien (1988).

Model: Method 1

[6] K c (570)

T

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