National Instruments 371685C-01 用户手册

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Chapter 2
PID Algorithms
2-6
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Figure 2-2 illustrates the autotuning procedure excited by the setpoint relay experiment, 
which connects a relay and an extra feedback signal with the SP. Notice that the PID Library 
autotuning functions directly implement this process. The existing controller remains in 
the loop. 
Figure 2-2.  Process under PID Control with Setpoint Relay
For most systems, the nonlinear relay characteristic generates a limiting cycle from which the 
autotuning algorithm identifies the relevant information needed for PID tuning. If the existing 
controller is proportional only, the autotuning algorithm identifies the ultimate gain K
u
 and 
ultimate period T
u
. If the existing model is PI or PID, the autotuning algorithm identifies the 
dead time   and time constant T
p
, which are two parameters in the integral-plus-deadtime 
model, as follows:
Tuning Formulas
This package uses Ziegler and Nichols’ heuristic methods for determining the parameters of 
a PID controller. When you autotune, select one of the following types of loop performance: 
fast (1/4 damping ratio), normal (some overshoot), or slow (little overshoot). Refer to the 
following tuning formula tables for each type of loop performance.
Table 2-1.  Tuning Formula under P-Only Control (Fast)
Controller
K
c
T
i
T
d
P
0.5K
u
PI
0.4K
u
0.8T
u
PID
0.6K
u
0.5T
u
0.12T
u
SP
e
+
P(I) Controller
Process
PV
Relay
+
τ
G
P
s
( ) = 
e
τs
T
p
s
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