Path: Common/Control
% Design a leaky PI controller.
Design a PI controller of the form
y = cx + du
x = ax + bu
The transfer function is
K ( 1 + 1 )
--------
tau(s+a)
The inputs are gain at zero, gain at infinity and 0 dB crossover frequency.
If the gain at zero frequency is not infinity you get a "leaky" integrator.
Leaky integrators can give you sufficient gain a DC for your application
with giving you the stability problems of regular integrators.
With one output, the routine will give you the conventional statespace
form [a, b, c, d]. With one output you will get an object of the statespace
class.
If the gain at infinity is greater than 1, w0Db is the corner frequency.
Type PILeaky for a demo.
--------------------------------------------------------------------------
Form:
[g, b, c, d] = PILeaky( k0, kInf, w0Db, tSamp, sType )
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------
Inputs
------
k0 Gain at zero (may be inf) (dB)
k Gain at infinity (forward gain) (dB)
w0Db 0 db crossover (rad/sec)
tSamp Sampling period (sec)
sType State equation type ('Delta' or 'Z')
-------
Outputs
-------
g Statespace data structure or
[g, b, c, d] Statespace
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Common: Classes/@statespace/and.m Common: Classes/@statespace/close.m Common: Classes/@statespace/connect.m Common: Classes/@statespace/eig.m Common: Classes/@statespace/get.m Common: Classes/@statespace/getabcd.m Common: Classes/@statespace/getsub.m Common: Classes/@statespace/isempty.m Common: Classes/@statespace/mtimes.m Common: Classes/@statespace/plus.m Common: Classes/@statespace/series.m Common: Classes/@statespace/set.m Common: Classes/@statespace/statespace.m Common: Control/C2DZOH Common: Control/C2DelZOH Common: Control/FResp Common0: Classes/@statespace/and.m Common0: Classes/@statespace/close.m Common0: Classes/@statespace/connect.m Common0: Classes/@statespace/eig.m Common0: Classes/@statespace/get.m Common0: Classes/@statespace/getabcd.m Common0: Classes/@statespace/getsub.m Common0: Classes/@statespace/isempty.m Common0: Classes/@statespace/mtimes.m Common0: Classes/@statespace/plus.m Common0: Classes/@statespace/series.m Common0: Classes/@statespace/set.m Common0: Classes/@statespace/statespace.m Common1: Classes/@statespace/and.m Common1: Classes/@statespace/close.m Common1: Classes/@statespace/connect.m Common1: Classes/@statespace/eig.m Common1: Classes/@statespace/get.m Common1: Classes/@statespace/getabcd.m Common1: Classes/@statespace/getsub.m Common1: Classes/@statespace/isempty.m Common1: Classes/@statespace/mtimes.m Common1: Classes/@statespace/plus.m Common1: Classes/@statespace/series.m Common1: Classes/@statespace/set.m Common1: Classes/@statespace/statespace.m Common2: Classes/@statespace/and.m Common2: Classes/@statespace/close.m Common2: Classes/@statespace/connect.m Common2: Classes/@statespace/eig.m Common2: Classes/@statespace/get.m Common2: Classes/@statespace/getabcd.m Common2: Classes/@statespace/getsub.m Common2: Classes/@statespace/isempty.m Common2: Classes/@statespace/mtimes.m Common2: Classes/@statespace/plus.m Common2: Classes/@statespace/series.m Common2: Classes/@statespace/set.m Common2: Classes/@statespace/statespace.m
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