/usr/share/octave/packages/control-3.0.0/pidstd.m is in octave-control 3.0.0-5.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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##
## This file is part of LTI Syncope.
##
## LTI Syncope is free software: you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation, either version 3 of the License, or
## (at your option) any later version.
##
## LTI Syncope is distributed in the hope that it will be useful,
## but WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn{Function File} {@var{C} =} pidstd (@var{Kp})
## @deftypefnx{Function File} {@var{C} =} pidstd (@var{Kp}, @var{Ti})
## @deftypefnx{Function File} {@var{C} =} pidstd (@var{Kp}, @var{Ti}, @var{Td})
## @deftypefnx{Function File} {@var{C} =} pidstd (@var{Kp}, @var{Ti}, @var{Td}, @var{N})
## Return the transfer function @var{C} of the @acronym{PID} controller
## in standard form with first-order roll-off.
##
## @example
## @group
## 1 Td s
## C(s) = Kp (1 + ---- + ----------)
## Ti s Td/N s + 1
## @end group
## @end example
## @end deftypefn
## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
## Created: September 2015
## Version: 0.1
## TODO: discrete-time case, dozens of options, ...
## NOTE: I don't see any need to implement 'pid' and 'pidstd'
## as LTI classes like the 'dark side' does.
## Returning a transfer function seems to be sufficient.
## These functions' sole purpose is to help novice users
## running their scripts with as little changes as possible.
function C = pidstd (Kp = 1, Ti = inf, Td = 0, N = inf)
if (! is_real_scalar (Kp, Ti, Td, N) || nargin > 4)
print_usage ();
endif
if (Kp == 0) # pidstd (0)
C = tf (0);
elseif (Ti == inf && N == inf) # pidstd (Kp, inf, Td)
C = tf (Kp*[Td, 1], [1]);
elseif (Ti == inf) # pidstd (Kp, inf, Td, N)
C = tf (Kp*[N*Td+Td, N], [Td, N]);
elseif (N == inf) # pidstd (Kp, Ti, Td), pidstd (Kp, Ti)
C = tf (Kp*[Td*Ti, Ti, 1], [Ti, 0]);
else # pidstd (Kp, Ti, Td, N)
C = tf (Kp*[N*Td*Ti+Td*Ti, N*Ti+Td, N], [Td*Ti, N*Ti, 0]);
endif
endfunction
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