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Text File | 1999-03-05 | 5KB | 150 lines

# Copyright (C) 1996,1998 A. Scottedward Hodel
#
# This file is part of Octave.
#
# Octave 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 2, or (at your option) any
# later version.
#
# Octave 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 Octave; see the file COPYING.  If not, write to the Free
# Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.

function sys = sysprune(sys,output_idx,input_idx,state_idx)
# function retsys = sysprune(Asys,output_idx,input_idx{,state_idx})
# Extract/permute specified inputs, outputs, and/or states of a system.
#
# inputs:
#   Asys: system data structure
#   output_idx,input_idx: list of connections indices; the new
#       system has outputs y(output_idx(ii)) and inputs u(input_idx(ii)).
#       May select as [] (empty matrix) to specify all outputs/inputs.
#   state_idx: optional argument; list of indices of states to keep
#       in the reduced model.  May omit this argument or pass [] (empty
#       matrix) to keep all states in the returned model
#
# output: retsys: resulting system:
#                      ____________________
#                      |                  |
#     u1         ----->|                  |----> y1
#    (input_idx)       |       Asys       | (output_idx)
#                      |                  |
#   u2 (deleted) |---->|                  |----| y2  (deleted)
#                      |                  |
#                      --------------------

# A. S. Hodel August 1995
# Updated by John Ingram 7-15-96

  if( nargin < 3 | nargin > 4  )
    usage("retsys = sysprune(sys,output_idx,input_idx{,state_idx})");
  elseif(nargin < 4)
    state_idx = [];
  endif

  # default: no action
  [nn,nz,mm,pp] = sysdimensions(sys);
  if(isempty(output_idx)) output_idx = 1:pp; endif
  if(isempty(input_idx)) input_idx = 1:mm; endif
  if(isempty(state_idx)) state_idx = 1:(nn+nz); endif

  # check dimensions
  if( !(is_vector(output_idx) | isempty(output_idx) )  )
    if(!is_matrix(output_idx))
      error("sysprune: bad argument passed for output_idx");
    else
      error("sysprune: output_idx (%d x %d) must be a vector or empty", ...
        rows(output_idx),columns(output_idx));
    endif
  elseif(is_duplicate_entry(output_idx))
     error("sysprune: duplicate entries found in output_idx");
  endif

  if( !(is_vector(input_idx) | isempty(input_idx) )  )
    if(!is_matrix(input_idx))
      error("sysprune: bad argument passed for input_idx");
    else
      error("sysprune: input_idx (%d x %d) must be a vector or empty", ...
        rows(input_idx),columns(input_idx));
    endif
  elseif(is_duplicate_entry(input_idx))
     error("sysprune: duplicate entries found in input_idx");
  endif

  if( !(is_vector(state_idx) | isempty(state_idx) )  )
    if(!is_matrix(state_idx))
      error("sysprune: bad argument passed for state_idx");
    else
      error("sysprune: state_idx (%d x %d) must be a vector or empty", ...
        rows(state_idx),columns(state_idx));
    endif
  elseif(nn+nz > 0)
    if(is_duplicate_entry(state_idx))
      error("sysprune: duplicate entries found in state_idx");
    endif
  endif

  lo = length(output_idx);
  li = length(input_idx);
  lst = length(state_idx);

  if( !is_struct(sys))
    error("Asys must be a system data structure (see ss2sys, tf2sys, or zp2sys)")
  elseif(pp < lo)
    error([num2str(lo)," output_idx entries, system has only ", ...
    num2str(pp)," outputs"]);
  elseif(mm < li)
    error([num2str(li)," input_idx entries, system has only ", ...
    num2str(mm)," inputs"]);
  elseif(nn+nz < lst)
    error([num2str(lst)," state_idx entries, system has only ", ...
    num2str(nn+nz)," states"]);
  endif

  [aa,bb,cc,dd,tsam,nn,nz,stnam,innam,outnam,yd] = sys2ss(sys);

  # check for legal state permutation
  if(nn & nz)
    c_idx = find(state_idx <= nn);
    if(!isempty(c_idx)) max_c = max(c_idx);
    else            max_c = 0;            endif
    d_idx = find(state_idx > nn);
    if(!isempty(d_idx)) min_d = min(d_idx);
    else            min_d = nn+nz;            endif
    if(max_c > min_d)
      warning("sysprune: state_idx(%d)=%d (discrete) preceeds", ...
    min_d,state_idx(min_d));
      warning("          state_idx(%d)=%d (continuous)",...
    max_c,state_idx(max_c));
      warning("sysprune: sys has %d continuous states, %d discrete states", ...
    nn,nz);
      error("continuous/discrete state partition not preserved ; see ss2sys");
    endif
  endif

  idx = input_idx;
  odx = output_idx;
  if(isempty(state_idx))
    idx = [];
    odx = [];
  endif
  aa = aa(state_idx,state_idx);
  bb = bb(state_idx,idx);
  cc = cc(odx,state_idx);
  dd = dd(output_idx,input_idx);
  yd = yd(output_idx);

  innam  = innam(input_idx);
  outnam = outnam(output_idx);
  stnam = stnam(state_idx);
  nn1 = length(find(state_idx <= nn));
  nz1 = length(find(state_idx > nn));
  sys = ss2sys(aa,bb,cc,dd,tsam,nn1,nz1,stnam,innam,outnam,find(yd));
endfunction