Overview
Comment:New identification representation
Downloads: Tarball | ZIP archive | SQL archive
Timelines: family | ancestors | descendants | both | origin/master | trunk
Files: files | file ages | folders
SHA3-256: 0ed0fa2ee28c662bf84f4ef5b83b8e6267f999664944d0f02b19578a3f7e64cf
User & Date: gawthrop@users.sourceforge.net on 2002-06-21 20:02:34
Other Links: branch diff | manifest | tags
Context
2002-06-28
10:13:40
Includes fix_c.r in ese2rdae and def2write_r to eliminate occurrances of x**y. check-in: c7118cc5e3 user: geraint@users.sourceforge.net tags: origin/master, trunk
2002-06-21
20:02:34
New identification representation check-in: 0ed0fa2ee2 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
2002-06-18
18:04:12
Relaxed solver tolerances. Now uses lsqnonlin instead of fsolve. check-in: 966538b30c user: geraint@users.sourceforge.net tags: origin/master, trunk
Changes

Added mttroot/mtt/lib/rep/ident_rep.make version [042982e678].






































































































1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
# -*-makefile-*-
# Makefile for representation ident
# File ident_rep.make

#Copyright (C) 2000,2001,2002 by Peter J. Gawthrop

## Model targets
model_reps =  ${SYS}_sympar.m ${SYS}_simpar.m ${SYS}_state.m 
model_reps += ${SYS}_numpar.m ${SYS}_input.m ${SYS}_ode2odes.m  
model_reps += ${SYS}_def.m

## Prepend s to get the sensitivity targets
sensitivity_reps = ${model_reps:%=s%}

## Simulation targets
sims = ${SYS}_sim.m s${SYS}_ssim.m

## m-files needed for ident
ident_m = ${SYS}_ident.m ${SYS}_ident_numpar.m 

## Targets for the ident simulation
ident_reps = ${ident_m} ${sims} ${model_reps} ${sensitivity_reps}

## ps output files
psfiles = ${SYS}_ident.ps ${SYS}_ident.basis.ps ${SYS}_ident.par.ps ${SYS}_ident.U.ps
figfiles = ${psfiles:%.ps=%.fig}

all: ${SYS}_ident.${LANG}

echo:
	echo "sims: ${sims}"
	echo "model_reps: ${model_reps}"
	echo "sensitivity_reps: ${sensitivity_reps}"
	echo "ident_reps: ${ident_reps}"

${SYS}_ident.view: ${SYS}_ident.ps
	ident_rep.sh ${SYS} view

${psfiles}: ${SYS}_ident.fig
	ident_rep.sh ${SYS} ps

${SYS}_ident.gdat: ${SYS}_ident.dat2
	ident_rep.sh ${SYS} gdat

${SYS}_ident.fig ${SYS}_ident.dat2: ${ident_reps}
	ident_rep.sh ${SYS} dat2

${SYS}_ident.m: 
	ident_rep.sh ${SYS} m

${SYS}_ident_numpar.m:
	ident_rep.sh ${SYS} numpar.m

## System model reps
## Generic txt files 
${SYS}_%.txt:
	mtt ${OPTS} -q -stdin ${SYS} $* txt

## Specific m files
${SYS}_ode2odes.m: ${SYS}_rdae.r
	mtt -q -stdin ${OPTS} ${SYS} ode2odes m

${SYS}_sim.m: ${SYS}_ode2odes.m
	mtt ${OPTS} -q -stdin ${SYS} sim m

## Generic txt to m
${SYS}_%.m: ${SYS}_%.txt
	mtt ${OPTS} -q -stdin ${SYS} $* m

## r files
${SYS}_def.r: ${SYS}_abg.fig
	mtt ${OPTS} -q -stdin ${SYS} def r

${SYS}_rdae.r: 
	mtt ${OPTS} -q -stdin ${SYS} rdae r

## Sensitivity model reps
## Generic txt files 
s${SYS}_%.txt:
	mtt ${OPTS} -q -stdin -s s${SYS} $* txt

## Specific m files
s${SYS}_ode2odes.m: s${SYS}_rdae.r
	mtt -q -stdin ${OPTS} -s s${SYS} ode2odes m

s${SYS}_ssim.m:
	mtt -q -stdin ${OPTS} -s s${SYS} ssim m

s${SYS}_def.m:
	mtt -q -stdin ${OPTS} -s s${SYS} def m


## Generic txt to m
s${SYS}_%.m: s${SYS}_%.txt
	mtt ${OPTS} -q -stdin s${SYS} $* m

## r files
s${SYS}_rdae.r: 
	mtt ${OPTS} -q -stdin -s s${SYS} rdae r


Added mttroot/mtt/lib/rep/ident_rep.sh version [509586cb1e].












































































































































































































































































































































1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
#! /bin/sh

## ident_rep.sh
## DIY representation "ident" for mtt
# Copyright (C) 2002 by Peter J. Gawthrop

sys=$1
rep=ident
lang=$2
mtt_parameters=$3
rep_parameters=$4

## Some names
target=${sys}_${rep}.${lang}
def_file=${sys}_def.r
dat2_file=${sys}_ident.dat2
dat2s_file=${sys}_idents.dat2
ident_numpar_file=${sys}_ident_numpar.m
option_file=${sys}_ident_mtt_options.txt

## Get system information
if [ -f "${def_file}" ]; then
 echo Using ${def_file}
else
  mtt -q ${sys} def r
fi

ny=`mtt_getsize $1 y`
nu=`mtt_getsize $1 u`

check_new_options() {
    if [ -f "${option_file}" ]; then
	old_options=`cat ${option_file}`
        if [ "${mtt_options}" != "${old_options}" ]; then
	   echo ${mtt_options} > ${option_file}
	fi
    else
	echo ${mtt_options} > ${option_file}
    fi
}

## Make the _ident.m file
make_ident() {
filename=${sys}_${rep}.m
echo Creating ${filename}

cat > ${filename} <<EOF    
function [y,u,t] = ${sys}_ident (last, ppp_names, par_names, A_u, A_w, w, Q, extras)

  ## usage:  [y,u,t] = ${sys}_ident (last, ppp_names, par_names, A_u, A_w, w, Q, extras)
  ##
  ## last      last time in run
  ## ppp_names Column vector of names of ppp params
  ## par_names Column vector of names of estimated params
  ## extras    Structure containing additional info

  ##Sanity check
  if nargin<2
    printf("Usage: [y,u,t] = ${sys}_ident(N, ppp_names[, par_names, extras])\n");
    return
  endif

  if nargin<4
    ## Set up optional parameters
    extras.criterion = 1e-3;
    extras.emulate_timing = 0;
    extras.max_iterations = 15;
    extras.simulate = 1;
    extras.v =  1e-6;
    extras.verbose = 0;
    extras.visual = 1;
  endif
  
  ## System info
  [n_x,n_y,n_u,n_z,n_yz] = ${sys}_def;
  sympar  = ${sys}_sympar;
  simpar  = ${sys}_simpar;
  sympars  = s${sys}_sympar;
  simpars  = s${sys}_simpar;
  t_ol = simpar.last;
    
  ## Number of intervals needed
  N = ceil(last/t_ol);

  ## Setpoints
  if extras.verbose
    printf("Open-loop interval %3.2f \n", simpar.last);
    printf(" -- using info in ${sys}_simpar.txt\n");
    printf("PPP optimisation from %3.2f to %3.2f\n", simpars.first, simpars.last);
    printf(" -- using info in s${sys}_simpar.txt\n");
  endif
  
  t_horizon = [simpars.first+simpars.dt:simpars.dt:simpars.last]';
  w_s = ones(length(t_horizon)-1,1)*w';

  ## Setup the indices of the adjustable stuff
  if nargin<2
    i_ppp = []
  else
    i_ppp = ppp_indices (ppp_names,sympar,sympars); # Parameters
  endif

  n_ppp = length(i_ppp(:,1));

  if nargin<3
    i_par = []
  else
    i_par = ppp_indices (par_names,sympar,sympars); # Parameters
  endif
  
    ## Do some simulations to check things out
    ## System itself
    par = ${sys}_numpar;
    x_0_ol = ${sys}_state(par);
    [y_ol,x_ol, t_ol] =  ${sys}_sim(x_0_ol, par, simpar, ones(1,n_u));
    simpar_OL = simpar;
    simpar_OL.last = simpars.last;
    [y_OL,x_OL, t_OL] =  ${sys}_sim(x_0_ol, par, simpar_OL, ones(1,n_u));

    pars = s${sys}_numpar;
    x_0_ppp = s${sys}_state(pars);
    [y_ppp,y_par,x_ppp, t_ppp] =  s${sys}_ssim(x_0_ppp, pars, simpars, ones(1,n_u));

    simpar_PPP = simpars;
    simpar_PPP.first = simpar.first;
    [y_PPP,y_par,x_PPP, t_PPP] =  s${sys}_ssim(x_0_ppp, pars, simpar_PPP, ones(1,n_u));

    ## Basis functions
    Us = ppp_ustar(A_u,1,t_OL',0,0)';


  if extras.visual		#Show some graphs
    figure(2); 	
    grid; title("Outputs of ${sys}_sim and s${sys}_ssim");
    plot(t_ol,y_ol, '*', t_ppp, y_ppp, '+', t_OL, y_OL, t_PPP, y_PPP);


    figure(3); 	
    grid; title("Basis functions");
    plot(t_OL, Us);

  endif



  ## Do it
  [y,u,t,P,U,t_open,t_ppp,t_est,its_ppp,its_est] \
      = ppp_nlin_run ("${sys}",i_ppp,i_par,A_u,w_s,N,Q,extras);

  ## Compute values at ends of ol intervals
  T_open = cumsum(t_open);
  T_open = T_open(1:length(T_open)-1); # Last point not in t
  j=[];
  for i = 1:length(T_open)
    j = [j; find(T_open(i)*ones(size(t))==t)];
  endfor
  y_open = y(j,:);
  u_open = u(j,:);

  ## Plots

    gset nokey
    gset nogrid
    #eval(sprintf("gset xtics %g", simpar.last));
    #gset noytics
    gset format x "%.1f"
    gset format y "%.2f"
    gset term fig monochrome portrait fontsize 20 size 20 20 metric \
	     thickness 4
    gset output "${sys}_ident.fig"

    title("");
    xlabel("Time (s)");
    ylabel("u");
    subplot(2,1,2); plot(t,u,'-',  T_open, u_open,"+");
    #subplot(2,1,2); plot(t,u);   
    ylabel("y");
    subplot(2,1,1); plot(t,y,'-',  T_open, y_open,"+"); 
    #subplot(2,1,1); plot(t,y); 
    oneplot;
    gset term fig monochrome portrait fontsize 20 size 20 10 metric \
	     thickness 4
    gset output "${sys}_ident.basis.fig"
    title("");
    xlabel("Time (s)");
    ylabel("Basis functions");
    plot(t_OL, Us);


    ## Create plot against time
    TTT = [ [0;T_open] [T_open; last] ]';
    TT = TTT(:);

    [n,m] = size(P);
    if m>0
      P = P(1:n-1,:);  # Loose last point
      PP = [];
      for j=1:m
        pp = [P(:,j) P(:,j)]';
        PP = [PP pp(:)];
      endfor

      oneplot;
      gset output "${sys}_ident.par.fig"
      title("");
      xlabel("Time (s)");
      ylabel("Parameters");
      plot(TT,PP);
    endif

    [n,m] = size(U);
    if m>0    oneplot;
      gset output "${sys}_ident.U.fig"
      title("");
      xlabel("Time (s)");
      ylabel("U");
      [n,m] = size(U);
      U = U(1:n-1,:);  # Loose last point
      UU = [];
      for j=1:m
        uu = [U(:,j) U(:,j)]';
        UU = [UU uu(:)];
      endfor
      plot(TT,UU);
    endif

endfunction

EOF
}

make_ident_numpar() {
echo Creating ${ident_numpar_file}
cat > ${sys}_ident_numpar.m <<EOF
function [last, ppp_names, par_names, A_u, A_w, w, Q, extras] = ${sys}_ident_numpar 

## usage:  [last, ppp_names, par_names, A_u, A_w, w, Q, extras] = ${sys}_ident_numpar ()
##
## 

  ## Last time of run
  last = 10;

  ## Specify basis functions
  A_w = zeros(1,1);
  n_ppp = ${nu};
  A_u = ppp_aug(A_w,laguerre_matrix(n_ppp-1,2.0));

 
  ## Names of ppp parameters
  ppp_names = "";
  for i=1:n_ppp
    name = sprintf("ppp_%i", i);
    ppp_names = [ppp_names; name];
  endfor

  ## Estimated parameters
  par_names = [];

  ## Weights
  Q = ones(${ny},1);

  ## Setpoint
  w = zeros(${ny},1); w(1) = 1;

  ## Set up optional parameters
  extras.criterion = 1e-3;
  extras.emulate_timing = 0;
  extras.max_iterations = 15;
  extras.simulate = 1;
  extras.v =  1e-6;
  extras.verbose = 0;
  extras.visual = 0;

endfunction
EOF
}

make_dat2() {

## Inform user
echo Creating ${dat2_file}

## Use octave to generate the data
octave -q <<EOF
  [last, ppp_names, par_names, A_u, A_w, w, Q, extras] = ${sys}_ident_numpar;
  [y,u,t] = ${sys}_ident(last, ppp_names, par_names, A_u, A_w, w, Q, extras);
  data = [t,y,u];
  save -ascii ${dat2_file} data
EOF
}

case ${lang} in
    numpar.m)
        ## Make the numpar stuff
        make_ident_numpar;
	;;
    m)
        ## Make the code
        make_ident;
	;;
    dat2|fig|basis.fig|par.fig|U.fig)
        ## The dat2 language (output data) & fig file
        rm ${sys}_ident*.fig
	make_dat2; 
	;;
    gdat)
        cp ${dat2_file} ${dat2s_file} 
	dat22dat ${sys} ${rep} 
        dat2gdat ${sys} ${rep}
	;;
    ps|basis.ps|par.ps|U.ps)
        figs=`ls ${sys}_ident*.fig | sed -e 's/\.fig//'`
        echo $figs
	for fig in ${figs}; do
            fig2dev -Leps ${fig}.fig > ${fig}.ps
	done
	;;
    view)
	pss=`ls ${sys}_ident*.ps` 
        echo Viewing ${pss}
        for ps in ${pss}; do
          gv ${ps}&
	done
	;;
    *)
	echo Language ${lang} not supported by ${rep} representation
        exit 3
esac



MTT: Model Transformation Tools
GitHub | SourceHut | Sourceforge | Fossil RSS ]