comparison m-toolbox/html_help/help/ug/ssm_modify.html @ 0:f0afece42f48

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author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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26 <td valign="baseline"><b>LTPDA Toolbox</b></td><td><a href="../helptoc.html">contents</a></td>
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28 <td valign="baseline" align="right"><a href=
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30 "bottom" alt="Building from built-in models"></a>&nbsp;&nbsp;&nbsp;<a href=
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35
36 <h1 class="title"><a name="f3-12899" id="f3-12899"></a>Modifying systems</h1>
37 <hr>
38
39 <p>
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51 <P>Built-in models enable to build fast predefined models to use
52 later in simulations.
53 </P>
54 <H2>Modifying using the setter functions</H2>
55 <P><FONT COLOR="#000000">It is possible to set the content of the
56 fields &ldquo;input&rdquo;, &ldquo;output&rdquo;, &ldquo;states&rdquo;,
57 as well as the field &ldquo;params&rdquo;.</FONT></P>
58 <P><FONT COLOR="#000000">Here is a simple model</FONT></P>
59 <DIV CLASS="fragment"><PRE><FONT COLOR="#000000">&gt;&gt; name = </FONT><FONT COLOR="#a020f0">'sys'</FONT><FONT COLOR="#000000">;</FONT>
60 &gt;&gt; timestep = 0;
61 &gt;&gt; amats = cell(3,3);
62 &gt;&gt; bmats = cell(3,3);
63 &gt;&gt; cmats = cell(3,3);
64 &gt;&gt; dmats = cell(3,3);
65 <FONT COLOR="#000000">&gt;&gt; amats{1,1} = -(sym(</FONT><FONT COLOR="#a020f0">'OMEGA'</FONT><FONT COLOR="#000000">));</FONT>
66 &gt;&gt; amats{2,2} = -2;
67 &gt;&gt; amats{3,3} = [0 1 ; -0.05 -0.01];
68 &gt;&gt; amats{3,1} = [-1;-3];
69 &gt;&gt; bmats{1,1} = 1;
70 &gt;&gt; bmats{2,2} = 2;
71 &gt;&gt; bmats{3,3} = 3*eye(2);
72 &gt;&gt; cmats{1,1} = 1;
73 &gt;&gt; cmats{2,2} = 1;
74 &gt;&gt; cmats{3,3} = eye(2);
75 &gt;&gt; dmats{1,3} = [6 6];
76 &gt;&gt; dmats{2,1} = 6;
77 &gt;&gt; dmats{3,2} = [6;6];
78 <FONT COLOR="#000000">&gt;&gt; sys = ssm(plist( </FONT><FONT COLOR="#0000ff">...</FONT>
79 <FONT COLOR="#a020f0">'amats'</FONT><FONT COLOR="#000000">,amats, </FONT><FONT COLOR="#a020f0">'bmats'</FONT><FONT COLOR="#000000">,bmats, </FONT><FONT COLOR="#a020f0">'cmats'</FONT><FONT COLOR="#000000">,cmats, </FONT><FONT COLOR="#a020f0">'dmats'</FONT><FONT COLOR="#000000">,dmats, </FONT><FONT COLOR="#0000ff">...</FONT>
80 <FONT COLOR="#a020f0">'timestep'</FONT><FONT COLOR="#000000">,timestep, </FONT><FONT COLOR="#a020f0">'name'</FONT><FONT COLOR="#000000">,name));</FONT>
81 <FONT COLOR="#000000">&gt;&gt; sys.setParams(plist({</FONT><FONT COLOR="#a020f0">'OMEGA'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'system frequency'</FONT><FONT COLOR="#000000">}, 2))</FONT>
82 <FONT SIZE=2><FONT FACE="Courier New, monospace"><FONT COLOR="#000000">M: running ssm/ssm</FONT></FONT></FONT>
83 M: running ssmFromDescription
84 M: running validate
85 M: running ssm/setParams
86 M: running display
87 ------ ssm/1 -------
88 amats: { [1x1] [] []
89 [] [1x1] []
90 [2x1] [] [2x2] } [3x3]
91 mmats: { [1x1] [] []
92 [] [1x1] []
93 [] [] [2x2] } [3x3]
94 bmats: { [1x1] [] []
95 [] [1x1] []
96 [] [] [2x2] } [3x3]
97 cmats: { [1x1] [] []
98 [] [1x1] []
99 [] [] [2x2] } [3x3]
100 dmats: { [] [] [1x2]
101 [1x1] [] []
102 [] [2x1] [] } [3x3]
103 timestep: 0
104 inputs: [1x3 ssmblock]
105 1 : input 1 | input 1 &gt; 1 []
106 2 : input 2 | input 2 &gt; 1 []
107 3 : input 3 | input 3 &gt; 1 [], input 3 &gt; 2 []
108 states: [1x3 ssmblock]
109 1 : state 1 | state 1 &gt; 1 []
110 2 : state 2 | state 2 &gt; 1 []
111 3 : state 3 | state 3 &gt; 1 [], state 3 &gt; 2 []
112 outputs: [1x3 ssmblock]
113 1 : output 1 | output 1 &gt; 1 []
114 2 : output 2 | output 2 &gt; 1 []
115 3 : output 3 | output 3 &gt; 1 [], output 3 &gt; 2 []
116 params: (OMEGA=2) [1x1 plist]
117 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
118 Ninputs: 3
119 inputsizes: [1 1 2]
120 Noutputs: 3
121 outputsizes: [1 1 2]
122 Nstates: 3
123 statesizes: [1 1 2]
124 Nparams: 1
125 isnumerical: false
126 hist: ssm.hist [1x1 history]
127 procinfo: (empty-plist) [1x1 plist]
128 plotinfo: (empty-plist) [1x1 plist]
129 name: sys
130 description:
131 mdlfile:
132 UUID: 227fd0a2-1de0-4e01-855f-d0548e1eb1ff
133 --------------------</PRE></DIV><P>
134 <BR><BR>
135 </P>
136 <P>In then we set the names and descriptions of the input blocks, the
137 names, descriptions and units of the port variables:</P>
138 <DIV CLASS="fragment"><PRE><FONT COLOR="#000000">&gt;&gt; sys.setBlockNames(plist(</FONT><FONT COLOR="#a020f0">'field'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'inputs'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'blocks'</FONT><FONT COLOR="#000000">, [1 2 3], </FONT><FONT COLOR="#a020f0">'names'</FONT><FONT COLOR="#000000">, {</FONT><FONT COLOR="#a020f0">'myinput1'</FONT><FONT COLOR="#000000">,</FONT><FONT COLOR="#a020f0">'myinput2'</FONT><FONT COLOR="#000000">,</FONT><FONT COLOR="#a020f0">'myinput3'</FONT><FONT COLOR="#000000">} ));</FONT>
139 <FONT COLOR="#000000">&gt;&gt; sys.setBlockDescriptions(plist(</FONT><FONT COLOR="#a020f0">'field'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'inputs'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'blocks'</FONT><FONT COLOR="#000000">, {</FONT><FONT COLOR="#a020f0">'myinput1'</FONT><FONT COLOR="#000000">}, </FONT><FONT COLOR="#a020f0">'descriptions'</FONT><FONT COLOR="#000000">,{</FONT><FONT COLOR="#a020f0">'myinput1 description'</FONT><FONT COLOR="#000000">} ));</FONT>
140 <FONT COLOR="#000000">&gt;&gt; sys.setPortNames(plist(</FONT><FONT COLOR="#a020f0">'field'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'inputs'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'block'</FONT><FONT COLOR="#000000">, {</FONT><FONT COLOR="#a020f0">'myinput3'</FONT><FONT COLOR="#000000">}, </FONT><FONT COLOR="#a020f0">'ports'</FONT><FONT COLOR="#000000">, [1 2], </FONT><FONT COLOR="#a020f0">'names'</FONT><FONT COLOR="#000000">,{</FONT><FONT COLOR="#a020f0">'my port 3-1'</FONT><FONT COLOR="#000000"> </FONT><FONT COLOR="#a020f0">'my port 3-2'</FONT><FONT COLOR="#000000">} ));</FONT>
141 <FONT COLOR="#000000">&gt;&gt; sys.setPortDescriptions(plist(</FONT><FONT COLOR="#a020f0">'field'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'inputs'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'block'</FONT><FONT COLOR="#000000">, {</FONT><FONT COLOR="#a020f0">'myinput3'</FONT><FONT COLOR="#000000">}, </FONT><FONT COLOR="#a020f0">'ports'</FONT><FONT COLOR="#000000">, [1 2], </FONT><FONT COLOR="#a020f0">'descriptions'</FONT><FONT COLOR="#000000">,{</FONT><FONT COLOR="#a020f0">'first description'</FONT><FONT COLOR="#000000"> </FONT><FONT COLOR="#a020f0">'second description'</FONT><FONT COLOR="#000000">} ));</FONT>
142 <FONT COLOR="#000000">&gt;&gt; sys.setPortUnits(plist(</FONT><FONT COLOR="#a020f0">'field'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'inputs'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'block'</FONT><FONT COLOR="#000000">, {</FONT><FONT COLOR="#a020f0">'myinput3'</FONT><FONT COLOR="#000000">}, </FONT><FONT COLOR="#a020f0">'ports'</FONT><FONT COLOR="#000000">, [1 2], </FONT><FONT COLOR="#a020f0">'units'</FONT><FONT COLOR="#000000">, [unit(</FONT><FONT COLOR="#a020f0">'kg m^-2'</FONT><FONT COLOR="#000000">) unit(</FONT><FONT COLOR="#a020f0">'m'</FONT><FONT COLOR="#000000">)] ));</FONT>
143 &gt;&gt; sys.inputs
144 M: running ssm/setBlockNames
145 M: running ssm/setBlockDescriptions
146 M: running ssm/setPortNames
147 ------ ssmport/1 -------
148 name: my port 3-1
149 units: [] [1x1 unit]
150 description:
151 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
152 ------------------------
153 ------ ssmport/2 -------
154 name: my port 3-2
155 units: [] [1x1 unit]
156 description:
157 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
158 ------------------------
159 M: running ssm/setPortDescriptions
160 ------ ssmport/1 -------
161 name: my port 3-1
162 units: [] [1x1 unit]
163 description: first description
164 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
165 ------------------------
166 ------ ssmport/2 -------
167 name: my port 3-2
168 units: [] [1x1 unit]
169 description: second description
170 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
171 ------------------------
172 M: running ssm/setPortUnits
173 ------ ssmblock/1 -------
174 name: myinput1
175 ports: input 1 &gt; 1 [] [1x1 ssmport]
176 description: myinput1 description
177 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
178 -------------------------
179 ------ ssmblock/2 -------
180 name: myinput2
181 ports: input 2 &gt; 1 [] [1x1 ssmport]
182 description:
183 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
184 -------------------------
185 ------ ssmblock/3 -------
186 name: myinput3
187 ports: my port 3-1 [kg m^(-2)], my port 3-2 [m] [1x2 ssmport]
188 description:
189 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
190 <FONT SIZE=2><FONT FACE="Courier New, monospace"><FONT COLOR="#000000">-------------------------</FONT></FONT></FONT></PRE></DIV><H2>
191 Modifying the parameter values</H2>
192 <P>Once the parameter field &ldquo;params&rdquo; is set, one may want
193 to set or modify (like in an optimizer) the parameter values. This is
194 done by the functions &ldquo;*Parameters.m&rdquo;. The function
195 setParameters takes two inputs ('setnames' and 'setvalues') which are
196 the names of the parameters to modify and the values assigned to
197 them.</P>
198 <DIV CLASS="fragment"><PRE>&gt;&gt; sys.params
199 <FONT COLOR="#000000">&gt;&gt; sys.setParameters(</FONT><FONT COLOR="#a020f0">'OMEGA'</FONT><FONT COLOR="#000000">, 0.002);</FONT>
200 &gt;&gt; sys.params
201 ----------- plist 01 -----------
202 n params: 1
203 ---- param 1 ----
204 key: OMEGA
205 val: 2
206 desc: system frequency
207 -----------------
208 description:
209 UUID: 84ff1ed8-eee2-406c-89d8-7e6e703d36dd
210 --------------------------------
211 M: running setParameters
212 M: running ssm/ssm
213 ----------- plist 01 -----------
214 n params: 1
215 ---- param 1 ----
216 key: OMEGA
217 val: 0.002
218 desc: system frequency
219 -----------------
220 description:
221 UUID: 84ff1ed8-eee2-406c-89d8-7e6e703d36dd
222 --------------------------------</PRE></DIV><P>
223 The function subsParameterskeep and Parameters substitute numerical
224 values to the symbolic expressions, using a list of the parameters to
225 substitute (or its complementary). All parameters substituted are
226 removed from the &ldquo;params&rdquo; field. The call
227 &lt;system&gt;.keepParameters substitues all the parameters. The
228 field isnumerical is then set to 1, unless a parameter in the
229 matrices was forgotten in the params field.</P>
230 <DIV CLASS="fragment"><PRE>&gt;&gt; sys.keepParameters;
231 &gt;&gt; sys.params
232 &gt;&gt; sys.isNumeric
233
234 M: running keepParameters
235 ----------- plist 01 -----------
236 n params: 0
237 description:
238 UUID: 84ff1ed8-eee2-406c-89d8-7e6e703d36dd
239 --------------------------------
240 ans =
241 1</PRE></DIV><H2>
242 Modifying the inputs/states/outputs</H2>
243 <P><FONT COLOR="#000000">Les us first build a simple system
244 constituted of four parallel 1</FONT><FONT COLOR="#000000"><SUP>st</SUP></FONT><FONT COLOR="#000000">
245 order systems.</FONT></P>
246 <DIV CLASS="fragment"><PRE><FONT COLOR="#000000">&gt;&gt; name = </FONT><FONT COLOR="#a020f0">'sys'</FONT><FONT COLOR="#000000">;</FONT>
247 &gt;&gt; timestep = 0;
248 &gt;&gt; amats = {diag([-1 -2 -3 -4])};
249 &gt;&gt; bmats = {diag([1 2 0 0])};
250 &gt;&gt; cmats = {[diag([1 0 3 0]) ; [0 0 0 0 ]]};
251 &gt;&gt; dmats = {[diag([0 0 0 0]) ; [0 0 0 0 ]]};
252 <FONT COLOR="#000000">&gt;&gt; sys = ssm(plist( </FONT><FONT COLOR="#0000ff">...</FONT>
253 <FONT COLOR="#a020f0">'amats'</FONT><FONT COLOR="#000000">,amats, </FONT><FONT COLOR="#a020f0">'bmats'</FONT><FONT COLOR="#000000">,bmats, </FONT><FONT COLOR="#a020f0">'cmats'</FONT><FONT COLOR="#000000">,cmats, </FONT><FONT COLOR="#a020f0">'dmats'</FONT><FONT COLOR="#000000">,dmats, </FONT><FONT COLOR="#0000ff">...</FONT>
254 <FONT COLOR="#a020f0">'timestep'</FONT><FONT COLOR="#000000">,timestep, </FONT><FONT COLOR="#a020f0">'name'</FONT><FONT COLOR="#000000">,name));</FONT>
255 <FONT COLOR="#000000">It is possible to obtain the structural realization of the system using sMinReal. This function deletes states which are either not observable or controllable. However, there may still exist such linear combinations of states.</FONT>
256 <FONT COLOR="#000000">The process only modify the states, here the 2</FONT><FONT COLOR="#000000"><SUP>nd</SUP></FONT><FONT COLOR="#000000"> and 4rt states disappear since they are not observable, and the 3</FONT><FONT COLOR="#000000"><SUP>rd</SUP></FONT><FONT COLOR="#000000"> and 4</FONT><FONT COLOR="#000000"><SUP>th</SUP></FONT><FONT COLOR="#000000"> disappear since they are not controllable.</FONT>
257 &gt;&gt; sys.sMinReal
258 M: running ssm/ssm
259 M: running ssmFromDescription
260 M: running validate
261 M: running ssm/sMinReal
262 M: running display
263 ------ ssm/1 -------
264 amats: { [1x1] } [1x1]
265 mmats: { [1x1] } [1x1]
266 bmats: { [1x4] } [1x1]
267 cmats: { [5x1] } [1x1]
268 dmats: { [] } [1x1]
269 timestep: 0
270 inputs: [1x1 ssmblock]
271 1 : input 1 | input 1 &gt; 1 [], input 1 &gt; 2 [], input 1 &gt; 3 [], input 1 &gt; 4 []
272 states: [1x1 ssmblock]
273 1 : state 1 | state 1 &gt; 1 []
274 outputs: [1x1 ssmblock]
275 1 : output 1 | output 1 &gt; 1 [], output 1 &gt; 2 [], output 1 &gt; 3 [], output 1 &gt; 4 [], output 1 &gt; 5 []
276 params: (empty-plist) [1x1 plist]
277 version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $
278 Ninputs: 1
279 inputsizes: 4
280 Noutputs: 1
281 outputsizes: 5
282 Nstates: 1
283 statesizes: 1
284 Nparams: 0
285 isnumerical: true
286 hist: ssm.hist [1x1 history]
287 procinfo: (empty-plist) [1x1 plist]
288 plotinfo: (empty-plist) [1x1 plist]
289 name: sys
290 description:
291 mdlfile:
292 UUID: 349cd9c4-ad91-4151-b542-63d34b01bed8
293 --------------------</PRE></DIV><P>
294 Then we can work on the input/outputs to simplify the model.</P>
295 <P>The user must specify which block variable he want to keep, and
296 three syntaxes are allowed.
297 </P>
298 <UL>
299 <LI><P>'ALL'
300 meaning all ports in all blocks are kept</P>
301 <LI><P>{&lt;varname1&gt;
302 &lt;varname2&gt; &hellip;} giving the name of each port to keep, in
303 this case one must ensure ports of different blocks have different
304 names.</P>
305 <LI><P>{&lt;logical
306 index for block1&gt; &lt;double index for block2&gt; &lt;varnames
307 cellstr for block3&gt; &ldquo;ALL&rdquo; &ldquo;NONE&rdquo;} using a
308 different index for each individual block.</P>
309 </UL>
310 <P>This
311 syntax is also used for any converter to select the inputs and
312 outputs in the ssm.</P>
313 <P>It is important to note that this removes lines and columns in the
314 system's matrices, but no parameters are removed. So second order
315 parameters that should be remove (by setting them to a neutral value)
316 must be taken care of separately.</P>
317 <DIV CLASS="fragment"><PRE><FONT FACE="Courier New, monospace"><FONT COLOR="#000000">&gt;&gt; sys.simplify(plist(</FONT><FONT COLOR="#a020f0">'inputs'</FONT><FONT COLOR="#000000">, {[1 2]} , </FONT><FONT COLOR="#a020f0">'states'</FONT><FONT COLOR="#000000">, </FONT><FONT COLOR="#a020f0">'ALL'</FONT><FONT COLOR="#000000"> , </FONT><FONT COLOR="#a020f0">'outputs'</FONT><FONT COLOR="#000000">, { </FONT><FONT COLOR="#a020f0">'output 1 &gt; 1'</FONT><FONT COLOR="#000000"> </FONT><FONT COLOR="#a020f0">'output 1 &gt; 4'</FONT><FONT COLOR="#000000">}))</FONT></FONT>
318 <FONT FACE="Courier New, monospace"><FONT COLOR="#000000"><FONT SIZE=2>M: running ssm/simplify</FONT></FONT></FONT>
319 <FONT FACE="Courier New, monospace">M: running ssm/ssm</FONT>
320 <FONT FACE="Courier New, monospace">M: running ssm/simplify</FONT>
321 <FONT FACE="Courier New, monospace">M: running display</FONT>
322 <FONT FACE="Courier New, monospace">------ ssm/1 -------</FONT>
323 <FONT FACE="Courier New, monospace">amats: { [1x1] } [1x1]</FONT>
324 <FONT FACE="Courier New, monospace">mmats: { [1x1] } [1x1]</FONT>
325 <FONT FACE="Courier New, monospace">bmats: { [1x2] } [1x1]</FONT>
326 <FONT FACE="Courier New, monospace">cmats: { [2x1] } [1x1]</FONT>
327 <FONT FACE="Courier New, monospace">dmats: { [] } [1x1]</FONT>
328 <FONT FACE="Courier New, monospace">timestep: 0</FONT>
329 <FONT FACE="Courier New, monospace">inputs: [1x1 ssmblock]</FONT>
330 <FONT FACE="Courier New, monospace">1 : input 1 | input 1 &gt; 1 [], input 1 &gt; 2 []</FONT>
331 <FONT FACE="Courier New, monospace">states: [1x1 ssmblock]</FONT>
332 <FONT FACE="Courier New, monospace">1 : state 1 | state 1 &gt; 1 []</FONT>
333 <FONT FACE="Courier New, monospace">outputs: [1x1 ssmblock]</FONT>
334 <FONT FACE="Courier New, monospace">1 : output 1 | output 1 &gt; 1 [], output 1 &gt; 4 []</FONT>
335 <FONT FACE="Courier New, monospace">params: (empty-plist) [1x1 plist]</FONT>
336 <FONT FACE="Courier New, monospace">version: $Id: ssm_modify_content.html,v 1.2 2009/08/28 15:11:53 adrien Exp $</FONT>
337 <FONT FACE="Courier New, monospace">Ninputs: 1</FONT>
338 <FONT FACE="Courier New, monospace">inputsizes: 2</FONT>
339 <FONT FACE="Courier New, monospace">Noutputs: 1</FONT>
340 <FONT FACE="Courier New, monospace">outputsizes: 2</FONT>
341 <FONT FACE="Courier New, monospace">Nstates: 1</FONT>
342 <FONT FACE="Courier New, monospace">statesizes: 1</FONT>
343 <FONT FACE="Courier New, monospace">Nparams: 0</FONT>
344 <FONT FACE="Courier New, monospace">isnumerical: true</FONT>
345 <FONT FACE="Courier New, monospace">hist: ssm.hist [1x1 history]</FONT>
346 <FONT FACE="Courier New, monospace">procinfo: (empty-plist) [1x1 plist]</FONT>
347 <FONT FACE="Courier New, monospace">plotinfo: (empty-plist) [1x1 plist]</FONT>
348 <FONT FACE="Courier New, monospace">name: sys</FONT>
349 <FONT FACE="Courier New, monospace">description: </FONT>
350 <FONT FACE="Courier New, monospace">mdlfile: </FONT>
351 <FONT FACE="Courier New, monospace">UUID: 8e55110a-eb07-44d2-aaee-4f839a5fb155</FONT>
352 <FONT FACE="Courier New, monospace">--------------------</FONT>
353 </PRE></DIV>
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365 "Building from built-in models"></a>&nbsp;</td>
366
367 <td align="left">Building from built-in models</td>
368
369 <td>&nbsp;</td>
370
371 <td align="right">Assembling systems</td>
372
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