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Control package

1,411 bytes removed, 14 June
→‎Model Interconnection: Strip empty columns.
{| class="wikitable"
|-
! Chapter !! Function !! Implemented !! File !! Number of Tests !! Status !! SLICOT functions !! Priority (0-2)
|-
| rowspan="11" | Basic Models || tf || style="background: green;" | yes || @tf/tf.m || || || ||
|-
| zpk || style="background: green;" | yes || zpk.m || || || ||
|-
| ss || style="background: green;" | yes || @ss/ss.m || || || ||
|-
| frd || style="background: green;" | yes || @frd/frd.m || || || ||
|-
| pid || style="background: red;" | no || || || || ||
|-
| pidstd || style="background: red;" | no || || || || ||
|-
| pid2 || style="background: red;" | no || || || || ||
|-
| dss || style="background: green;" | yes || @lti/dss.m || || || ||
|-
| drss || style="background: red;" | no || || || || ||
|-
| filt || style="background: green;" | yes || filt.m || || || ||
|-
| rss || style="background: red;" | no || || || || ||
|-
| rowspan="24" | Tunable Models || ltiblock.gain || style="background: red;" | no || || || || ||
|-
| ltiblock.pid || style="background: red;" | no || || || || ||
|-
| ltiblock.pid2 || style="background: red;" | no || || || || ||
|-
| ltiblock.ss || style="background: red;" | no || || || || ||
|-
| ltiblock.tf || style="background: red;" | no || || || || ||
|-
| realp || style="background: red;" | no || || || || ||
|-
| AnalysisPoint || style="background: red;" | no || || || || ||
|-
| genss || style="background: red;" | no || || || || ||
|-
| genfrd || style="background: red;" | no || || || || ||
|-
| genmat || style="background: red;" | no || || || || ||
|-
| getLoopTransfer || style="background: red;" | no || || || || ||
|-
| getIOTransfer || style="background: red;" | no || || || || ||
|-
| getSensitivity || style="background: red;" | no || || || || ||
|-
| getCompSensitivity || style="background: red;" | no || || || || ||
|-
| getPoints || style="background: red;" | no || || || || ||
|-
| replaceBlock || style="background: red;" | no || || || || ||
|-
| getValue || style="background: red;" | no || || || || ||
|-
| setValue || style="background: red;" | no || || || || ||
|-
| getBlockValue || style="background: red;" | no || || || || ||
|-
| setBlockValue || style="background: red;" | no || || || || ||
|-
| showBlockValue || style="background: red;" | no || || || || ||
|-
| showTunable || style="background: red;" | no || || || || ||
|-
| nblocks || style="background: red;" | no || || || || ||
|-
| getLFTModel || style="background: red;" | no || || || || ||
|-
| rowspan="9" | Model with Time Delays || pade || style="background: red;" | no || || || || ||
|-
| absorbDelay || style="background: red;" | no || || || || ||
|-
| thiran || style="background: green;" | yes || thiran.m || || || ||
|-
| hasdelay || style="background: red;" | no || || || || ||
|-
| hasInternalDelay || style="background: red;" | no || || || || ||
|-
| totaldelay || style="background: red;" | no || || || || ||
|-
| delayss || style="background: red;" | no || || || || ||
|-
| setDelayModel || style="background: red;" | no || || || || ||
|-
| getDelayModel || style="background: red;" | no || || || || ||
|-
| rowspan="26" | Model Attributes || get || style="background: green;" | yes || @iddata/get.m || || || ||
|-
| set || style="background: green;" | yes || @iddata/set.m || || || ||
|-
| tfdata || style="background: green;" | yes || @lti/tfdata.m || || || ||
|-
| zpkdata || style="background: green;" | yes || @lti/zpkdata.m || || || ||
|-
| ssdata || style="background: green;" | yes || @lti/ssdata.m || || || ||
|-
| frdata || style="background: green;" | yes || @lti/frdata.m || || || ||
|-
| piddata || style="background: red;" | no || || || || ||
|-
| pidstddata || style="background: red;" | no || || || || ||
|-
| piddata2 || style="background: red;" | no || || || || ||
|-
| pidstddata2 || style="background: red;" | no || || || || ||
|-
| dssdata || style="background: green;" | yes || @lti/dssdata.m || || || ||
|-
| chgFreqUnit || style="background: red;" | no || || || || ||
|-
| chgTimeUnit || style="background: red;" | no || || || || ||
|-
| isct || style="background: green;" | yes || @lti/isct.m || || || ||
|-
| isdt || style="background: green;" | yes || @lti/isdt.m || || || ||
|-
| isempty || style="background: green;" | yes || built-in function || || || ||
|-
| isfinite || style="background: green;" | yes || built-in function || || || ||
|-
| isParametric || style="background: red;" | no || || || || ||
|-
| isproper || style="background: red;" | no || || || || ||
|-
| isreal || style="background: green;" | yes || built-in function || || || ||
|-
| isiso || style="background: red;" | no || || || || ||
|-
| isstable || style="background: green;" | yes || @lti/isstable.m || || || ||
|-
| isstatic || style="background: red;" | no || || || || ||
|-
| order || style="background: red;" | no || || || || ||
|-
| ndims || style="background: green;" | yes || built-in function || || || ||
|-
| size || style="background: green;" | yes || built-in function || || || ||
|-
| rowspan="5" | Model Arrays || stack || style="background: red;" | no || || || || ||
|-
| nmodels || style="background: red;" | no || || || || ||
|-
| permute || style="background: green;" | yes || built-in function || || || ||
|-
| reshape || style="background: green;" | yes || built-in function || || || ||
|-
| repsys || style="background: green;" | yes || repsys.m || || || ||
|-
|}
{| class="wikitable"
|-
! Function !! Implemented !! File !! Number of Tests !! Status !! SLICOT functions !! Priority (0-2)
|-
| feedback || style="background: green;" | yes || @lti/feedback.m || || || ||
|-
| connect || style="background: green;" | yes || @lti/connect.m || || || ||
|-
| sumblk || style="background: green;" | yes || sumblk.m || || || ||
|-
| series || style="background: redgreen;" | no || || || || yes ||@lti/series.m
|-
| parallel || style="background: redgreen;" | no || || || || yes ||@lti/parallel.m
|-
| append || style="background: green;" | yes || append.m || || || ||
|-
| blkdiag || style="background: green;" | yes || @lti/blkdiag.m || || || ||
|-
| imp2exp || style="background: red;" | no || || || || ||
|-
| inv || style="background: green;" | yes || built-in function || || || ||
|-
| lft || style="background: red;" | no || || || || ||
|-
| connectOptions || style="background: red;" | no || || || || ||
|-
|}
| getPeakGain || style="background: red;" | no || || || || ||
|-
| rowspan="1011" | Stability Analysis || pole || style="background: green;" | yes || @lti/pole.m || || || ||
|-
| zero || style="background: green;" | yes || @lti/zero.m || || || ||
|-
| damp || style="background: redgreen;" | no yes || damp.m || || || ||
|-
| dsort || style="background: redgreen;" | no yes || dsort.m || || || ||
|-
| esort || style="background: redgreen;" | no yes || esort.m || || || ||
|-
| tzero || style="background: red;" | no || || || || ||
|-
| pzmap || style="background: green;" | yes || pzmap.m || || || ||
|-
| pzplot || style="background: red;" | no || || || || ||
| pidtuneOptions || style="background: red;" | no || || || || ||
|-
| rowspan="45" | SISO Feedback Loops || rlocus || style="background: green;" | yes || rlocus.m || || || |||-| sgrid || style="background: red;" | no || || || || ||
|-
| rlocusplot || style="background: red;" | no || || || || ||
ymajorgrids,
enlarge x limits=false,
xmode=log,
]
\nextgroupplot[
title={Bode Diagram of $P$},
xmode=log,
ylabel={Magnitude / \si{\decibel}},
]
\addplot[blue,line width=1pt] table[x index=0,y index=1]{\datatable};
\nextgroupplot[
xmode=log,
xlabel={Frequency / \si{\radian\per\second}},
ylabel={Phase / \si{\degree}},
=== Inverted Pendulum ===
 
==== Model ====
A nonlinear model of the inverted pendulum can be derived by
</math>
and by ==== Transfer functions ==== By dividing the state variables by the input one obtains the transfer functions
<math>
</syntaxhighlight>}}
one obtains the Bode plots bode diagrams of the two transfer functions.
<div><ul>
</ul></div>
==References==<references />  [[Category:Octave-Forge]]

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