Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`LinearSystems`
controllercanonicalform  |
| {systemcontrollable,nC,controllabilityindices,transformation,systemb}=controllercanonicalform[system] system systemcontrollable nC controllabilityindices transformation system systemb | |
Examples
(1)
Basic Examples
(1)
In[1]:=
system={{x1,x2,x3},{u1,u2,w1,w2},{y1,y2,z1,z2},{{-1,2,0,0,0,0,1},{-2,-1,1,1,1,1,0},{-1,-2,-3,-1,1,1,1},{1,0,0,0,0,1,0},{0,1,0,0,0,0,1},{1,0,0,0,0,0,0},{0,1,0,0,0,0,0}},{1,2},{1,2},{1,2},{3,4},{1,2},{3,4}};
In[2]:=
{systemcontrollable,nC,controllabilityindices,transformation,systemb}=
[system]
 | controllercanonicalform |
State transformation is xold = transformation.xnew
Out[2]=
True,3,{2,1},,0,0,-,1,0,,,,{x11,x21,x31},{u1,u2,w1,w2},{y1,y2,z1,z2},{0,1,0,0,0,0,2},-,,,1,1,1,1,,-,-,0,1,1,0,,0,0,0,0,1,0,-,1,0,0,0,0,1,,0,0,0,0,0,0,-,1,0,0,0,0,0,{1,2},{1,2},{1,2},{3,4},{1,2},{3,4}
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7
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11
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21
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""