Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`LinearSystems`
uniformobservabilityindices  |
| {systemobservable,nO,observabilityindices,transformation,systemextended}=uniformobservabilityindices[system] systemextended systemobservable nO observabilityindices transformation systemextended | |
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]:=
{systemobservable,nO,observabilityindices,transformation,systemextended}=
[system]
 | uniformobservabilityindices |
State transformation is xold = transformation.xnew
State transformation is xold = transformation.xnew
State transformation is xold = transformation.xnew
Out[2]=
{True,4,{2,2},{{1,0,0,0},{0,0,1,0},{0,0,-3,1},{0,1,0,0}},{{x11,x21,x31,x41},{u1,u2,w1,w2},{y1,y2,z1,z2},{{-1,1,2,0,0,0,0,1},{0,0,0,0,0,0,0,0},{-2,0,-4,1,1,1,1,0},{-7,0,-5,0,2,4,4,1},{1,0,0,0,0,0,1,0},{0,0,1,0,0,0,0,1},{1,0,0,0,0,0,0,0},{0,0,1,0,0,0,0,0}},{1,2},{1,2},{1,2},{3,4},{1,2},{3,4}}}
In[3]:=
 | systemoperation |
State transformation is xold = transformation.xnew
Out[3]=
{{x1,x2,x3,x4},{u1,u2,w1,w2},{y1,y2,z1,z2},{{-1,2,0,1,0,0,0,1},{-2,-1,1,0,1,1,1,0},{-1,-2,-3,0,-1,1,1,1},{0,0,0,0,0,0,0,0},{1,0,0,0,0,0,1,0},{0,1,0,0,0,0,0,1},{1,0,0,0,0,0,0,0},{0,1,0,0,0,0,0,0}},{1,2},{1,2},{1,2},{3,4},{1,2},{3,4}}
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""