Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`LinearSystems`
observercanonicalform  |
| {systemobservable,nO,observabilityindices,transformation,systemb}=observercanonicalform[system] system systemobservable nO observabilityindices transformation system systemb | |
Examples
(1)
Basic Examples
(1)
In[1]:=
system=
;
[system]
 | emptyLTIsystem |
| observercanonicalform |
State transformation is xold = transformation.xnew
Out[1]=
{True,0,{},{},{{},{},{},{},{},{},{},{},{},{}}}
In[2]:=
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}};
[system]
| observercanonicalform |
State transformation is xold = transformation.xnew
Out[2]=
{True,3,{1,2},{{1,0,0},{0,1,0},{2,-3,1}},{{x11,x21,x31},{u1,u2,w1,w2},{y1,y2,z1,z2},{{-1,2,0,0,0,0,1},{0,-4,1,1,1,1,0},{-5,-9,0,2,4,4,-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}}}
""