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NonlinearSystems

Guides

  • Guide to ZigangPan`NonlinearSystems`

Symbols

  • convert2NLsystem
  • emptyNLsystem
  • linearization
  • NLcalculaterelativedegree
  • NLdynamicextension
  • NLsystemblockdiagonal
  • NLsystemcheck
  • NLsystemconcatenate
  • NLsystemfeedback
  • NLsystemoperation
  • NLsystemparallel
  • simulationNLsystem
  • sinewavesystem
ZigangPan`NonlinearSystems`
linearization
​
{system,y0}=linearization[nlsystem,operatingpoint]
linearizes
nlsystem
at the
operatingpoint
=
{x0,u0}
. The linearized system is
system
in LTI format and the output of the system at
operatingpoint
is
y0
.
​
Examples  
(1)
Basic Examples  
(1)
In[1]:=
nlsystem7={{x1,x2},{u1,u2},{y1,y2},{Function[{x1,x2,u1,u2},{-x1+x1*x2+u1,-x2^3+u1+u2}],Function[{x1,x2,u1,u2},{x1,x2}]},{1,2},{1,2},{1,2},{},{1,2},{}};
In[2]:=
NLsystemcheck
[nlsystem7]
Out[2]=
True
In[3]:=
{system,y0}=
linearization
[nlsystem7,{{1,0},{1,-1}}]
Out[3]=
{{{x1l,x2l},{u1l,u2l},{y1l,y2l},{{-1,1,1,0},{0,0,1,1},{1,0,0,0},{0,1,0,0}},{1,2},{1,2},{1,2},{},{1,2},{}},{1,0}}
In[4]:=
systemcheck[system]
Out[4]=
True
SeeAlso
NLsystemcheck
 
▪
convert2NLsystem
""

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