Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`NonlinearSystems`
NLsystemoperation  |
| nlsystem2=NLsystemoperation[nlsystem,{'Commandstring'[,parameter]}] nlsystem | |
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]:=
 | NLsystemoperation |
Active | a1 | a2 | |||
Type | c1 | c2 | |||
names | System Function | u1 | u2 | ||
s1 | x1 | u1-x1+x1x2 | |||
s2 | x2 | u1+u2- 3 x2 | |||
a1 | m1 | y1 | x1 | ||
a2 | m2 | y2 | x2 |
Out[2]=
{{x1,x2},{u1,u2},{y1,y2},{Function[{x1,x2,u1,u2},{-x1+x1x2+u1,-+u1+u2}],Function[{x1,x2,u1,u2},{x1,x2}]},{1,2},{1,2},{1,2},{},{1,2},{}}
3
x2
In[3]:=
| NLsystemoperation |
State transformation is xnew = transformation[xold] and transformation is a pure function; One may attach the inverse transformation as the third element in type, which must also be a pure function.
Out[3]=
{{x11,x21},{u1,u2},{y1,y2},{Function[{x11,x21,u1,u2},{u1-x11+x11(+x21),u1+u2--2x11(u1-x11+x11(+x21))}],Function[{x11,x21,u1,u2},{x11,+x21}]},{1,2},{1,2},{1,2},{},{1,2},{}}
2
x11
3
(+x21)
2
x11
2
x11
2
x11
In[4]:=
 | NLsystemoperation |
Active | a1 | a2 | |||
Type | c1 | c2 | |||
names | System Function | u1 | u2 | ||
s1 | x11 | u1+x11(-1+ 2 x11 | |||
s2 | x21 | u1+u2- 3 ( 2 x11 2 x11 | |||
a1 | m1 | y1 | x11 | ||
a2 | m2 | y2 | 2 x11 |
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""