ZigangPan/LinearSystems | Paclet Repository

ZigangPan`LinearSystems`

systemcheck

[system]

returns

if system is a valid LTI system in proper representation: system={statenames,inputnames,outputnames,SystemMatrix,activeinputs,activeoutputs, controlinputs,disturbanceinputs,measurementoutputs,controlledoutpts}. Otherwise, it returns

False

. statenames: such as {x1,x2,x3}, is n dimensional; inputnames: such as {u1,u2,w1,w2}, is p dimensional; outputnames: such as {y1,y2,z1,z2}, is m dimensional; SystemMatrix: is the (n+m)×(n+p) dimensional system matrix; activeinputs: such as {1,2}, indicates that inputnames[[activeinputs]] are the active inputs; activeoutputs: such as {1,2}, indicates that outputnames[[activeoutputs]] are the active outputs; controlinputs: such as {1,2}, indicates that inputnames[[controlinputs]] are the control inputs; disturbanceinputs: such as {3,4}, indicates that inputnames[[disturbanceinputs]] are the disturbance inputs; measurementoutputs: such as {1,2}, indicates that outputnames[[measurementoutputs]] are the measured outputs; controlledoutputs: such as {3,4}, indicates that outputnames[[controlledoutputs]] are the controlled outputs (or performance variables).

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]:=

systemcheck

[system]

Out[2]=

True

In[3]:=

system1={{x1,x2,x3},{u1,w1,u2,w2},{y1,y2,z1,z2},{{-1,θ1,0,0,0,0,1},{-2,-1,1,1,1,1,0},{-1,-θ2,-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}},{1,3},{1,2},{1,3},{2,4},{1,2},{3,4}};

In[4]:=

systemcheck

[system1]

Out[4]=

True

SeeAlso

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RelatedGuides

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Guide for ZigangPan`LinearSystems`

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