cls2dls

bilinear transform

Calling Sequence

[sl1]=cls2dls(sl,T [,fp])

Arguments

:sl,sl1 linear systems ( syslin lists) : :T real number, the sampling period : :fp prevarping frequency in hertz :

Description

given sl=[A,B,C,D] ( syslin list),a continuous time system cls2dls returns the sampled system obtained by the bilinear transform s=(2/T)*(z-1)/(z+1).

Examples

s=`poly`_(0,'s');z=`poly`_(0,'z');
sl=`syslin`_('c',(s+1)/(s^2-5*s+2));  //Continuous-time system in transfer form
slss=`tf2ss`_(sl);  //Now in state-space form
sl1=cls2dls(slss,0.2);  //sl1= output of cls2dls
sl1t=`ss2tf`_(sl1) // Converts in transfer form
sl2=`horner`_(sl,(2/0.2)*(z-1)/(z+1))   //Compare sl2 and sl1

See Also

• horner polynomial/rational evaluation