abcd

state-space matrices

Calling Sequence

[A,B,C,D]=abcd(sl)

Arguments

:sl linear system ( syslin list) in state-space or transfer form : :A,B,C,D real matrices of appropriate dimensions :

Description

returns the A,B,C,D matrices from a linear system Sl.

Utility function. For transfer matrices Sl is converted into state- space form by tf2ss.

The matrices A,B,C,D are the elements 2 to 5 of the syslin list Sl, i.e. [A,B,C,D] = Sl(2:5) .

Examples

A=`diag`_([1,2,3]);B=[1;1;1];C=[2,2,2];
sys=`syslin`_('c',A,B,C);
sys("A")
sys("C")
[A1,B1,C1,D1]=abcd(sys);
A1
systf=`ss2tf`_(sys);
[a,b,c,d]=abcd(systf)
`spec`_(a)
c*b-C*B
c*a*b-C*A*B

See Also

• syslin linear system definition
• ssrand random system generator