hank2sys
(Removed) Convert Hankel matrix to linear system model
Compatibility
hank2sys has been removed.
Syntax
[num,den] = hank2sys(h,ini,tol)
[num,den,sv] = hank2sys(h,ini,tol)
[a,b,c,d] = hank2sys(h,ini,tol)
[a,b,c,d,sv] = hank2sys(h,ini,tol)
Description
[num,den] = hank2sys(h,ini,tol) converts a
Hankel matrix h to a linear system transfer function with numerator
num and denominator den. The vectors
num and den list the coefficients of their
respective polynomials in ascending order of powers of z-1.
The argument ini is the system impulse at time zero. If
tol > 1, tol is the order of the
conversion. If tol < 1, tol is the tolerance in
selecting the conversion order based on the singular values. If you omit
tol, its default value is 0.01. This conversion uses the singular
value decomposition method.
[num,den,sv] = hank2sys(h,ini,tol) returns a
vector sv that lists the singular values of
h.
[a,b,c,d] = hank2sys(h,ini,tol) converts a
Hankel matrix h to a corresponding linear system state-space model.
a, b, c, and
d are matrices. The input parameters are the same as in the first
syntax above.
[a,b,c,d,sv] = hank2sys(h,ini,tol) is the same
as the syntax above, except that sv is a vector that lists the
singular values of h.
Examples
h = hankel([1 0 1]); [num,den,sv] = hank2sys(h,0,.01)
The output is
num =
0 1.0000 0.0000 1.0000
den =
1.0000 0.0000 0.0000 0.0000
sv =
1.6180
1.0000
0.6180
