dcgainmr

Reduced order model

Syntax

[sysr,syse,gain] = dcgainmr(sys,ord)

[sysr,syse,gain] = dcgainmr(sys,ord) returns a reduced order model of a continuous-time LTI system SYS by truncating modes with least DC gain.

Specify your LTI continuous-time system in sys. The order is specified in ord.

This function returns:

sysr—The reduced order models (a multidimensional array if sys is an LTI array)
syse—The difference between sys and sysr (syse=sys-sysr)
gain—The g-factors (dc-gains)

The DC gain of a complex mode

(1/(s+p))*c*b'

is defined as

norm(b)*norm(c)/abs(p)

Introduced in R2008a