Compute the DC gain of LTI system.
Inputs
LTI system created by tf(), ss(), dss(), etc.
Outputs
DC gain matrix. For a system with m inputs and p outputs, the array k has dimensions [p, m].
Transfer function for a continuous state space system (A,B,C,D) G(s) = C * inv(s*I - A) * B + D
DC Gain: evaluate G(s) as s -> 0: k = C * inv(-A) * B + D
Transfer function for a discrete state space system (A,B,C,D,T) G(z) = C * inv(z*I - A) * B + D
DC Gain: evaluate G(z) as z -> 1: k = C * inv(I-A) * B + D
Example
G = Transfer function 'G' from input 'u1' to output ... 1 y1: --------------------- s^3 + 2 s^2 + 3 s + 4 octave:1> K = dcgain(G) K = 0.25000
See also: freqresp,tf,ss,dss.
Package: control