Signal Processing Toolbox

zp2ss

Convert zero-pole-gain filter parameters to state-space form

Syntax

• [A,B,C,D] = zp2ss(z,p,k)
  

Description

zp2ss converts a zero-pole-gain representation of a given system to an equivalent state-space representation.

[A,B,C,D] = zp2ss(z,p,k) finds a single input, multiple output, state-space representation

given a system in factored transfer function form.

Column vector p specifies the pole locations, and matrix z the zero locations with as many columns as there are outputs. The gains for each numerator transfer function are in vector k. The A, B, C, and D matrices are returned in controller canonical form.

Inf values may be used as place holders in z if some columns have fewer zeros than others.

Algorithm

zp2ss, for single-input systems, groups complex pairs together into two-by-two blocks down the diagonal of the A matrix. This requires the zeros and poles to be real or complex conjugate pairs.

See Also

sos2ss, ss2zp, tf2ss, zp2sos, zp2tf

zp2sos

zp2tf