zp2ss (Signal Processing Toolbox)

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
Convert digital filter second-order section parameters to state-space form.

ss2zp
Convert state-space filter parameters to zero-pole-gain form.

tf2ss
Convert transfer function filter parameters to state-space form.

zp2sos
Convert digital filter zero-pole-gain parameters to second-order sections form.

zp2tf
Convert zero-pole-gain filter parameters to transfer function form.

`sos2ss`	Convert digital filter second-order section parameters to state-space form.
`ss2zp`	Convert state-space filter parameters to zero-pole-gain form.
`tf2ss`	Convert transfer function filter parameters to state-space form.
`zp2sos`	Convert digital filter zero-pole-gain parameters to second-order sections form.
`zp2tf`	Convert zero-pole-gain filter parameters to transfer function form.

zp2sos zp2tf