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Conversion of zero-pole-gain to state-space.
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
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 |
Conversion of second-order sections to state-space. |
ss2zp |
Conversion of state-space to zero-pole-gain. |
tf2ss |
Conversion of transfer function to state-space. |
zp2sos |
Conversion of zero-pole-gain to second-order sections. |
zp2tf |
Conversion of zero-pole-gain to transfer function. |