zpk

Constructs a zero, pole, gain model.

Syntax

SYS = zpk()

SYS = zpk('s')

SYS = zpk('z', Ts)

SYS = zpk(Z, P, K)

SYS = zpk(Z, P, K, Ts)

Inputs

Z
A vector; zeros of the system.
P
A vector; poles of the system.
K
A scalar; gains of the system.
Ts
Sampling time (in seconds).
Ts = -1 leaves the sampling time unspecified.
Ts = 0 by default.

Outputs

SYS
A zero, pole, gain model (a table).

Examples

Example 1: 
sys = zpk('s')
sys = object [
DisplayFormat: roots
TimeUnit: seconds
ts: 0
Variable: s
k: 1
p: 
{
[1,1] p = [Matrix] 0 x 1
type: ZeroPoleGainModel
z: 
{
[1,1] z = 0
]
Example 2: 
sys = zpk([0 -3], [-3,-3+i,-1-i], 8, 9)
sys = object [
DisplayFormat: roots
TimeUnit: seconds
ts: 9
Variable: s
k: 8
p: 
{
[1,1] p = [Matrix] 1 x 3
-3 + 0i  -3 + 1i  -1 - 1i
type: ZeroPoleGainModel
z: 
{
[1,1] z = [Matrix] 1 x 2
0  -3
]
Example 3: 
sys = zpk([], [], 7)
sys = object [
DisplayFormat: roots
TimeUnit: seconds
ts: -2
Variable: s
k: 7
p: 
{
[1,1] p = [Matrix] 0 x 1
type: ZeroPoleGainModel
z: 
{
[1,1] z = [Matrix] 0 x 1
]

Comments

This generates a zero-pole-gain (ZPK) model.