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zpk2ss

Zero pole gain to state space

Syntax

S = zpk2ss(sys)

Arguments

sys

A linear dynamical system in zero-pole-gain representation (see zpk).

S

The state space representation of sys.

Description

Converts a zero pole gain representation to state space.

Examples

sys = zpk([2;1], [0;-3-%i;-3+%i], 2.5, "c")
typeof(sys)

S = zpk2ss(sys)
typeof(S)
--> sys = zpk([2;1], [0;-3-%i;-3+%i], 2.5, "c")
 sys  =
        (s-2) (s-1)
   2.5 -------------
       s (s^2+6s+10)

--> typeof(sys)
 ans  =
  "zpk"


--> S = zpk2ss(sys)
 S  =

 S(1)  (state-space system:)

  "lss"  "A"  "B"  "C"  "D"  "X0"  "dt"

 S(2)= A matrix =
   0.   1.         -0.3162278
   0.  -6.         -3.1622777
   0.   3.1622777   0.

 S(3)= B matrix =
   0.
   1.
   0.

 S(4)= C matrix =
  -5.   2.5  -0.7905694

 S(5)= D matrix =
   0.

 S(6)= X0 (initial state) =
   0.
   0.
   0.

 S(7)= Time domain =
  "c"

--> typeof(S)
 ans  =
  "state-space"

See Also

  • zp2ss — Zero pole gain to state space
  • zpk2tf — Zero pole gain to transfer function

History

VersionDescription
6.0

Function added.

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Last updated:
Mon Mar 27 11:52:43 GMT 2023