sysconv

Arguments

s1,s2

list (linear syslin systems)

Description

Converts s1 and s2 into common representation in order that system interconnection operations can be applied. Utility function for experts. The conversion rules in given in the following table.

"c"

continuous time system

"d"

discrete time system

n

sampled system with sampling period n

[]

system with undefined time domain For mixed systems s1 and s2 are put in state-space representation.

s1\s2 |    "c"     |     "d"     |      n2        |     []     |
---------------------------------------------------------------
"c"   | nothing    |uncompatible | c2e(s1,n2)     |  c(s2)     |
---------------------------------------------------------------
"d"   |uncompatible| nothing     | e(s1,n2)       |  d(s2)     |
---------------------------------------------------------------
n1    | c2e(s2,n1) | e(s2,n1)    | n1<>n2 uncomp  |  e(s2,n1)  |
      |            |             | n1=n2  nothing |            |
---------------------------------------------------------------
[]    | c(s1)      | d(s1)       | e(s1,n2)       |  nothing   |
---------------------------------------------------------------

With the following meaning:

n1,n2

sampling period

c2e(s,n)

the continuous-time system s is transformed into a sampled system with sampling period n.

c(s)

conversion to continuous (time domain is "c")

d(s)

conversion to discrete (time domain is "d")

e(s,n)

conversion to samples system with period n

Examples

s1=ssrand(1,1,2);
s2=ss2tf(s1);
[s1,s2]=sysconv(s1,s2);

See also

• syslin — définition d'un système dynamique linéaire
• ss2tf — conversion from state-space to transfer function
• tf2ss — transfer to state-space