Change language to:
Français - 日本語 - Português - Русский

See the recommended documentation of this function

# syslin

linear system definition

### Calling Sequence

```[sl]=syslin(dom,A,B,C [,D [,x0] ])
[sl]=syslin(dom,N,D)
[sl]=syslin(dom,H)```

### Arguments

dom

character string (`'c'`, `'d'`), or `[]` or a scalar.

A,B,C,D

matrices of the state-space representation (`D` optional with default value zero matrix). For improper systems `D` is a polynomial matrix.

x0

vector (initial state; default value is `0`)

N, D

polynomial matrices

H

rational matrix or linear state space representation

sl

tlist ("`syslin`" list) representing the linear system

### Description

`syslin` defines a linear system as a list and checks consistency of data.

`dom` specifies the time domain of the system and can have the following values:

`dom='c'` for a continuous time system, `dom='d'` for a discrete time system, `n` for a sampled system with sampling period `n` (in seconds).

`dom=[]` if the time domain is undefined

State-space representation:

`sl=syslin(dom,A,B,C [,D [,x0] ])`

represents the system :

The output of `syslin` is a list of the following form: `sl=tlist(['lss','A','B','C','D','X0','dt'],A,B,C,D,x0,dom)` Note that `D` is allowed to be a polynomial matrix (improper systems).

Transfer matrix representation:

```sl=syslin(dom,N,D)
sl=syslin(dom,H)```

The output of `syslin` is a list of the following form : `sl = rlist(N,D,dom)` or `sl=rlist(H(2),H(3),dom)`.

Linear systems defined as `syslin` can be manipulated as usual matrices (concatenation, extraction, transpose, multiplication, etc) both in state-space or transfer representation.

Most of state-space control functions receive a `syslin` list as input instead of the four matrices defining the system.

### Examples

```A=[0,1;0,0];B=[1;1];C=[1,1];
S1=syslin('c',A,B,C)   //Linear system definition
S1("A")    //Display of A-matrix
S1("X0"), S1("dt") // Display of X0 and time domain
s=poly(0,'s');
D=s;
S2=syslin('c',A,B,C,D)
H1=(1+2*s)/s^2, S1bis=syslin('c',H1)
H2=(1+2*s+s^3)/s^2, S2bis=syslin('c',H2)
S1+S2
[S1,S2]
ss2tf(S1)-S1bis
S1bis+S2bis
S1*S2bis
size(S1)```

• tlist — Scilab object and typed list definition.
• lsslist — Scilab linear state space function definition
• rlist — Scilab rational fraction function definition
• ssrand — random system generator
• ss2tf — conversion from state-space to transfer function
• tf2ss — transfer to state-space
• dscr — discretization of linear system
• abcd — state-space matrices
 Report an issue << sysfact CACSD (Computer Aided Control Systems Design) syssize >>