append (Control System Toolbox)

Group LTI models by appending their inputs and outputs

Syntax

sys = append(sys1,sys2,...,sysN)

Description

append

appends the inputs and outputs of the LTI models sys1,...,sysN to form the augmented model sys depicted below.

For systems with transfer functions

,...,

, the resulting system sys has the block-diagonal transfer function

For state-space models sys1 and sys2 with data

and

, append(sys1,sys2) produces the following state-space model.

Arguments

The input arguments sys1,..., sysN can be LTI models of any type. Regular matrices are also accepted as a representation of static gains, but there should be at least one LTI object in the input list. The LTI models should be either all continuous, or all discrete with the same sample time. When appending models of different types, the resulting type is determined by the precedence rules (see "Precedence Rules" in the manual for details).

There is no limitation on the number of inputs.

Example

The commands

sys1 = tf(1,[1 0])
sys2 = ss(1,2,3,4)
sys = append(sys1,10,sys2)

produce the state-space model

sys

a = 
                        x1           x2
           x1            0            0
           x2            0      1.00000

b = 
                        u1           u2           u3
           x1      1.00000            0            0
           x2            0            0      2.00000

c = 
                        x1           x2
           y1      1.00000            0
           y2            0            0
           y3            0      3.00000
 
d = 
                        u1           u2           u3
           y1            0            0            0
           y2            0     10.00000            0
           y3            0            0      4.00000
 
Continuous-time system.