parallel - Parallel connection of two LTI models

Syntax

parallel sys = parallel(sys1,sys2) sys = parallel(sys1,sys2,inp1,inp2,out1,out2) sys = parallel(sys1,sys2,'name')

Description

parallel connects two LTI models in parallel. This function accepts any type of LTI model. The two systems must be either both continuous or both discrete with identical sample time. Static gains are neutral and can be specified as regular matrices.

sys = parallel(sys1,sys2) forms the basic parallel connection shown in the following figure.

This command equals the direct addition

sys = sys1 + sys2

For details on LTI system addition, see Addition and Subtraction.

sys = parallel(sys1,sys2,inp1,inp2,out1,out2) forms the more general parallel connection shown in the following figure.

The vectors inp1 and inp2 contain indexes into the input channels of sys1 and sys2, respectively, and define the input channels u₁ and u₂ in the diagram. Similarly, the vectors out1 and out2 contain indexes into the outputs of these two systems and define the output channels y₁ and y₂ in the diagram. The resulting model sys has [v₁ ; u ; v₂] as inputs and [z₁ ; y ; z₂] as outputs.

sys = parallel(sys1,sys2,'name') connects sys1 and sys2 by matching I/O names. You must specify all I/O names of sys1 and sys2. The matching names appear in sys in the same order as in sys1. For example, the following specification:

sys1 = ss(eye(3),'InputName',{'C','B','A'},'OutputName',{'Z','Y','X'});
sys2 = ss(eye(3),'InputName',{'A','C','B'},'OutputName',{'X','Y','Z'});
parallel(sys1,sys2,'name')

returns this result:

d = 
      C  B  A
   Z  1  1  0
   Y  1  1  0
   X  0  0  2
 
Static gain.

Note If sys1 and sys2 are arrays of LTI models, parallel returns an LTI array sys of the same size, where sys(:,:,k)=parallel(sys1(:,:,k),sys2(:,:,k),inp1,...).

Example

See Kalman Filtering for an example.

parallel - Parallel connection of two LTI models

Syntax

Description

Example

See Also

Recommended Products