Web-Based Control System Analysis and Design

## Parallel Interconnection

#### DESCRIPTION:

The function builds a system with parallel interconnection of two subsystem models.

In order to obtain the parallel connection model Sys, the user needs to fill out the subsystem interconnection form which specifies how two susbsystems are connected. The first line of the form specifies the input indices of Sys1 which are connected with the inputs of Sys2. The second line of the form specifies the input indices of Sys2 which are connected with the inputs of Sys1. The third line of the form specifies the output indices of Sys1 which sum with the outputs of Sys2 to form the outputs of the Sys. The forth line of the form specifies the output indices of Sys2 which sum with the outputs of Sys1 to form the outputs of the Sys. The following figure shows how to fill out the interconnection form for a general parallel interconnection. You may also refer to example below for specific systems.

Example.
System 1:
A matrix=

B matrix=

C matrix=

D matrix=

System 2:
A matrix=

B matrix=

C matrix=

D matrix=

Subsystem interconnection:
The input index of system1 =
parallel connecting with
The input index of system2 =

The output indices of system1 =
sum with
The output indices of system2 =

#### System type:

Continuous-time.
Discrete-time with the sampling time of second
System 1:
1. Transfer-function (specify the number coefficients of numerators and denominators below)
`   Numerator number :   Denominator number :`
2. Zero-Pole-Gain (specify number of zeros and poles below)
`   Zero number :   Pole number :`
3. State-space (specify matrix dimension for A,B,C and D below)
```        Dimension of matrix A: X
Dimension of matrix B: X
Dimension of matrix C: X
Dimension of matrix D: X  ```
System 2:
1. Transfer-function (specify the number coefficients of numerators and denominators below)
`   Numerator number :   Denominator number :`
2. Zero-Pole-Gain (specify number of zeros and poles below)
`   Zero number :   Pole number :`
3. State-space (specify matrix dimension for A,B,C and D below)
```        Dimension of matrix A: X
Dimension of matrix B: X
Dimension of matrix C: X
Dimension of matrix D: X  ```
Connection number:
Total number of input parallel connections:
Total number of output parallel connections: