Web-Based Control System Analysis and Design

Series Interconnection

DESCRIPTION:

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

In this function, Sys1 should be the first subsystem, whose inputs will be the inputs for whole system. Sys2 should be the second subsystem, whose outputs will be the outputs for whole system. And some (or all) outputs of Sys1 are connected to the inputs of Sys2.

In order to build the series connection system 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 output indices of Sys1 which are connected to the input of Sys2. The second line of the form specifies the input indices of Sys2 which are connected to the output of Sys1. The following figure shows how to fill out the interconnection form for a general series interconnection. You may also refer to two examples below for specific systems.

Example1.
System 1:
A matrix=

B matrix=

C matrix=

D matrix=

System 2:
A matrix=

B matrix=

C matrix=

D matrix=

Subsystem interconnection:
The output indices of system1
series connecting to
The input indices of system2

Example2.
System 1:
A matrix=

B matrix=

C matrix=

D matrix=

System 2:
A matrix=

B matrix=

C matrix=

D matrix=

Subsystem interconnection:
The output indices of system1
series connecting to
The input indices of system2

System type:

Continuous-time.
Discrete-time with the sampling time of second
System 1:
1. Transfer-function (specify number of 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 number of 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:
Input the number of outputs of Sys1 which are connected to the input of Sys2: