Web-Based Control System Analysis and Design

Connect

DESCRIPTION:

This function will construct a state-space model from unconnected block-diagonal models. Different from other interconnection functions, this function allows the user to define the external inputs and external outputs for the connected system. So additional information should be submitted in this function.

It's important to understand that the indices for both inputs and outputs of two systems Sys1 and Sys2 should be assigned continuously. For example, Sys1 has n inputs and m outputs, Sys2 has p inputs and q outputs, then the indices for Sys1 inputs should be 1 to n, and the indices for Sys2 inputs should be n+1 to n+p; and the indices for Sys1 outputs should be 1 to m, the indices for Sys2 outputs should be m+1 to m+q.

In order to obtain the connected model Sys, the user needs to fill out the subsystem interconnection form which specifies the external inputs and external outputs of Sys and the connection information of two susbsystems. The first line of the form specifies the external inputs of Sys. The second line of the form specifies the external outputs of Sys. The third line of the form specifies the output indices of Sys1 which are connected to the input of Sys2. The forth line of the form specifies the input indices of Sys2 which are connected to the output of Sys1.

The following diagram shows how the arrays should be filled out for a certain connection of two subsystems.
Example.
System 1:
A matrix=


B matrix=


C matrix=


D matrix=



System 2:
A matrix=


B matrix=


C matrix=

D matrix=



Subsystem interconnection:
input array for external input =
output array for external output =
Inner connections:
The output index of system1 =
connected to
The input index of system2 =

Please choose models for two systems:

System type:

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

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