To find transfer function from state space representation
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The document discusses methods to determine the transfer function from state space representation, focusing on two approaches: a direct formula and MATLAB software. It provides a breakdown of the mathematical framework involved in the first method, including the necessary matrices, and outlines the steps to implement the second method using MATLAB's `ss2tf` function. Examples and script snippets are included to illustrate the process and expected outputs.
![1st Method Direct Formula
As we know the formula to find TF from state space
TF=C[SI-A] B+D
Where A ,B,C,D ARE THE MATRIX get from the state space
We have to take care of order of matrix while solving
-1](https://image.slidesharecdn.com/tofindtransferfunctionfromstatespacerepresentation-200720155218/85/To-find-transfer-function-from-state-space-representation-3-320.jpg)
![• A=[-1 -4 -1;-1 -6 -2;-1 -2 -3];
• B=[0;1;1];
• C=[1 1 1]
• D=[0]
• [n,d]=ss2tf(A,B,C,D)
Note-ss2tf function is used to
fin Transfer Function
Click on RUN and ADVANCE](https://image.slidesharecdn.com/tofindtransferfunctionfromstatespacerepresentation-200720155218/85/To-find-transfer-function-from-state-space-representation-6-320.jpg)
To find transfer function from state space representation
- 1. Shri Ramdeobaba College of Engineering & Management (An Autonomous Institute under UGC Act) Department of Electrical Engineering Topic : DIFFERENT METHODS TO FIND TRANSFER FUNCTION FROM STATE SPACE REPRESENTATION Subject :CONTROL SYSTEM Presented By- Name : Sheikh Mohammad Sajid Roll No. : 07 Specialization : Master of Technology Branch : Power Electronics & Power Systems Year / Semester : Ist / 2nd
- 2. To Find Transfer Function From State Space Representation Suppose Example – dx/dt= -1 -4 -1 0 -1 -6 -2 x + 1 u -1 -2 -3 1 y= 1 1 1 x We solve these problem by two method by direct formula and second one with the help of Matlab Software.
- 3. 1st Method Direct Formula As we know the formula to find TF from state space TF=C[SI-A] B+D Where A ,B,C,D ARE THE MATRIX get from the state space We have to take care of order of matrix while solving -1
- 5. 2nd method using MATLAB Software Open Matlab Open Script Write the Matlab Program as follows. As we now the values of A,B,C,D
- 6. • A=[-1 -4 -1;-1 -6 -2;-1 -2 -3]; • B=[0;1;1]; • C=[1 1 1] • D=[0] • [n,d]=ss2tf(A,B,C,D) Note-ss2tf function is used to fin Transfer Function Click on RUN and ADVANCE
- 7. Get the result in Command window n = 0 2.0000 2.0000 -3.0000 d = 1.0000 10.0000 18.0000 6.0000