Mastering Matlab for Bode Plots: Understanding Transfer Functions Easily

In summary, To create a Bode plot in Matlab, you can use the tf function to define the transfer function using vectors for the coefficients of the numerator and denominator polynomials. Then, you can use the bode function to plot the Bode diagram, or alternatively, you can manually calculate and plot the Bode plot by substituting jw for s and solving the complex math for different values of w.
  • #1
onceinalifetim
38
0
Hello

I need to do bode plot..

but i not to sure how to use matlab..

i need this 1 / (a + bs)s

num = 1
how to key in the den to get (a + bs)s..

i try different way and i can't get 1/(a+bs)s

hope to get help
 
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  • #2
You can define vectors in descending powers of s, for both the numerator and the denomator:
ie, for s^3+5s+1, you would use :
den=[1 0 5 1], where the vector is made up of the coefficients of the polynomial in s.

Then, you use function tf to create the transfer function from the numerator and denominator created as described above. Then, you can invoke the bode function in Matlab to obtain the bode plot.

I don't remember if bode is part of the standard Matlab distribution or if it is part of a tool box...
In case it is not, you can do it yourself by substituting jw for s, and solving the complex math for the numerator and denominator and then taking the 20log of the numerator - 20log of the denominator for the different values of w.
 

1. What is a transfer function in Matlab?

A transfer function in Matlab is a mathematical representation of a system's input-output relationship. It is used to describe the behavior of a system in terms of its input and output signals, and can be used to analyze and design control systems.

2. How do I create a transfer function in Matlab?

To create a transfer function in Matlab, you can use the tf function. This function takes in two parameters: the numerator coefficients and the denominator coefficients of the transfer function. These coefficients can be entered as arrays or vectors, and the function will return a transfer function object.

3. Can I plot a transfer function in Matlab?

Yes, you can plot a transfer function in Matlab using the bode or nyquist functions. These functions will generate a Bode plot or Nyquist plot respectively, which can help visualize the frequency response and stability of the system described by the transfer function.

4. How do I use a transfer function to design a controller?

To use a transfer function to design a controller, you can use the pid function in Matlab. This function takes in the transfer function of the plant (system to be controlled) and the desired closed-loop response, and returns the parameters of a Proportional-Integral-Derivative (PID) controller that will achieve the desired response.

5. Can I convert a transfer function to a state-space model in Matlab?

Yes, you can convert a transfer function to a state-space model in Matlab using the tf2ss function. This function takes in the transfer function and returns the state-space representation of the system, which can be useful for further analysis and control design.

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