# Control Sytem Transfer Function Operations In MatLab®

In automatic control systems, transfer functions are very important. Matlab® provides various kinds of useful tools to manipulate transfer functions. Here you can find all the commands to manipulate and convert control system transfer functions in Matlab®.

## MatLab® Commands For Transfer Functions

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Here you can look at the list and find out the required transfer function command in Matlab®.

• The ‘tf2zp()’ Command In Matlab®: With the ‘tf2zp()’ command, you can convert a transfer function of a control system to zero-pole gain form easily.
• The ‘zp2tf()’ Command In Matlab®: This is the inverse type of the ‘tf2zp()’ command in which you can convert the zero-pole gain form of transfer function into a normal transfer function.
• The ‘tf2ss()’ Command In Matlab®: If you have an ordinary transfer function of a control system, you can calculate the state-space model of it with the ‘tf2ss()’ command in Matlab®.
• The ‘zp2ss()’ Command In Matlab®: If you have a zero-pole gain form of a transfer function of a control system, you can calculate the state-space model of it with the ‘zp2ss()’ command in Matlab®.
• The ‘ss2tf()’ Command In Matlab®: If the state-space model of a transfer function is known for a control system, it can be found that the ordinary transfer function with the ‘ss2tf()’ command in Matlab®.
• The ‘ss2zp()’ Command In Matlab®: Lastly, if you have a state-space model of a transfer function for a control system, you can calculate the zero-pole gain form of the transfer function in Matlab® with the ‘ss2zp()’ command.

As you understand that, conversion between zero-pole gain form, state-space model, and the ordinary forms of transfer functions of control systems are possible in Matlab®.

## Conclusion

The use of these commands in Matlab® is very simple.

Do not forget to leave your comments and questions below about the transfer function commands in Matlab® below.