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#### Concept explainers

The mathematical model that permits easy interconnection of physical system.

## Answer to Problem 1RQ

Transfer function model permits easy interconnection of physical system.

### Explanation of Solution

**Introduction:**

A mathematical model is defined as a model which describes the system with the help of mathematical concepts and language.

A control system is a group of physically connected components. In order to get the desired output by calibration, the control system can be regulated using the command. The integral part of the control system is input, output, and the system itself. For the input, the command is given. The system then processes that command and gives the final output. To study and analyse the control system, mathematical model is needed which can be used for easy interconnection of physical system. That system is the Transfer Function Model.

Transfer function model defines the relationship between system’s input and output using polynomials ratio. The denominator polynomial order represents the model order while the denominator polynomials poles represent model poles. Model zeros are the roots of the numerator polynomial. There are three parameters of transfer function model, poles, zeros and transport delays.

**Conclusion:**

Thus, transfer function model permits easy interconnection of physical system.

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# Chapter 2 Solutions

Control Systems Engineering

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