The type 1 system refers to a control system that has a transfer function with a pole at the origin (s = 0). In other words, the denominator of the transfer function has a factor of s, where s is the Laplace variable.

When analyzing the poles and zeros of a transfer function, we are looking at the values of s that make the denominator of the transfer function equal to zero. These values determine the stability and behavior of the system.

In the case of a type 1 system, the presence of a pole at the origin means that the transfer function has a factor of s in the denominator. This indicates that the system has a simple pole at the origin.

Explanation:
- Definition of a type 1 system
A type 1 system is a control system where the transfer function has a pole at the origin (s = 0). This means that the denominator of the transfer function has a factor of s.

- Analyzing the poles and zeros
When analyzing the poles and zeros of a transfer function, we set the denominator equal to zero and solve for the values of s that make it zero. These values determine the poles of the system. In the case of a type 1 system, we are specifically interested in the pole at the origin.

- Pole at the origin
A pole at the origin means that the transfer function has a factor of s in the denominator. This indicates that the system has a simple pole at the origin.

- Importance of the pole at the origin
The pole at the origin affects the stability and behavior of the system. It determines the response of the system to different inputs and the stability of the system. In a type 1 system, the presence of a simple pole at the origin can introduce certain characteristics and considerations in the analysis and design of the control system.

- Conclusion
In summary, a type 1 system has a simple pole at the origin (s = 0). This indicates that the transfer function of the system has a factor of s in the denominator, which affects the stability and behavior of the system.