Which of the following statements are $\text{CORRECT}$ for a controller?

1. In a proportional controller, a control action is proportional to the error
2. In an integral controller, a control action is proportional to the derivative of the error
3. There is no “offset” in the response of the closed-loop first-order process with a proportional controller
4. There is no “offset” in the response of the closed-loop first-order process with a proportional-integral controller

1. $\text{P}$ and $\text{Q}$ Only
2. $\text{P}$ and $\text{R}$ Only
3. $\text{P}$ and $\text{S}$ Only
4. $\text{Q}$ and $\text{S}$ Only