Feedback in a closed-loop system is used to compare the actual output with the desired output, allowing for error correction.

Increasing the feedback gain can improve stability and reduce steady-state error, but excessive gain may lead to instability.

Root locus is a graphical method used to analyze how the roots of a system's characteristic equation change with varying gain, helping to assess stability.

The primary disadvantage of an open-loop control system is that it cannot correct errors in output since it does not utilize feedback.

A PID controller aims to eliminate steady-state error by adjusting the control output based on proportional, integral, and derivative terms.

The time constant in a first-order system indicates how quickly the system responds to changes in input, with a smaller time constant indicating a faster response.

The transfer function is a mathematical representation that describes the relationship between the input and output of a system in the Laplace domain.

A stable system in a Bode plot is indicated by a positive gain margin, which means the system can tolerate some increase in gain before becoming unstable.

Open-loop systems are simpler and easier to design since they do not require feedback mechanisms.

Closed-loop systems are not necessarily faster than open-loop systems; their speed depends on the design and parameters of the system.

Closed-loop systems are generally more robust to disturbances because they use feedback to adjust and maintain the desired output.