Question

Consider a stable linear time-invariant (LTI) system with a transfer function G(s). Which of the following statements regarding Bode and Nyquist plots is true?

• A. Bode plots provide information about the system's stability, while Nyquist plots provide information about its frequency response.
• B. Bode plots are used to analyze the system's transient response, while Nyquist plots are used for steady-state analysis.
• C. Nyquist plots are applicable only for stable systems, while Bode plots can be used for both stable and unstable systems.
• D. Bode plots display the magnitude and phase response of the system, while Nyquist plots show the system's gain and phase margin.

Hint:

To evaluate stability, use Nyquist plots to check for encirclements and Bode plots for margin analysis.

Answer 1

The Correct Option is D

Bode plots are used to show the frequency response of a system, providing both the magnitude and phase plots. Nyquist plots show the system's open-loop frequency response and are used to determine gain and phase margins, which are critical in assessing the stability of the system. Thus, Bode plots provide magnitude and phase information, and Nyquist plots help in analyzing stability margins.