Final answer:
The main differences between Root-Locus, Bode diagram, and Nyquist diagram lie in their graphical representations and the information they provide. Root-Locus focuses on the variation of poles as a parameter changes, Bode diagram represents the frequency response of a system in terms of gain and phase, and Nyquist diagram shows the stability and robustness of a system by plotting transfer function values in a complex plane.
Step-by-step explanation:
Root-Locus
The root-locus diagram is a graphical representation of how the poles of a system change as a parameter, typically the gain of a control system, is varied. It helps analyze the stability and performance characteristics of a system. In the root-locus diagram, the root locus starts from open-loop poles and ends at open-loop zeros. It provides insights into the system's stability, transient response, and gain margin.
Bode Diagram
The Bode diagram is a frequency response plot that represents the gain and phase shift of a system as a function of frequency. It is useful in analyzing the system's frequency response, stability, and overall performance. The Bode diagram consists of two plots, the magnitude plot, which shows the gain in decibels (dB), and the phase plot, which shows the phase shift in degrees. The Bode diagram provides valuable information about the system's bandwidth, gain margin, and phase margin.
Nyquist Diagram
The Nyquist diagram is a polar plot that represents the frequency response of a system by plotting the complex values of the transfer function on a complex plane. It provides a visual representation of the system's stability and the system's gain and phase margin. The Nyquist diagram consists of a plot of the real part of the transfer function against the imaginary part, usually represented as a frequency sweep. It helps analyze the stability and robustness of a system by examining the system's poles and zeros.