Home /
Expert Answers /
Electrical Engineering /
control-systems-problem-1-given-the-unity-feedback-system-in-the-figure-below-where-mathrm-g-pa223
(Solved): control systems Problem 1: Given the unity feedback system in the figure below, where \[ \mathrm{G}( ...
control systems
Problem 1: Given the unity feedback system in the figure below, where \[ \mathrm{G}(\mathrm{s})=\frac{1}{\left(\mathrm{~s}^{2}+3 \mathrm{~s}+3\right)(\mathrm{s}+4)} \] a) Determine the stability of the system using Nyquist Criterion. b) Let \( \mathrm{G}(\mathrm{s})=\frac{\mathrm{K}}{\left(s^{2}+3 \mathrm{~s}+3\right)(\mathrm{s}+4)} \). How many times the gain \( K \) could be increased before the frequency response touches the negative real axis at \( -1 \) ? c) Let \( G(s)=\frac{7}{\left(s^{2}+3 s+3\right)(s+4)} \). Find the gain margin of the unity feedback system.
Expert Answer
The given transfer function is: Simplifying the above transfer function, Please note that: at s = 0, G(0) = 1/12, G() = 0 Similarly, at s = 0, phase = 0, at s = , phase = -2700 An approximate nyquist plot is shown below. (a) To find the stability of