For the following system, apply Nyquist analysis method to answer each of the next questions: = (s + 1)(s + 3) X=8 G(s)
Posted: Fri May 20, 2022 7:10 pm
the last digits of ID is 83 . so X=8,Y=3
For the following system, apply Nyquist analysis method to answer each of the next questions: = (s + 1)(s + 3) X=8 G(s) = (s – X)(s – Y) Y=3 Where X Y are the last digits of your ID. If X or Y in your ID are 0, replace them with 1. Find: a. The starting point. b. The ending point. c. The intersection with the real axis. d. The intersection with the Im axis. e. Sketch the Nyquist Plot showing all parts above, and discuss the stability. f. Verify your plot using the Matlab code below: (here X=5, and Y=9 just for demonstration S tf('s') G5 = ((s+1) * (5+3)) / ((s-5) * (s-9)) nyquist (G5, 'red') Nyquist Diagram 03 0.6 0.4 0.2 Imaginary Audis -0.2 -0,4 -0.6 08 -1 -0.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 0.0 1 0 Real Axis
For the following system, apply Nyquist analysis method to answer each of the next questions: = (s + 1)(s + 3) X=8 G(s) = (s – X)(s – Y) Y=3 Where X Y are the last digits of your ID. If X or Y in your ID are 0, replace them with 1. Find: a. The starting point. b. The ending point. c. The intersection with the real axis. d. The intersection with the Im axis. e. Sketch the Nyquist Plot showing all parts above, and discuss the stability. f. Verify your plot using the Matlab code below: (here X=5, and Y=9 just for demonstration S tf('s') G5 = ((s+1) * (5+3)) / ((s-5) * (s-9)) nyquist (G5, 'red') Nyquist Diagram 03 0.6 0.4 0.2 Imaginary Audis -0.2 -0,4 -0.6 08 -1 -0.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 0.0 1 0 Real Axis