Consider the system shown in Figure Plot the root loci with MATLAB. Locate the closed-loop poles when the gain K is set equal to 2. K(s+1) s(s²+25+6) Figure Repeat with Nyquist chart on Matlab to verify your result
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- Figure 1 shows an electrical system comprising a series RLC circuit and input voltagesource ein(t).(a) Derive the input-output equation with output y = I and input u = ein(t). (b) Using the derived input-output equation, drive the system transfer function G(s)that relates output to input. Use the following numerical values for the electrical systemparameters: resistance R = 2Ω, inductance L = 0.25H, and capacitance C = 0.4F. (c) Using the derived transfer function, derive the time-domain ordinary differentialequation for the input-output equation of this electrical system. (d) Draw the complete block diagram of this series RLC circuit using the derived transferfunction.Solve the following problem by hand and without the use of AI. Thank You!For the following open loop transfer functions, identify the correct Bode plot from the Bode plots given below: Bode Plots: Magnitude (dB) Phase (deg) O 50 -100 -50 -150 -90 0 -135 -180 Magnitude (dB) a 225 Phase (deg) -270 -20 10:2 -40 -60 -80 -100 0 -90 -180 G(s) = -270 Transfer function: a. 1 10-1 101 O b. 2 O c. 3 O d. 4 S Bode Diagram 10° Frequency (rad/s) Bode Diagram (₁² +s+2)(x² +58 + Frequency (rad/s) s+16) 101 10¹ 10² % 2) Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) 50 -50 -100 -45 -90 -135 -180 10/2 -60 -80 -100 -120 90 0 -90 -180 -270 10:2 10¹ 10" Bode Diagram 10° Frequency (rad/s) Bode Diagram 10° Frequency (rad/s) 10¹ 101 10² 102
- For the following open loop transfer functions, identify the correct Bode plot from the Bode plots given below: Bode Plots: 1) 3) Magnitude (dB) (Bap) eseyd 50 0 -100 -50 -150 -90 -135 -180 Magnitude (dB) -225 Phase (deg) -270 1012 -20 -40 -60 -80 -100 0 -90 -180 -270 G(s) = 10-1 Transfer function: 10 O a. 1 O b. 2 O c. 3 O d. 4 16 Bode Diagram TOP Frequency (rad/s) Bode Diagram (s+4)(s² +1.65+4) 101 Frequency (rad/s) 10 Њ 10² 10² N + Magnitude (dB) Phase (deg) Magnitude (dB) Phase (deg) 50 -50 -100 -45 -90 -135 -180 10:12 -20 -40 -60 -80 -100 -120 90 0 -90 -180 -270 1012 10 10 Bode Diagram 10² Frequency (rad/s) Bode Diagram 10² Frequency (rad/s) 10 10¹ 10² 10²Determine the transfer function C/R for the block diagram below by signal flow graph technique. R + G₁ a G₁ G₂ H₁ H₂ G₂5s + R(s) Y(s) 1 Σ 1/s s(s +3) s-1 Figure (2a) (b) Consider the above bock-diagram of figure (2a). You are now required to derive the transfer function, Y(s)/R(s), by using the signal flow graph method. Label in your working, the paths and loops associated with the block-diagram. .