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+2s+6) Figure s+1
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- Please solve the following by hand and without the use of AI. I am working to understand the step by step procedure of solving this problem so pleaase give a detailed step by step procedure, explaining each part as you go. Thank you!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 resultFigure 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!I’m am struggling with this questionb) G₂ (s) = K(s+1)(s+3) (s²-2s+4) In Problem 1(b), find the range/value of K, such that the system has a) poles on the jw-axis; b) poles in the right half-plane; c) poles not on the real-axis.
- 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 102answer completely and neatlyDetermine the transfer function C/R for the block diagram below by signal flow graph technique. R + G₁ a G₁ G₂ H₁ H₂ G₂