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
- 2. Consider the closed-loop system shown below. Determine the range of K for stability. Assume that K > 0. R(s) K S-2 (s + 1)(s² + 6s+25) C(s)The differential equation of a DC motor can be described by the following equation Find the transfer function between the applied voltage ( Va)and the motor speed (thetadot m). What is the steady state speed of the motor after a voltage (Va = 10V) has been applied. Find the transfer function between the applied voltage (Va) and the shaft angle (thetadot m) .Draw the signal flow graph of the following block diagram, then find the transfer function using Mason's rule R a G₁ H₁ H₂ G₂ +

