The forward-path transfer functions of unity-feedback control systems are given in the following equations. Plot the Bode diagram of G(ja)/K, and do the following: (1) Find the value of K so that the...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system....
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
actions in the forward path of a unity-feedback closed-loop system (CLS) are given E(s) = K + 25 , G(s)-8 (a) Plot the root locus of the CLS for K20. (b) Determine K so that the CLS has a pair of complex poles with ( = 0.6 ) Find the unit sterp sponse of the CL.S with K as abhowe actions in the forward path of a unity-feedback closed-loop system (CLS) are given E(s) = K + 25 , G(s)-8...
b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v) b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
5.3. Given transfer functions of the forward path and the feedback of a control system: 500(s2 +20s+200(s+2) Gm(s)=(s +0.1)(s2 + 160s +1000) Fg (s) ss +500) a) Obtain magnitude and phase of the Bode plot of this system b) Obta in closed-loop system frequency response at ω-3 rad/sec. n the feedhack of a control system:
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: K G(s) = s(s? +48 + 8) If the value of K is set 8, where are the closed loop poles located? Hint: Non-dominant pole is an integer. (5 Points) b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3 Points)...
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s + 10) is operating with 12% overshoot ({=0.56). (a) the root locus plot is below, find the settling time (b) find ko (c) using frequency response techniques, design a lead compensator that will yield a twofold improvement in K, and a twofold reduction in settling time while keeping the overshoot at 12%; the Bode plot is below using the margin command and using the...
Problem 2: (20 points) Consider a unity feedback system with the following forward path transfer function G(s) = - cla_K(s + a)(8+3) s(s2 +1) (1) Construct the root locus for K >0 and a = 5; (2) Construct the root locus for a > 0 and K = 10.