Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no?...
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right-half plane? b) Using MATLAB, compute the poles of T(s) and verify the result in part a) c) Plot the unit step response and discuss the results. (Report should include: Code, Figure 1.Unit step response, answers and conclusion) PROBLEM 1 Consider...
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
Given h(t)=(e-t+e-3t)u(t) find: A) The transfer function H(s). B) The locations of all poles and zeros. C) Determine if the system is stable or not D) Find the differential equation for this system.
105- Problem #4 - Given the transfer function T(s)- ***(1+%o1+%0011+%00) A) Find the Poles and Zeros. B) Sketch the Bode plots for the magnitude and phase of the function. C) From the plot estimate the gain and phase at 1000 rad/s and compare to actual calculated values.
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Problem 4: Given L(s) = K(8 + 1) s(s+3) (a) Use method 2 to sketch the Nyquist plot of L(s). Do not include the pole at s = 0 in the RHP contour (i.e. assume P = O unstable open-loop poles). Note: The Bode phase function is not monotonic, but you may still use method 2. (b) Using the Nyquist stability criterion, determine the range of positive K values that will result in closed-loop stability. (c) Repeat (a) and (b),...
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)
PROBLEM 2 Suppose that a system is shown in Figure 2. Based on for loop, write a piece of MATLAB code to calculate the closed loop poles for 0sKs5 and plot the outputs where the poles are represented by "W" letter. Find the interval of K parameter for stability using Routh-Hurwitz method. Calculate the poles of the closed loop transfer function where K attains the minimum value such that the system is stable. R(s) 52(K - 3)s + K Figure...
Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3 s+7) the complex poles. G(s) (s +3) i) Determine the joo -axis crossing, breakaway point and the angle of departure from (i) Determine the value of the gain for which the closed loop system will have a pole at (-10) Problem (4): Sketch the root locus plot for a system, whose transfer function are given by 10 K (s2 +3...
1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω= 105 rad/s is equal 100. Find the transfer function T(s) and sketch Bode plots for the magnitude and phase, ˇ 1. (20 points). A transfer function has the following zeros and poles: zero at s=-105 and s= poles at s-100 and s--1000. The magnitude of the transfer function at ω=...