Prob 4: For the following system, use MATLAB to generate the closed-loop transfer function, using the...
Use rlocus in MATLAB to plot the root locus for a closed loop control system with the plant transfer function 8. z 2 2)2-0.1z +0.06 For what value of k is the closed loop system stable? 9. The characteristic equation for a control system is given as z2(0.2 +k)z 6k +2-0 Use Routh-Hurwitz criterion to find when the system is stable. 10. Use MATLAB to plot the root locus for the system given in Problem 9. Compare your conclusion in...
Please solve it with step by step MATLAB code, thank you! 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 03K35 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...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
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...
4) A unity feedback control system shown in Figure 2 has the following controller and process with the transfer functions: m(60100c Prs(s +10(s+7.5) a) Obtain the open- and closed-loop transfer functions of the system. b) Obtain the stability conditions using the Routh-Hurwitz criterion. e) Setting by trial-and-error some values for Kp, Ki, and Ko, obtain the time response for minimum overshoot and minimum settling time by Matlab/Simulink. Y(s) R(s) E(s) Fig. 2: Unity feedback control system 4) A unity feedback...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller Sketch (by hand) and fully label a Nyquist plot with K-1 for each of the plants listed below.Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s)-2 (b) P(s)-1s3 (c) P(s) -4-8 s+2 (s-2) (s+10) 1. Consider the usual unity-feedback closed-loop control system with a...
Problem #4: Applying Routh's Criterion, use the following transfer function to compute the closed-loop system from applying a unity feedback. K(s +4) Gis)- NS D(s) (s+0.4s+4)(s+1)s + 0.5)] a) Find the range of K that makes the system stable? Show your work. You are free to use MATLAB to help with the computation to get to your end results.
1. Use the Routh-Hurwitz test to determine if the system described by the following transfer function is stable. If the system is unstable, how many poles are outside the LHP? Use Matlab to check your answers. C() 10-8) R(s) s2 +7s +28 2. Repeat problem 1) above for the system with transfer function C (s) R(5s +Bs+ 40 s2 +2s+4 3. Use the Routh-Hurwitz test to determine if the system described by the following characteristic equation is stable. If the...