2. Por the system shown below with G- K(s + 2)(s + 20), G,-1/(s (s-4), and...
Q.2 (10 marks) Consider the system shown in Fig.2 with K(5-3) H(s) = (s – 4) (s+1)(s+2) (a) Sketch the root locus of the closed-loop system as the gain K varies from zero to infinity. (b) Based on the root locus, determine the range of K such that the system is stable and under-damped. (c) Determine the K value such that the closed-loop system is over-damped and stable. (d) Use MATLAB draw the root locus and confirm the root locus...
(20) 2. Sketch the root-locus plot of a system shown in Fig. 2. Determine the origin and angles of asymptotes of the root loci. Find the points where root loci cross the imaginary axis and the value of K at the crossing points. G(S) = H(s)=1 s(s+1) (s?+ 4s +5) K R15 663 > 6) Fig. 2
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
Q.2 (10 marks) Consider the system shown in Fig.2 with K (s+3) 6(s) =56+2) H(s) = (s + 4) (a) Sketch the root locus of the system as the velocity gain k varies from zero to infinity. (b). Use root locus, determine the range of K such that the closed-loop system is under-damped (c). Use MATLAB draw the root locus and confirm the root locus found in (a). (Attach the MATLAB plot.) R(s) C(s) Figure 2
please answer all parts and show the related work. thank you! especially the matlab parts! 1. The open loop system G()l be placed into a unity feedback system s2(s+1) as shown below. a. Sketch the Root Locus of G(s) by hand and compare your results with Matlab. Include your sketch and the Matlab plot. b. This system is unstable for all positive values of K. Explain why. c. Show with a hand sketch and Matlab plot of the root locus...
1. A system with unity feedback is shown below. The feed-forward transfer function is G(s). Sketch the root locus for the variations in the values of pi. R(9)+ 66) 69? Fig. 1: Unity-feedback closed-loop system G(s)= 100 s(s+ p) 2. The following closed-loop systems in Fig. 2 and Fig. 3 are operating with a damping ratio of 0.866 (S =0.866). The system in Fig. 2 doesn't have a PI controller, while the one in Fig. 3 does. Gain Plant R(S)...
4. (20%) For the unity-feedback system whose feedforward transfer function is K(sub) i K>0, b>a > 3 (s + a)(s* +45 + 5) (a) (10%) Sketch the root-locus plot. (b) (5%) Determine center and angle of asymptotes. (c) (5%) If a > 0 and b>0, what is the constraint on values of a and b to guarantee that the closed-loop system is stable?
3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot and determine the K value such that the damping ratio of a pair of dominant complex-conjugate closed-loop poles is 0.5. Ri)1 C(s) 3. Consider the system shown below. For this system. G(s) s(s+1)(s 2) H(s)1 We assume that the value of the gain K is nonnegative. Sketch the root locus plot...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain K as a variable s(s+4) (s2+4s+20)' Determine asymptotes, centroid,, breakaway point, angle of departure, and the gain at which root locus crosses jw -axis. [7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain...
R(S) + G(s) 2. For the system of Fig.2., assume: K s(s + 5)(s + 8) (a) Calculate the following points by hand: - jw axis crossings and the corresponding gain. - Real axis breakaway point. Real axis intercept for the asymptotes. - The angle of the asymptotes. (b) Draw a rough sketch of the root locus using the above points by hand.