Question 4 a) A simplified form of the open loop transfer function of a chemical process...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is G(s) s(s+3)(s2 + 25 + 2) where (s) = 1. i Construct the root locus. (5 marks) . From the root locus in (a), show the range of gain at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method and explain...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(S) = S(S + 3)(S2 + 25 + 2) where H(S) = 1. i. ii. Construct the root locus. (5 marks) From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from...
Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(s) = s(s + 3)(s2 + 2s + 2) where H(s) = 1. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) i. b) State two important parameters that you got from...
a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 G(s) s(s + 3)(s2 + 2s + 2) where H(s) = 1. i. ii. Construct the root locus. (5 marks) From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method...
G(s) Question 4 a) A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is 1 s(s+3)(s2 + 2s + 2) where H(s) = 1. i. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain K at the root loci so that the system will stable. Discuss your answer. (2 marks) b) State two important parameters that you got from Bode plot method...
A simplified form of the open loop transfer function of a chemical process as shown in Figure 4 is ?(?) = 1/ ?(? + 3)(?2 + 2? + 2) where ?(?) = 1. i. Construct the root locus. (5 marks) ii. From the root locus in (a), show the range of gain ? at the root loci so that the system will stable. Discuss your answer.
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K s(s +3Xs? +2s +2) Draw manually the root locus plot for the system and determine: a) The number of branches. b) The starting and ending points of all the branches. c) The location of the centroid d) The range of K to keep this and angles of asymplotes. e) The intersections of the root loci with the imaginary axis and the corresponding value of...
Consider the system with open-loop transfer function s+2 G(s) = k 82 4 Show the type of poles that the close-loop system has (real, imaginary, or repeated) for the different values ofk in [0 +00). Sketch the root locus of the close-loop system's poles when the gain k takes values in [0 +oo). Show clearly the break points of the loci, and calculate analytically the values that the branches of the loci are converging when k o
Control System 3) Consider the simplified form of the transfer function for position servomechanism used in an antenna tracking system as shown in Figure Q3. By using root locus technique: Error Els) C(s) R(s)+ s2 +4S +5 2.56S +12.8 Figure Q3 (a) Sketch its root locus (11 marks) (b) Find the value of K so that the damping ratio 0.342, and give all closed loop poles for the value of K. (9 marks) 3) Consider the simplified form of the...