6. ( ) The Direct form 2 realization of a filter is shown on the right....
Please solve this question. Thank you. 7) Implement the following filter using direct form 2 realization. (6 Marks) 1 2z-1z-2 H(z0 1 0.1z-1 .07z-2-0.065z-3 7) Implement the following filter using direct form 2 realization. (6 Marks) 1 2z-1z-2 H(z0 1 0.1z-1 .07z-2-0.065z-3
Problem 2 (25 Pts,) Root locus: A proportional only action is controlling a plant with unity feedback. The plant transfer function is: 6 G)+ G+2)(6 +3) a. Draw the poles of G (s) in below figure b. How many asymptotes does the root locus plot of the above transfer function has? c. What angles do the asymptotes make with the positive real axis in the s plane? d. At what point do the asymptotes intersect on the real axis? e....
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...
Problem 5. (20 points) For the system shown, find the value of K and o so that two of the closed-loop Y(s) -) X(s) poles (i.e., the poles of are at s = ±jo, (i.e., they lie on the ja-axis). Gs) Y(s) ss +1
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32 1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
Automatic Control In unity feedback system with Gs) (s-IXs-2) With out controller, is this system stable, and why? For Gc K (proportional control) sketch the root locus. Find the range of K to make the system stable. Determine the range of K, so that the system has no overshoot Determine the range of K for steady state error to unit step input less than 20% a) b) c) d) e) In unity feedback system with Gs) (s-IXs-2) With out controller,...
[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)...
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...
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...
3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For C(s) K, sketch the root locus (b) Based on your root locus in (a), can you find a value of gain K, such that the closed- loop system will have a settling time of 1 second under a step input? Justify your answer. 3) (10 pts) Consider the unity feedback system as shown in Figure 1, where s(s+1)(s+5s+6) (a) For C(s) K, sketch...