For G(s) = 0.34/(S+S +0.25+1) a. (7.5 Marks): Find G(s) (Gamma). b. (7.5 Marks): What are...
QUESTION 2: Again, for the feedback control system from Question 1, Let G(S) 3 +27 s2 +218 s+504 s2 +6s+34 Part a) What are the poles and zeroes of G(s)? Part b) Plot the root-locus using RLOCUS.M - Refer to the MATLAB notes in the back of this handout. - Be sure to indicate the direction of "increasing K" on each branch Part c) Comment on this root-locus plot How it pertains to poles and zeros of G(s), etc. Are...
Puge 328 polf prt 33 Question 3 [20 Marks (a) K(s+4) $(s+1)(s+2) 5 KCGTA) Given the unity-feedback system of Figure 3.1 with G(s) = do the following: T9= Construct the Routh-Hurwitz table [2 Marks] Find the range of K that keeps the system stable i. (2 Marks] Find the Value of K that makes the system oscillate [2 Marks iv. find the frequency of oscillation when K is set to the value akes the (4 Marks system oscillate R(S) E(s)...
question b
a) Find the inverse Laplace Transform of: 145+23 F(s) 52 +55+4 (7 marks) b) Determine ift) in the circuit shown in Figure Q2(b). 2H 202 i(t 102 1) cut) IF Figure Q2(b) c) Determine the mesh currents, I, and 12 in Figure Q2(c) in the s-domain (8 marks) 102 IH 10 st V 0.25 H 13 ΤΩ Figure (20)
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Suppose that X ~ Gamma(a, b) and Y ~ Chisquare(k) and X and Y are independent. Îet w = X+Y (a) Find the MGF of W. / (b) For what value(s) of b would W be a Gamma Random Variable? What would its parameters be? (c) For what value(s) of b and a would W be a ChiSquare Random Variable? What would its parameter be? (d) For what value(a) of b, a, and k would...
10 Q.1 Figure Q1 shows a speed control system where Gi(s) 0.5s 1' and K(s)kp K(s) G,(s) Figure Q1: Speed Control System a) Determine the transfer function from d to y (4 marks) (b) Assuming the reference is zero, what is the steady-state error (e-r - y), in this case, you want yss since r 0) due to an unit step disturbance in d? What must the value of k be in order to make the steady-state error less than...
1. Given the open-loop transfer function G(s)h(s) find the asymptotes, (b) find the breakaway points, if any, (c) find the range of K for stability and also the ju-axis crossing points, and (d) sketch the root locus. (20 points) K/Ks+1)(s+2)(s+3)(s+4)) where 0 s K < 00, (a) K/[s(s+3)(s2+2s+2)] where o s K < o, (a) locate the For the open-loop transfer function G(s)H(s) asymptotes, (b) find the breakaway points, if any, (c) find the jw-axis crossing points and the gain...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
R(S) C(s) G(s) Figure P3 G(S) K(s2 – 2s + 2) s(s + 1)(8 +2) Problem 4) (25 points) Consider the same unity feedback control system given in Figure P3 and do the following: a. Determine the system type (type 0, type 1, type 2, etc.) and justify it. (05 points) b. Suppose that 10% maximum overshoot is required as a transient response specification. Find the steady-state error for this P-controlled system, where K = 0.24 for a unit step...
39. Given: E +0.46 V Eo- +0.34 V Cu(s) + 2 Ag+ → 2 Ag (s) + Cu2. Cu2+ + H2 (g) → Cu (s) + 2 H' Find the standard potential for the cell reaction for 2 Ag + H2 (g)-2 Ag+2H +0.80 V b. a. +0.40 V +0.12 V d. c. -0.12 v none of these e. 40. Given: Fe (s) + 2 Ag' (aq) Fe (ag)+ 2 Ag (s) with E ell -1.24 V What is the...
2. Given the unity feedback system with K(s +4) G(s) find the following: a) The range of K that keeps the system stable. 120] b) The value of K that makes the system oscillate. 17 c) The frequency of oscillation when K is set to the value that would make the system oscillate. 18I C(s) R(s) E()