Problem 1. Electrical Signal Filters Find the transfer function, G(s) = V., for each of the following systems. For full credit, use either impedance methods or the differential equation method. I would recommend doing both to prepare for the exam. a) Low-pass filter W R V(O) с V.O b) High-pass filter H! VO) V.) c) Band-pass filter HI R VO) C C2 = R2 V. ()
(i) Find the transfer function G(s) = Vo(s)/Vi(s) of this system using electrical impedances. Express the transfer function as a ratio of two s polynomials. (ii) Plot the output voltage v, as a function of time by means of the transfer function determined at (i) for an input voltage vi= 120e0.18 Volt, R2 = 110 9, R2 = 900, R3 = 100 0, L = 3H and C= 80-106 F. Use MATLAB's step command to plot volt). Also use Simulink...
C(8) for the system shown in Figure 1. R(S Find the equivalent transfer function, Geg (s) 1 Cix) Figure 1. Block diagram 2s+1 s(5s+6Ge(s) = and Figure 2 shows a closed-loop transfer function, where G(s) 2. proper H(s) K+s. Find the overall closed-loop transfer function and express is as rational function. C(s) Ea (s) Controller R(s) +/ Plant G(s) Ge (s) Feedback H(s) Figure 2. Closed loop transfer function Construct the actuation Error Transfer Function associated with the system shown...
Find the transfer function for the frequency domain following op amp rules ww Ghigh 27 A,C R2 C2 'Ciow 27 R2C2 ео owwH (c) е,
Problem 1: Consider the following block diagrams: a. Find the system transfer function C(s)/R(S). Simplify as much as possible and express the result as a ratio of two polynomials.
Find the transfer function for the system represented below. VR, () R2 R vi(t) (+ Oooo 110) 1200) Assuming R1=R2=100 12. VR2(S) Vi(s) Ls 1+ 2Ls VR2(S) Vis) 2 + Ls 1+ 2Ls VR2(S) Vi(5) Ls 10000 + 2Ls VR2(3) 100+ Ls Vi(S) 100 + 2Ls Ls VR2(s) Vis) 100 + 2Ls
Problem 1a (6 points): Find the differential equation associated with the transfer function: C(S) = R(S) 53 +52 + 1 e-ST
Find the transfer function Y(s)/R(s) in the given SFG. Use fx to input your answer. H2 Н. L L2 G2 G3 G4 R(S) Gs GS G6 G7 Y(S) L3 L4 Ho H7 Using SFG, find the transfer function C(s)/R(s). Use fx to input your answer here. R(S) C(s) X x G1 H1 H2 Find the transfer function C/R for the given SFG. Use fx to input your answer. G1 X1 G2 X2 R С -H Reduce into a single transfer...
Consider the block diagram of the following control system. Find the transfer function G(s) = Y(S)/R(s) by using the block diagram reduction R(5) Y(s) + 5+2 s
Consider the unity feedback system is given below R(S) C(s) G(s) with transfer function: G() = K(+2) s(s+ 1/s + 3)(+5) a) Sketch the root locus. Clearly indicate any asymptotes. b) Find the value of the gain K, that will make the system marginally stable. c) Find the value of the gain K, for which the closed-loop transfer function will have a pole on the real axis at (-0.5).