sys = tf([0 4 0],[4 4 1])
subplot(2,1,1)
step(sys)
subplot(2,1,2)
impulse(sys)
2. Consider the parallel RLC circuit mentioned in class, with C = 1, L = 4, and R = 1 (a) Derive the iin-to v transfer...
QUESTION #2 PLEASE 1. Derive the transfer function for the circuit shown below. Plot H(s) versus frequency in Hertz, on a semilog scale. Ri 11.3 k Ri 22.6 k R R = 68.1 kN R3 C C 0.01 uF R2 Vout(s) Vin(s) C2 10 (s+5) H(s) = (s+100)(s5000) , (a) draw the magnitude Bode plot 2. For the transfer function and find the approximate maximum value of (H(jw) in dB, (b) find the value of w where 1 for w>5...
1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies Wej and Wc2, the bandwidth ß, and quality factor, Q. Compute values for R and L to yield a bandpass filter with a center frequency of 5kHz and a bandwidth of 200Hz, using a 10nF capacitor. (25 points) 1. Design a parallel RLC bandpass filter, derive the transfer function H(s). Compute the center frequency, Wo. Calculate the cutoff frequencies...
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the transfer functionH(s)0 in erms of R, Ri and C. (b) At what frequency will the magnitude of Hju) be maximum? Write down the maxi- mum value (c) At what frequency w will the magnitude of H(jw) equal its maximum value divided by V2 (the half power)? (d) Derive the expression for the phase e(ju) both...
only b and c please 1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
Prelab Consider the circuits (systems) in Figure 1 2000 1k2 Vo Vi 10pF 2H (b) 2002 Figure We want to understand what these systems do, and how they are expected to behave. Because they are "physical systems" they are causal. For each of the circuits: 1. Use the integration-in-time-domain properties of the Laplace transfom to derive the impedance of the capacitors and inductors. Since both capacitors and inductors are causal systems, what are the regions of convergence of their Laplace...
2. Consider the given C-R filter. a. (4) Determine the transfer function H(jo) in terms of R, C and o. b. (3) Express the transfer function in polar form i.e. find the magnitude and phase expressions. c. (3) Calculate the half-power or cut-off frequency of this filter in rad/s for R = 250 2 and C= 15 nF. d. (4) Plot the magnitude response H(jo) using linear scale. Label both axes. Label maxima, minima, and cut-off frequency points numerically on...
Question 4 3) "L12:) 330003-21 + jou X [-2 -1 ][x₂] li Derive the transfer function y(s) = Gis)u(s) 4) Using MATLAB, determine the step response of the system in problem 3. 4.2) Determine the step response of x'=Ax+ Bu 4.6) Determine the step respomise of y(s) = G(s)us). In both cases the step input amplitude is 6.
Consider the RLC circuit where R = 5, C = 1, L = 4 and V = 8. 1. Use circuit analysis laws to show that the resistor's voltage and induc- tor's voltage can be modelled as the system of ODEs し」L 2. Solve the eigenvalues and eigenvectors of the coefficient matrix in the system of ODEs. 3. Verify your answer for question (2) by using the eig function in MAT- LAB (make sure you comment on whether your solutions...
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right-half plane? b) Using MATLAB, compute the poles of T(s) and verify the result in part a) c) Plot the unit step response and discuss the results. (Report should include: Code, Figure 1.Unit step response, answers and conclusion) PROBLEM 1 Consider...
Question 1-4 is about the following mechanical system: Data: ki-20 [N/m] b-2 [Ns/m] k2# 10 [N/m] m2 At) mi Question 1 X1(s) Develop the symbolic transfer function G1(s)2 F(s) 1.1 Determine the differential equation, that this transfer function describe 1.2 Question 2 Sketch the step response for G1(s), using Matlab and explain the process 2.1 Sketch the pole /zero diagram for the transfer function G1(s) and reflect on the relation between the step response and the pole /zero diagram 2.2...