6. Find the time-domain response, a(t), for the system G(s) = 80 inputs: # and the...
Consider following block diagram, R(s) G(s) c(s) 5 a) Find time-domain unit-step response c(t) of the system when G(s)=– , and then specify forced S +4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s) == and then (s + 2)(s +5) specify forced and natural parts of the response.
Consider following block diagram, R(s) G(s) C(s) 5 a) Find time-domain unit-step response ct) of the system when G(s)= and then specify forced $+4 and natural parts of the response. 10 b) Find time-domain unit-step response c(t) of the system when G(s)= and then (s+2)(s+5) specify forced and natural parts of the response.
12. Consider the standard second-order system with input as shown. t u(t 2 1n. G(s) Time (sec) a) Write the Laplace transform of the input signal. b) What is the transform of the output c Find the output of the system in time domain.
2.52 with cosine replaced with sine.
2.52. The step response s(t) of a continuous-time LTI system is given by s(t) = cos wat ju(t) Find the impulse response h(1) of the system. Ans. h(i)= 8(t) – woſsin wot]u(t)
eatu(t), (a >0), is 6(t). Find the response 5. The response of an LTI system to e of the system to r(t)= eat cos (Bt)u (t). You have to express the response in terms of 5(t), u (t), sine function, and exponential function. (20 pts) -ly(t)), where * denotes convolution operator. (3) ()[() ]- dt d d Hint: dt
eatu(t), (a >0), is 6(t). Find the response 5. The response of an LTI system to e of the system to...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
3. Find an expression for the step response in the time domain
for a system H(s) with Bode diagram shown below. Show all
working.
Bode Diagram -10 20 -30 -40 -50 90 45 10 10 Frequency (rad/s) 102 10 Magnitude (dB) (Bap) aseud
Bode Diagram -10 20 -30 -40 -50 90 45 10 10 Frequency (rad/s) 102 10 Magnitude (dB) (Bap) aseud
Problem 6 (10) Determine the overall transfer system function for the following cascaded systems. The inputs and outputs for each sub-system are provided. Also provide the time-domain expression for the final transfer funcion A. A. X(C X(t-2) X(t-3) X(t) System 12System2 B. etu(t) System 1 Output u(t) System 20
A system with input r(t) and output y(t) has transfer function G(s) = 10 (s + 1)(s + 2). Find y(t) for t ≥ 0 if the following inputs are applied (with zero initial conditions): (a) r(t) = u(t) (b) r(t) = e^ −t*u(t)
Q1) Consider an LTI system with frequency response (u) given by (a) Find the impulse response h(0) for this system. [Hint: In case of polynomial over pohnomial frequency domain representation, we analyce the denominator and use partial fraction expansion to write H() in the form Then we notice that each of these fraction terms is the Fourier of an exponentiol multiplied by a unit step as per the Table J (b) What is the output y(t) from the system if...