4. Consider the transfer function, Y($) F(S) 3 S(52 +2s + 4) (a) Qualitatively, what is...
4. Consider the transfer function, Y(s)_ 3 F(s) + s(s2 + 2s + 4) (a) Qualitatively, what is the time response y(t) if f(t) represents a unit-step input? What is the value of y(t) when time is sufficiently large? What is the time constant that we may use to evaluate the "speed" of response? (b) Repeat step (a) if f(t) represents an impulse input. What is y(t) when time is sufficiently large?
Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for a step input of amplitude 4 for t=[0:0.01:21 b) Verify that the plot is correct using the initial and final value theorems. o) Repeat steps q.and b for G, (s)0S(S + 4). Remember, in input is a step of c) Repeat steps a and b for G2 (S) S+2 amplitude 4.
g / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the input U(s) 2/s, sketch the response y(t) (you do not need to solve the differential equation). Show as much detail as possible, including the steady-state value of y(t), and whether there is oscillation. (b) What is the decay ratio? 425 Can a tank with the outflow rate fixed by a constant speedl pump reach a steady state if...
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14). Determine y(t) when r(t) is a unit step input. b. Consider the following system: R(s)_ 0 G(s) i. Find the closed-loop transfer function Y(s)R(S) when G(s) = 10/(S2+2s+10) ii. Determine Y(s) when the input R(s) is a unit step. iii. Compute y(t).
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate transfer function of first-order-plus-time-delay form that describes this process (b) Determine and plot the response y(t) of the approximate model, obtained in part (a), for a unit ramp using Skogestad's "Half Rule"; change in u(t) (U(s) Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) U(s) (10s+1)(4s+ 1)(s +1) (a) Find an approximate...
Consider the following transfer function: [mark 25%] 4. Y(s) U(s) 5s1 2 G(s) (3) a. If U(s) b. If U (s) (1 - e-)/s, what is the output whent » co? If u(t) 6(t) that is, the unit impulse at t 0, what is the output when t > co? d. Ifu(t) sin(4t), what is y(t) when t co? 3/s, what is the value of the output when t 10? C. Consider the following transfer function: [mark 25%] 4. Y(s)...
4 + 3 + 2 = 9 marks) Consider a system with transfer function G(s) 6 - 10s $2 + 4s + 6 (a) Find an expression for the step response y(t), t > 0. (b) Does y(t) approach a limit as t+0? If so, evaluate this limit. (C) Will the step response exhibit undershoot? Justify your answer briefly.
Consider the function: 10x2 + 2x + 2.5 = f(s) Obtain: 1.) the transfer function X(s)/F(s) treating f(t) as a unit step function 2.) the transfer function X(s)/F(s) treating f(t) as a unit impulse function Plot both responses using Matlab and explain the differences
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system 2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system