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7.22 A simple 1-DOF mechanical system has the following transfer function Y(s) 0.25 U(s) s +2s...
G / 4.18/A process has the transfer function Y(s) U(s) G(s) = 2s + 1 (a) For a step change in the...
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...
Problem 3. (40 points) For the process described by the transfer function 10(1-2s)e2s Y(s) 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 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...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s)...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for...
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.
a system is given by the following transfer function Y(s)/u(s) = 1/(s^2-16) a)find the output in...
a system is given by the following transfer function Y(s)/u(s) = 1/(s^2-16) a)find the output in time domain Y(t) if the input u(t) is a unit step. (Hint the transfer function of the unit step function is 1/s) b)what is Y(t) as t goes to infinity
The transfer function of a linear system is G(s) = Y(s) S-1 U(s) 5? + 4s...
The transfer function of a linear system is G(s) = Y(s) S-1 U(s) 5? + 4s +3 a. Express this system in the modal form. b. Express this system in the standard controllable form (SCF). (Parts d, e, f, and g use this system) c. In the standard controllable form, suppose the output is replaced by y=[-1 a] | [x2] Give a value for a which makes the system unobservable. d. What is y(t) if y(0-)=-3, ay = 6 and...
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14)....
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).
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
.matlab Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its resp...
.matlab
Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its response. Student Instructions: The following spring-mass-damper system has no external forcing, that is u(0)-0. At time t- 0 it has an initial condition for the spring, which it is distended by one unit: y(0)-1. The system will respond to this initial condition (zero-input-response) until it reaches equilibrium. 0)1initial condition...
A system with input r(t) and output y(t) has transfer function G(s) = 10 (s +...
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)
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...
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...
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
1) Write a Matlab program for the following block diagram: a) to derive its closed-loop transfer function. b) to find and plot the poles-zeros of closed-loop transfer function. s+2s+3 R(s) → Y(s) 2s+3 2 +2s +5 15 Automatic Control Systen
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.
The transfer function of a linear system is G(s) = Y(s) S-1 U(s) 5? + 4s +3 a. Express this system in the modal form. b. Express this system in the standard controllable form (SCF). (Parts d, e, f, and g use this system) c. In the standard controllable form, suppose the output is replaced by y=[-1 a] | [x2] Give a value for a which makes the system unobservable. d. What is y(t) if y(0-)=-3, ay = 6 and...
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).
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
.matlab
Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its response. Student Instructions: The following spring-mass-damper system has no external forcing, that is u(0)-0. At time t- 0 it has an initial condition for the spring, which it is distended by one unit: y(0)-1. The system will respond to this initial condition (zero-input-response) until it reaches equilibrium. 0)1initial condition...
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