Homework Answers
Add Answer to:
2. Consider the following system y 412/ where the input is f(t) 20sin (4t 5) (a)...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [18 07ž...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [18 07ž Mx + Kx = 083, + [18000 -72007x -7200 8000X, E]-[] The input to the system is F(t) = 6300 sin (30t). Use modal decomposition to find the system's frequency response. Note that the frequency response is the particular solution, and also called the steady-state response.
The Bode diagram below relates the input u(t) to the output y(t): Bode Diagram 20 2...
The Bode diagram below relates the input u(t) to the output y(t): Bode Diagram 20 2 -40 -60 o-45 2 -90 O-135 -180 10 10 10 Frequency (rad/s) Find the steady state response of the system y$s (t), results from the sinusoidal input as: u(t) -2 sin(3t) Find the steady state response of the system yss (t), results from the sinusoidal input as: u(t) - 5 sin(10t) a) b) c) Find the input u(t) that results into a sinusoidal steady...
(5) For the system described by the following difference equation y(n)= 0.9051y(n 1) 0.598y(n 2) -0.29y(n...
(5) For the system described by the following difference equation y(n)= 0.9051y(n 1) 0.598y(n 2) -0.29y(n 3) 0.1958y(n - 4) +0.207r(n)0.413r(n 2)+0.207a(n - 4) (a) Plot the magnitude and phase responses of the above system. What is the type of this filter? (b) (b) Find and plot the response of the system to the input signal given by /6)sin(w2n +T /4) u(n), where w 0.25m and ws 0.45m a(n) 4cos(win -T = (c) Determine the steady-state output and hence find...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n)...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
2. Consider the system: CD +2)y (t) 2x (t) a. b. c. d. Find the ZIR...
2. Consider the system: CD +2)y (t) 2x (t) a. b. c. d. Find the ZIR if y(0)-2. Find the magnitude of the frequency response. Find the phase of the frequency response. Find the steady-state solution to an input x(t)-10 cos(2t + 300)
1. Consider a continuous system whose input x(t) and output y(t) are related by dy(t) +...
1. Consider a continuous system whose input x(t) and output y(t) are related by dy(t) + ay(t) = x(t) dt where a is a constant. (a) Find y(t) with the condition y(0) = yo and x(t) = Ke-bu(t) (b) Express y(t) in terms of the zero-input and zero-state responses. 2. Consider the system in Problem 1. (a) Show that the system is not linear if y(0) = yo 70. (b) Show that the system is linear if y(0) = 0....
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2....
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2. 〈 = 0.8; ω,-4; Ks-2. Use transfer function sensitivity calculations in answering the questions below. a) With proportional controller gain K 10 and r(t) a step input, determine the percentage change in steady-state output y(t) if Ko increases 5% from its nominal value. (12 pts.) b) Repeat part (a) with Kc - 50. (6 pts.) c) With proportional controller gain Kc 10 and r(t)...
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measur...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
3. (10 points) Given the following the input function f(t). transfer function, find the steady-state response...
3. (10 points) Given the following the input function f(t). transfer function, find the steady-state response ?..(t) to function, ng Y (s) f(t) = 6 sin(9t)
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where...
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
Consider an undamped system where the vector-matrix form of the system model is: [F(t) [18 07ž Mx + Kx = 083, + [18000 -72007x -7200 8000X, E]-[] The input to the system is F(t) = 6300 sin (30t). Use modal decomposition to find the system's frequency response. Note that the frequency response is the particular solution, and also called the steady-state response.
The Bode diagram below relates the input u(t) to the output y(t): Bode Diagram 20 2 -40 -60 o-45 2 -90 O-135 -180 10 10 10 Frequency (rad/s) Find the steady state response of the system y$s (t), results from the sinusoidal input as: u(t) -2 sin(3t) Find the steady state response of the system yss (t), results from the sinusoidal input as: u(t) - 5 sin(10t) a) b) c) Find the input u(t) that results into a sinusoidal steady...
(5) For the system described by the following difference equation y(n)= 0.9051y(n 1) 0.598y(n 2) -0.29y(n 3) 0.1958y(n - 4) +0.207r(n)0.413r(n 2)+0.207a(n - 4) (a) Plot the magnitude and phase responses of the above system. What is the type of this filter? (b) (b) Find and plot the response of the system to the input signal given by /6)sin(w2n +T /4) u(n), where w 0.25m and ws 0.45m a(n) 4cos(win -T = (c) Determine the steady-state output and hence find...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
2. Consider the system: CD +2)y (t) 2x (t) a. b. c. d. Find the ZIR if y(0)-2. Find the magnitude of the frequency response. Find the phase of the frequency response. Find the steady-state solution to an input x(t)-10 cos(2t + 300)
1. Consider a continuous system whose input x(t) and output y(t) are related by dy(t) + ay(t) = x(t) dt where a is a constant. (a) Find y(t) with the condition y(0) = yo and x(t) = Ke-bu(t) (b) Express y(t) in terms of the zero-input and zero-state responses. 2. Consider the system in Problem 1. (a) Show that the system is not linear if y(0) = yo 70. (b) Show that the system is linear if y(0) = 0....
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2. 〈 = 0.8; ω,-4; Ks-2. Use transfer function sensitivity calculations in answering the questions below. a) With proportional controller gain K 10 and r(t) a step input, determine the percentage change in steady-state output y(t) if Ko increases 5% from its nominal value. (12 pts.) b) Repeat part (a) with Kc - 50. (6 pts.) c) With proportional controller gain Kc 10 and r(t)...
control system with observer
Consider the following system: -1-2-21 гг 1 0 1 L Where u is the system input and y is the measured output. 1. Find the transfer function of the system. 2. Design a state feedback controller with a full-state observer such that the step response of the closed loop system is second order dominant with an overshoot Mp settling time ts s 5 sec. Represent the observer-based control system in a compact state space form. 10%...
3. (10 points) Given the following the input function f(t). transfer function, find the steady-state response ?..(t) to function, ng Y (s) f(t) = 6 sin(9t)
Problem 3: Insights into Differential Equations a. Consider the differential equation 습 +4 = f(t), where f(t) = e-u, 12 0. Please write the forms of the natural and forced solution for this differential equation. You DO NOT need to solve. (7 points) b. Again consider the differential equation f(t), where f(t) is an input and y(t) is the output (response) of interest. Please write the differential equation in state-space form. (10 points) c. The classical method for solving differential...
Most questions answered within 3 hours.
-
how
does sperm use acrosomal enzymes and receptors to approach, bind
and enter the oocyte
asked 11 seconds from now -
Light of wavelength 425.1 nm falls on two slits spaced 0.31 mm
apart. What is the...
asked 30 seconds from now -
Our team is working to build the IT architecture plan for a
semi-custom designer jewelry company....
asked 3 minutes ago -
Question 2 Lean procurement may have a lot of advantages but it
could be difficult to...
asked 3 minutes ago -
Let's assume that measuring the concentration of a pollutant
in a body of water will result...
asked 6 minutes ago -
Bill’s Bakery has current earnings per share of $2.42.
Current book value is $4.20 per share....
asked 26 minutes ago -
The train I take into town charges less to people who ride
between 8:00 am and...
asked 19 minutes ago -
Pizza cost $5 per unit Coke cost $1 per unit You have $17 and
plan to...
asked 26 minutes ago -
D5NS with 40 mg gentamicin IV infuse at 30 mL/h over 30 min q8h.
A volume-control...
asked 27 minutes ago -
To get a declared dividend from a company, what is the last day
that the investor...
asked 28 minutes ago -
A sample of food (1.00 g) was mixed with appropriate amount of
water and titrated using...
asked 42 minutes ago -
Conformers:
list the following substituents in order from most equatorial
position preferring to least: (CH3)3, H,...
asked 43 minutes ago