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2. When a unit step is applied to a system at 0 its response is y(1)...
When a unit step is applied to a system at t= 0, its response is y(t)...
When a unit step is applied to a system at t= 0, its response is y(t) = [7 +0.8e-3t-e-2t|3cos(46) + 4.5 sin(44)] (1). Is the transfer function of the given system H(s) = 7 + 1.60s 2(3+3) 2s(s+2) 52 + 4s + 20 9s S2 + 4s + 16 ? Yes No
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...
Prelab Answer the following questions 1. What is the unit-step response of a system with trans fer function G(s)- ST +1 where and τ are constants > 0? 2. Make a hand-sketch of the response of the...
Prelab Answer the following questions 1. What is the unit-step response of a system with trans fer function G(s)- ST +1 where and τ are constants > 0? 2. Make a hand-sketch of the response of the unit-step response of the system in Part 1 3. What is the value of the step response of the system in Part 1 when t? 4. Find or derive the expression for the transfer function from voltage to angular speed of an unloaded...
Find the zero-state response of the linear system with transfer function with an > 0 and 0 <くく1, when the input u(t) is the unit step, that is, u(t)-1(t), for 12 o, using both 1) the transfer...
Find the zero-state response of the linear system with transfer function with an > 0 and 0 <くく1, when the input u(t) is the unit step, that is, u(t)-1(t), for 12 o, using both 1) the transfer function approach and 2) the convolution approach
Find the zero-state response of the linear system with transfer function with an > 0 and 0
please help. Note: u(t) is unit-step function Consider the system with the differential equation: dyt) +...
please help.
Note: u(t) is unit-step function Consider the system with the differential equation: dyt) + 2 dy(t) + 2y(t) = dr(t) – r(e) dt2 dt where r(t) is input and y(t) is output. 1. Find the transfer function of the system. Note that transfer function is Laplace transform ratio of input and output under the assumption that all initial conditions are zero. 2. Find the impulse response of the system. 3. Find the unit step response of the system...
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a ...
Matlab code for the following problems.
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...
2.6.1 Consider a causal continuous-time LTI system described by the differential equation u"(t) +...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
Need help with 1a and 1b. Please show all work I (a) The unit step response...
Need help with 1a and 1b. Please show all work
I (a) The unit step response of a linear control system is shown below: 1.35 1.0 0 0.1 (sec) Find the transfer function of the second-order prototype system to model the system (b) The block diagram of a unity feedback control system is shown below. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and Kt...
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n}...
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n} + 14 (-1)" (5 points) (a) Determine the system function H(z) of the system. Plot the poles and zeros of H(a), and determine the ROC (b) Determine the impulse response of the system, An (e) Write the difference equation, y/n), as a funetion of past outputs, the present input, and past inputs
When a unit step is applied to a system at t= 0, its response is y(t) = [7 +0.8e-3t-e-2t|3cos(46) + 4.5 sin(44)] (1). Is the transfer function of the given system H(s) = 7 + 1.60s 2(3+3) 2s(s+2) 52 + 4s + 20 9s S2 + 4s + 16 ? Yes No
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...
Prelab Answer the following questions 1. What is the unit-step response of a system with trans fer function G(s)- ST +1 where and τ are constants > 0? 2. Make a hand-sketch of the response of the unit-step response of the system in Part 1 3. What is the value of the step response of the system in Part 1 when t? 4. Find or derive the expression for the transfer function from voltage to angular speed of an unloaded...
Find the zero-state response of the linear system with transfer function with an > 0 and 0 <くく1, when the input u(t) is the unit step, that is, u(t)-1(t), for 12 o, using both 1) the transfer function approach and 2) the convolution approach
Find the zero-state response of the linear system with transfer function with an > 0 and 0
please help.
Note: u(t) is unit-step function Consider the system with the differential equation: dyt) + 2 dy(t) + 2y(t) = dr(t) – r(e) dt2 dt where r(t) is input and y(t) is output. 1. Find the transfer function of the system. Note that transfer function is Laplace transform ratio of input and output under the assumption that all initial conditions are zero. 2. Find the impulse response of the system. 3. Find the unit step response of the system...
Matlab code for the following problems.
Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot...
2.6.1-2.6.62.6.1 Consider a causal contimuous-time LTI system described by the differential equation$$ y^{\prime \prime}(t)+y(t)=x(t) $$(a) Find the transfer function \(H(s)\), its \(R O C\), and its poles.(b) Find the impulse response \(h(t)\).(c) Classify the system as stable/unstable.(d) Find the step response of the system.2.6.2 Given the impulse response of a continuous-time LTI system, find the transfer function \(H(s),\) the \(\mathrm{ROC}\) of \(H(s)\), and the poles of the system. Also find the differential equation describing each system.(a) \(h(t)=\sin (3 t) u(t)\)(b)...
Need help with 1a and 1b. Please show all work
I (a) The unit step response of a linear control system is shown below: 1.35 1.0 0 0.1 (sec) Find the transfer function of the second-order prototype system to model the system (b) The block diagram of a unity feedback control system is shown below. Find the step-, ramp-, and parabolic-error constants. The error signal is defined to be e(t). Find the steady-state errors in terms of K and Kt...
3) Say a unit step input sequence is applied to a system yielding y/n)-4 (4)"- w{n} + 14 (-1)" (5 points) (a) Determine the system function H(z) of the system. Plot the poles and zeros of H(a), and determine the ROC (b) Determine the impulse response of the system, An (e) Write the difference equation, y/n), as a funetion of past outputs, the present input, and past inputs
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