1. The impulse response of a second order system is shown below: Impulse Response Amplitude 1...
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
4. The unit step response of a first order system is shown below: Step Response Amplitude 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (seconds) Please find the transfer function of this system. Please include detailed steps. Hint: Please find the time constant and the constant gain (the numerator)
1: The plot shown below represents the step response of a second-order LTI system (with input (t) and output y(t)) with zero initial conditions. From the step response: (a) Estimate the peak time tp, and the maximum percentage overshoot %Mp. (b) Estimate the natural frequency wn and the damping ratio c. (c) Derive a differential equation corresponding to this system using the results of parts (a) and (b). Step Response X: 085 Y: 1.261 Amplitude 0 0.5 1 1.5 2...
- Frequency Response (Amplitude Response only). Hz). with frequency, 22. for a discrete time system shown below. *(-1) - x[-2] - ... -0 and yf-1) - Y[-2] ... - x[r] - int) Find “Math Model" for the system. nt) Find "Transfer Function" for the system. Draw the pole-zero plot for the system (use unit circle on Re-Im axis) Sketch the amplitude response of the system → indicate values at important points (92 = 0, 1/4, 21/4, 37/4, T) include detailed...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
Step Response Step Response 18 2 16 System 1 Peak amplitude: 2.19 Overshoot (9.00 Al time seconds):0.391 System: G2 Time seconds): 0.494 Amplitude 16 System: G2 Time seconds 31 Amplitude: 1.04 1.5 1.2 Amplitude Amplitude 1 08 06 0.5 0.2 O 0.1 0.2 0.6 0.3 04 0.5 Time (seconds) 07 5 Time (seconds) 1) For the step responses, obtained from some unknown systems, shown above, find dynamic system models using only the data points shown in, assume that all points...
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,...
Question One (a) The Impulse Response of a second order system is given by h(t) where: h (t) 4000 e 3000 e20 where the time, t, is given in milliseconds (ms) and h(t) is considered to be the resulting voltage in volts. (0) Derive the Transfer Function, the Laplace Transform H(s) of h(t). (i) Using part (0, write out the Frequency Response, H(jo), of the second order (ii) Express the Frequency Response obtained in part (i) as a single response...
Determine the system function, impulse response, and zero-state response of the system shown in the below Figure x(n) y(n) 7-1
Consider an linear time invariant system whose impulse response is shown in the figure below. If the input x(t) = u(t) then what will be the output at t=1.5 seconds ?