Question

4.) (a) Sketch the positive root locus of the system shown below using the (2, 2) Pade approximation for the delay. State the asymptote angles and their centroid, the arrival and departure angles at any complex pole or zero, the frequencies of any imaginary axis crossings, and the locations of any break-in or break-away points. (b) Use Matlab to plot the positive root locus of the system shown below using the (2, 2) Pade approximation for the delay. Your sketch and the Matlab results should be displayed at similar scales (c) Use Matlab to plot the step response of the system shown below using the (2,2) Pade approximation for the delay and K 0.5. You should see the 1.5 second delay in the step response 6 e-3s/2 s2 +4s +8 1000100 5.) For the 2cd-order system, G(s) following everlasting sinusoids: (a) cos(500), (b) cos(1000r), and (c) cos(2000r). 6.) For the 1st-order system, G(s)ae the causal sinusoid cos(2000か1(1). Hint: Use the Laplace transform. determine the frequency response tot s2+20s +1000100 1000 determine the zero-state response with input equal to

Answer 1

maginory Axis (Secondi)

Poot

ep Response Page No 0y