A) For each of the following transfer functions of a second order system 1 1) G() = 144 32 +65 +144 9 2) G(8) = 32 +98 +

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A For Each Of The Following Transfer Functions Of A Second Order System 1 1 G 144 32 65 144 9 2 G 8 32 98 1 (26.51 KiB) Viewed 28 times

A) For each of the following transfer functions of a second order system 1 1) G() = 144 32 +65 +144 9 2) G(8) = 32 +98 +9 3) G(s) 9 32 +2 +9 4) G(*) 9 2 +9 9 92 +63 +9 5) G(8) a) Compute the damping ratio , the natural frequency wo and the poles 81.2 -{w V-1. b) Describe the type of the system: over-damped, critically damped, under- damped or undamped. c) Describe if the system is: stable, marginally stable or unstable. d) Write the general form of the time domain unit-step response of each sys tem (Note that, the Laplace transform of the unit-step response is given by Y(s) = R(s).G(s) = G(s). You can compute the coefficients using their gen- cral form given on the slides). e) In the cases when the system is under-damped, describe its performance characteristics: T. (settling time), T.(rise time), T, (peak time) and OS. (over- shoot).