Answer Happy

Q3. a) A single degree of freedom spring-mass-damper system's block diagram is shown in Figure Q3a, and the system is subjected to a Unit Step input, f(t) and it produces a typical Second Order System response, x(t) shown in Figure Q3b. r(t). y(t) K G(S) = 82 $-+as + b Figure Q3a Step response 0.84 0.8 0.76) 1 0.6 0.4 0.2 0 0.5 1 2 2.5 3 1.5 Time (s) Figure Q3b 1) From the response curve, determine the maximum overshoot, settling time (5%) and steady state error. [6 marks] 2) State if this system is undamped, underdamped, critically damped or overdamped and explain why. [2 marks] 3) Determine K, a, b of the open loop transfer function G(s) [8 marks]