Question

If a second order system has a settling time of 7 seconds, and a peak time of 3 seconds we may say that the system is stable. True False

Answer 1

Solutions Given Data and older system settling time (Ts) = 7 see (Tp) = 3 sec formulali peak time Step I 4 (a) + Settling time. To Eg en (b) * peak time 1 Tp oxd step- (a) from Substitute Equation ④ where e dampiona 4 ratio 7 Glon. lon- 78 (b) From Substitute Equation ? = π Wd cohere wd wo die ď on ita = 1 / 3 Vine wlat X 3 4

Now both sides Spalling (sia fet ) = (x74 Cicer) 3.3567 1 3.356 . 0.297 7& 0.0077 put Equation , von 4 7X0.0077 Co : 0. Do 49 Step-in :- Transfer function: wn? г): CIS) RES) st29 onston > 5² + 2 G wnst wno. 52 + 2X 0.0077X0.00444 (0.004402 3? +0.0067 s + 0.0019 = Condetron Satisfied the Equalon, 0 This is not any Possible,

. False - (Answer) Cannot any Sufficient value of Equation and But not condition) Satisfied on second order system. Hence finally Thank you for Ratings)