- Predict And Compare Performance Of Controllers D S And D S Let Tr S Be The Closed Loop Transfer Function Using Co 1 (27 KiB) Viewed 41 times
1e06 (s+18) (s+140)
(s+2200)
----------------------------------------------
(s+0.7) (s+6) (s+40) (s+220) (s+1000) (s+5000)
D1 = K1 = 0.6095
D2 = K * (s+a) / (s+b) = (3.819x10^3) * (s+79.5798) /
(s+12566)
Predict and compare performance of controllers D, (s) and D,(s): Let Tr(s) be the closed-loop transfer function using controller D. (s) and let 1,(s) be the closed-loop transfer function using controller D,(s). e. (5 pts) Use the crossover freqencies and phase margins of L(s) and L,(s) to estimate the closed loop bandwidth and the effective damping ratios 5 for T;(s) and T,(s), respectively. (For closed-loop bandwidth, provide expected ranges based for the closed loop bandwidths). f. (5 pts) For each system Tí(s) and Tz(s), use the calculations from part e to predict the rise time and maximum percentage overshoot. g. (3 pts) Submit a single appropriately labeled Bode plot showing the closed-loop frequency responses T (jo) and T,(jo). (The bode command can plot Bode plots for multiple systems with one function call.)