Controller Process R S Ge S 1 52 58 6 Ys Figure Cp7 7 A Single Loop Feedback Control System With Con Troller Gc S 1 (269.26 KiB) Viewed 24 times
Controller Process R(S) Ge(s) 1 52 +58 +6 YS) FIGURE CP7.7 A single-loop feedback control system with con- troller Gc(s). = = = CP7.7 Consider the feedback control system in Figure CP7.7. We have three potential controllers for our system: 1. Gc(s) = K (proportional controller) 2. Gc(s) = K/s (integral controller) 3. G.(s) = K(1 + 1/s) (proportional, integral (PI) controller) The design specifications are T, < 10 s and P.0.5 10% for a unit step input. (a) For the proportional controller, develop an m-file to sketch the root locus for 0 < K < 0, and
determine the value of K so that the design speci- fications are satisfied. (b) Repeat part (a) for the integral controller. (c) Repeat part (a) for the PI controller. (d) Co-plot the unit step responses for the closed- loop systems with each controller designed in parts (a)-c). (e) Compare and contrast the three controllers obtained in parts (a)–(c), concentrating on the steady-state errors and transient performance.
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