Consider the following closed-loop system: ID(S) Cis) P(s) R(s) — 0 40 52 + 20s +...
pleas show all work thank you Disturbance D(s) Reference Control Output Input Error Input t US) Y(s) Plant Given the above closed loop block diagram: Let aundl s) KK (a) Show that the above system will have zero steady state error for step reference input (when D(s)-0) as well as for step disturbance input (when R(s)-0). (b) LetJ B K1 and Kp0, what about the stability of the closed loop system? Disturbance D(s) Reference Control Output Input Error Input t...
Consider the closed loop system defined by the following block diagram. a) Compute the transfer function E(s)/R(s). b) Determine the steady state error for a unit-step 1. Controller ant Itly Ro- +- HI- 4단Toy , c) d) e) reference input signal. Determine the steady state error response for a unit-ramp reference input signal. Determine the locations of the closed loop poles of the system. Select system parameters kp and ki in terms of k so that damping coefficient V2/2 and...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
HVV 10.2 Disturbance Consider the following closed loop system; K T(S) : 48 = $#18 S+14 S2+55 +6 G(s) H(s) • Determine; • T(s)= yes • E(s) = R(s)-Y(s) • Steady State error value due to step input, R(s) • Sensitivity of TF respect to K, S Solution; notes
4. Consider the following closed-loop system in which G(s) = and H(s) = 1. de)_ GC) ylt) Derive the transfer function刽 2, where E (s) = R(s) H(s)Y(s). What is the smallest value of K for which the steady-state error due to a unit step disturbance, d(t) -), s less than 0.05? Ea(s) D(s)
Consider the following closed-loop system, where Y(s) R(s)+ KcP Ks Assume the following nominal values: Ko-2. 〈 = 0.8; ω,-4; Ks-2. Use transfer function sensitivity calculations in answering the questions below. a) With proportional controller gain K 10 and r(t) a step input, determine the percentage change in steady-state output y(t) if Ko increases 5% from its nominal value. (12 pts.) b) Repeat part (a) with Kc - 50. (6 pts.) c) With proportional controller gain Kc 10 and r(t)...
Consider the closed-loop system shown in the following figure. RIS) Y(S) G(S) Let (52+1) 19. If the gain is changed from K= 6 to K=12, then the system steady-state output response for a unit-step input will improve by: Select one: o o o a. 33.33% b. 25% c. 50% o d. 75%
4. Consider the block diagram shown below where D(s) is a step disturbance input. D(s) Controller Plant R(s) + E(s) C(s) G2(s) Ideally you want your controller design to reject a step disturbance input at D(s). This means that in the steady state for D(s)-1, the value of Y(s) is unchanged (a) Ignoring the input R(s), what is the transfer function器in terms of Gi(s) and G2(s)? (b) For G1(s)Ks 2) and G2(s)0419 what is the steady state error resulting from...
For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are systems gains, determine the following: (a) Derive an expression for the error Eis) Rs)- C(s) in terms of R(s) and D(s) (b) What is the steady state error if R(s) and D(s) are both step inputs D(s) Cls) R(S) k, Kes For the system shown, where R(s) is the input and D(s) is the disturbance, and K and K2 are systems...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...