In a closed loop system as shown below, G.(S) =3, G(S) =4/(s+4), and H(s) = 1....
In a closed loop system as shown below, G (8) = 6, G(8) = 8/(+8), and H() 1 (note that although the system block diagram may look the same as in some other problems, the blocks are different) Assume that the signal (R()) and the noise (NC) ) are all zero, what is the steady-state error (the time domain response of E(s) = R(s) - Y(8) at time t-00) due to a unit step disturbance, T.(s) = 1 0-617 0...
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)
help Consider the closed-loop system in Figure E5.19. where Gs)G 3s and H(s) -K (a) Determine the closed-loop transfer function T(s) Y(s)/R(s). (b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(s) 1/s (c) Select a value for Ka so that the steady-state error of the system response to a unit step input, R(s)1/s, is zero.
PROBLEM 4 Suppose that a system is shown in Figure 4. There are three controllers that might be incorporated into this system. 1. Ge (s)-K (proportional (P) controller) 2. GS)K/s (integral (I) controller) 3. G (s)K(1+1/s) (proportional, integral (PI) controller) The system requirements are T, < 10 seconds and P0 10% for a unit step response. (a) For the (P) controller, write a piece of MATLAB code to plot root locus for 0<K<,and find the K value so that the...
Consider the following closed-loop system: ID(S) Cis) P(s) R(s) — 0 40 52 + 20s + Recall that E(s) = R(s) - Y(s). a) What is steady-state error, ess, in response to a unit step at disturbance input D(s) when a = 12? b) What is steady-state error, ess, in response to a unit step at disturbance input D(s) when a = 12.3? c) What is the fractional change in a between parts (a) and (b)? In other words, what...
s(s + 3) ro 2 em A closed-loop system has the loop transfer function given where τ 0.1 second. Calculate the minimal value of K so that the steady-state error due to unit step disturbance is less than 10 percent. (s+r) Problem 3 Consider a feedback system with the g K for closed-loan ctolil
2. Consider the closed-loop system shown below: R(S) MS to Gs)_ G(S) H(s) A. Obtain the transfer function of the closed-loop system. B. Obtain the sensitivity of the closed-loop system to the variations of G(s) (SC). How can one tune G(s) such that the sensitivity of the system to G(S) is minimized? C. Obtain the sensitivity of the closed-loop system to the variations of H(s) (S). What is the lowest possible value of this sensitivity?
A closed-loop control system has Gc(s) = 10, G(s) = (s+50)/(s^2+60s+500), and H(s) = 1. a) Find the transfer function Y(s)/R(s). b) Plot the pole-zero map of the transfer function. c) Find the response y(t) to a unit step input. d) Find the steady-state (final) value of the output.
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
A closed-loop control system is shown in Figure 3 7000 +52 + 700s +1200) 1 Figure 3 A. Determine the transfer function T(s) = Y(s)/R(s). B. Use a unit step input, R(s) = 1/s, and obtain the partial expansion for y(s). C. Predict the final value of y(t) for the unit step input.