What is the static acceleration error constant of the following non-unity feedback system? 1 R(S) C(s)...
r е u y C(s) P(s) Figure 2: A unity feedback system. 4 2. In Figure 2, let L(s) = P(s)C(s) = Answer the following: s(s+2) (a) What is the percentage overshoot PO of the closed-loop step response from r to y? (b) What is ||y(t)||.0 when r(t) = 8(t), i.e., the peak of the impulse response from r to y? (c) What is the energy of the error ||e(t) ||| when r(t) = o(t)? L(S) (d) Let T(S) =...
Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity feedback control system shown in Figure 3, 100 G(S) (s+2)(+10) Page 3 of 7 NEE3201 Examination Paper CRICOS Provider No: 00124k a) Determine the phase margin, the gain crossover frequency, the gain margin, the phase crossover frequency of the system when Gc(s)-1, 10 marks) b) Design a proportional controller Gc(s)-K so that a phase margin of 50° is achieved....
R(s)) C(s) 1. For the unity feedback system shown above where K(s2 +2s +5) G(S)2(s +3) a) b) c) Find the system type. What error can be expected for an input of 10u(t)? What error can be expected for an input of 10tu(t)?
For the following negative unity feedback system where C(s) is a lag controller and s+ z 10 $2 + 4s + 10 s+p? remo +9com R (S) O c(s) Gm porc KO Y(s) determine the value of z and p such that the steady-state tracking error is less than 0.1 for input R(s) =
1. a. Plot the root loci for the unity-feedback system whose feed-forward transfer function is: G(s) = - s(s? + 4s + 8) If the value of K is set 8, where are the closed loop poles located? (5 Points) Hint: Non-dominant pole is an integer. b. Outline the procedure for design of a lag compensator (on the forward path) that cuts down the rise and settling times to half of the dominant second order system in 1. a. (3...
1. A system with a unity feedback has a forward transfer function of G(s) 60 G(s) s(0.4s+1)(s1)(s +6) a. Show that the system has a non-zero error only when the ramp input is applied. What is the magnitude of the corresponding error constant? b. What are the errors of the system due to step input and parabola input? c. A PD controller with proportional gain of Kp and derivative gain of Kp added to the design. Draw the block diagram...
For the unity feedback system
below, with
For the unity feedback system below, with G(s) s 5) (s 6) C(s) G(s) 1 Draw Clearly the root locus 2- Find the break-in and breakaway points
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch the bode plot with Matlab command bode0 b) Plot the nyquist diagram using Matlab command nyquist(0, find the system stability c) Find phase margin, gain margin, and crossover frequencies using Matlab command margin(0 and find the system stability
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch...
Problem (5): . The unity feedback system shown in Figure P9.1 with is operating with 10% overshoot [Section: 9 21 R. Whai is the value of the appropriate static error constant? b. Find the transfer function of a lag network so that the appropriale static error constant equals 4 without appreciably changing he dominant poles of the uncompensated system e. Use MATLAB or any other computer MATLAD progtam to si mulatcthe system o seethe effect of your compensator ML C(F)...
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such that the desired closed-loop poles at -2+2j following steps: J, by completing the (a) Find the angle deficiency from the compensator, (b)Find the zero and poles of the compensator (c) Find constant gain Kc.
1. Given a unity feedback system with the open-loop transfer function s(0.5s +1) .design a lead compensator ,0 〈 α 〈 1, such...