Determine the gain K, to obtain a steady state error of 0.10:
*Hint, What type is the transfer function?
**Assume the input is a unit input (i.e. step, ramp, or parabola)
Determine the gain K, to obtain a steady state error of 0.10: *Hint, What type is the transfer fu...
(25 Problem 3: Steady State Error. Consider Iaput Rs) Output Cs) KGG) with the following transfer function. 5(s+1)-, and H(s)=1. G(S)- (+12s+5) (a) Calculate the error constants (K,, K,, Kg) and the steady state errors for three (20pts) (b) Find the value of K so that the results are valid. Hint: When is the systepí stable? (5 pts) basic types of unit (step, ramp, parabolic) inputs
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
Find the steady state error constants and the steady-state error response for the digital control system shown below, if the inputs are: a. Unit Step, u(t) b. Unit Ramp, t u(t) c. Unit Parabola, 0.5t2u(t) 2. R(s) + C(s) s(s 2) T=0.1
Question 6: a) Derive and expression for the steady state error of the system described below when a unit ramp function is used as input. r(t) —+ Q G.(s) Gy(s) y(t) H(s) 10 b) Find the steady state error with a ramp input as a function of K, when the transfer functions of the system are given as: Gc= + 3 G p = Gips? +45 +10 and H= 0.1 c) For what values of K would the system have...
Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final value. ii) poles dominate and determine the overshoot and settling time to within 2%
Q1. A closed-loop transfer function is G(s) Yo.108(s+3) els> ) Determine the steady-state error for a unit step imput R(s)-14s Error signal is E(s) - R(s)-Y(s). Assume that the complex of the final...
R(S) GC, (s) Gp2(S) Y(s) Determine the gain K to make that system settle with steady-state error given below: Hint: Determine the type of system ess(infinity) 0.05 Gol (s) = K*(s+2)*(s+10) Gp2(s)-1/(s+1)(sA2+15's+25)
R(S) GC, (s) Gp2(S) Y(s) Determine the gain K to make that system settle with steady-state error given below: Hint: Determine the type of system ess(infinity) 0.05 Gol (s) = K*(s+2)*(s+10) Gp2(s)-1/(s+1)(sA2+15's+25)
Design a controller for the transfer function)5)(1(1)(++=sssGto obtain (i) zero steady-stateerror due to step, (ii) a settling time of less than 2 s, and (iii) an undamped natural frequency of 5 rad/s. Obtain the response due to a unit step and find the percentage overshoot, the time to the first peak and steady-state error percent due to a ramp input
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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.
For the system shown below state the system type, and find the steady state error for an input of 50u(), 50rl(t), 5012U(t) 2. C(s) (s3) (Hint: Close the inner-loop first to get the standard unity feedback system with loop transfer function G(s)+3 +7s +15
For the system shown below state the system type, and find the steady state error for an input of 50u(), 50rl(t), 5012U(t) 2. C(s) (s3) (Hint: Close the inner-loop first to get the standard unity feedback...