s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s2 + 2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9. 3x(0+1.3) G(S) = (0+1.4)(s? + 25 +1.49) 1.4(32 +28...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
2. Nise(9.6) For a unity feedback system KG(s) (s 6) G(s) T(s) (s 2)(s3)(s 5) 1 + KG(s) a) Given a K 4.60, .707, on the 135 line, find the operating point on the root locus NOTE: use the fact that 1 + KG(s) 0 at all points on the root locus, so K 1 and G(s)l 12(2k 1)180. Or use geometry using the point knowing that cose LKG(s) 1 = and a wn and b b) Find the steady...
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root locus of the closed loop system whose open-loop transfer function is given as 2s + 2 G(S)H(S)+7s3 +10s2 3) Plot root locus of the closed-loop system for which feedforward transfer function is s + 1 G(S) s( ) St(s - and feedback transfer function is H(S)2 +8s +32
1) Plot the root locus of the system whose characteristic equation is 2) Plot the root...
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
1. Given the unity feedback system, where K(s+1(s 2) 1)(s-4) G(s) do the following: (a) Find the root locus form. (b) Sketch the root locus. (c) Find the value of K such that the system is stable. (d) Find one value of K such that the closed-loop has a settling time less than or equal to 4 second and the percent of overshoot is less than or equal to 10 with the aid of MATLAB
1. Given the unity feedback...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
3. Nise(9.6) For a unity feedback system (s + 6) (s + 2)(s +3) (s +5) KG(s) G(s) Ts) a) Given a K-4.60, ζ;.707, on the 135° line, find the operating point on the root locus! NOTE: use the fact that 1 + KG(6) - 0 at all points on the root locus,so K r and Goi an KG(s)1 1(2k +1)180. Or use geometry using the point knowing that cose- b) Find the steady state error, and the steady state...