Question 2: 5+3+5-13Marks A third-order system having in open loop tansfer finction KG(s) is representative of a ty...
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...
1. Steady-State Error question Nise (7.13) For the system in Fig P7.4 find Kp, K,, Kg and state the system type 3) FIGURE P7.4 2. Nise (9.3) For a unity feedback system with 10% OS: KG(s) 1 +KG(s) NOTE: the 10% overshoot line is 126.16" with a (-59. a. Find the K value of the system at 10% OS if this corresponds to a point on the root locus of s-1.87+j2.56 NOTE: use the fact that 1 + KG(s)- 0...
i am needing help with a b c o chris question thanks 1000 O(s) Gc(s) s(s2 110s 1250) Figure 2: Disc Drive System Block Diagram We will now try to design a compensator with the requirements that Overshoot 10% ii. Ts S 100ms II. eramp(oo) s 0.001 Do the following (you may use MATLAB at your leisure, but be sure to explain your logic for your design choices) a) Use MATLAB to draw the root locus when Gc K. Augment...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
2. Nise (9.3) For a unity feedback system with 10% OS: KG(s) Ts)- 1+ KGS) G(s) (s +2)(s +3) (s +7) NOTE: the 10% overshoot line is 126.16" with a 7-59. a. Find the K value of the system at 10% OS if this corresponds to a point on the root locus of s-1.87+j2.56 NOTE: use the fact that 1 + KG(6) -0 at all points on the root locus,so K -() convert your G(s) to a exponential magnitude to...
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s + 10) is operating with 12% overshoot ({=0.56). (a) the root locus plot is below, find the settling time (b) find ko (c) using frequency response techniques, design a lead compensator that will yield a twofold improvement in K, and a twofold reduction in settling time while keeping the overshoot at 12%; the Bode plot is below using the margin command and using the...
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...
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...
[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)...
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotically stable and such that the following design criteria are met: the gain crossover frequency wc should be between w1 and w2. the steady-state error should be zero in response to a unit step reference. the velocity constant should be greater than Kv (in other words, the steady-state unit...