4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the g...
steps R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
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...
A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of Gp(s) if it is desired that the uncompensated system has a 10% OS (overshoot) to a step input. (4 points) a 5% overshoot and a peak time Tp 3.1 meets the requirements described in part (b) and achieves zero steady state (b) Compute the desired...
I8. Consider the unity feedback system of Figure P9.1 with G(s) s +3)(s +5) . Show that the system cannot operate with a settling time of 2/3 second and a percent over- shoot of 1.5 % with a simple gain adjustment. b. Design a lead compensator so that the system meets the transient response characteristics of Part a.Specify the compensator's pole, zero, and the required gain. R) Cu) FIGURE P9.1
22. For the unity feedback system given in Figure P9.1 with G(S) = 5(+ 5)(s + 11) do the following: [Section: 9.4] a. Find the gain, K, for the uncompensated system to operate with 30% overshoot. b. Find the peak time and K, for the uncompensated system, c. Design a lag-lead compensator to decrease the peak time by a factor of 2, decrease the percent overshoot by a factor of 2, and improve the steady-state error by a factor of...
[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 K as a variable s(s+4) (s2+4s+20)' Determine asymptotes, centroid,, breakaway point, angle of departure, and the gain at which root locus crosses jw -axis. [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...
Please solve with detailed steps (NO MATLAB Solution).Thanks in advance 13. Consider the unity feedback system of Figure P9.1 with K G(s) s(s +20)(s +40) The system is operating at 20% overshoot. Design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot and do the following: (Section: 9.3] a. Evaluate the uncompensated system's dominant poles, gain, and settling time. b. Evaluate the compensated system's dominant poles and settling time. c. Evaluate the...
3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value. 14. Sketch the root locus and find the range of K for stability for the unity feedback system shown in Figure P8.3 for the following conditions: [Section: 8.5 G(s) = Ke-2+2) 1, 3) (30 points) Find the range of K for the unity feedback system below, but also points and calculate any asymptotes & jw-crossing value....
Sketch the root locus of the unity feedback system shown in Figure P8.3, where G)(1s and find the break-in and breakaway points. [Sec- tion: 8.5
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)...