For the feedback configuration shown below compute all the parameters of the root locus and sketch it for each of the systems given.
a) P(s) = 1/(s +1+3j)(s +1−3j) , C(s) = K(s +2)/(s +8)
b) P(s) = (s +3+4j)(s +3−4j)/s(s +1+2j)(s +1−2j) , C(s) = K(1+3s)
For the feedback configuration shown below compute all the parameters of the root locus and sketc...
help on #5.2
L(s) is loop transfer function
1+L(s) = 0
lecture notes:
Lectures 15-18: Root-locus method 5.1 Sketch the root locus for a unity feedback system with the loop transfer function (8+5(+10) .2 +10+20 where K, T, and a are nonnegative parameters. For each case summarize your results in a table similar to the one provided below. Root locus parameters Open loop poles Open loop zeros Number of zeros at infinity Number of branches Number of asymptotes Center of...
For each of the following feedback systems a. Sketch the Root Locus b. Indicate if there are break-in and/or break-away points, and how many c. Indicate if there are asymptotes and how many d. Use hand calculations to compute the break-in/break-away points e. Use hand calculations to compute the asymptotes SYSTEMI 1 G(s) = (s2 + 5s + 4)(s2 + 5s +6) H(s) = (s + 0.5) SYSTEM II G(s) = (s2 – 3s + 2) (52 +3s + 2)...
Sketch the root locus for the unity feedback system shown in Figure P8.3 for the following transfer functions: (Section: 8.4] K(s + 2)(8 + 6) a. G(s) = 52 + 8 + 25 K( +4) b. G(S) = FIGURE PR3 152 +1) C G(s) - K(s+1) K (n1)(x + 4) For each system record all steps to sketching the root locus: 1) Identify the # of branches of the system 2) Make sure your sketch is symmetric about the real-axis...
1 Sketch the root locus for the unity feedback systems that have an open-loop transfer function of: 6. G(S) = k(s? +1) (s - 1)(8 + 2)(8+3)
4. [30pts] Sketch the root locus of the unity feedback system shown in Figure 1 for the following transfer functions using the five rules: (G101 (b) Ga(s) (c)G,(s) Keh) K(s+2) (8+7) 82 +68+16 K (s2+2) +1
[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)...
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 gain K. c) if the system is to be cascade-compensated so that T, -1 sec, find the compensator compensator zero is at -45. pole if the d) Sketch the root locus for the new compensated system.
4) 3s points 11. Given the unity...
Linear feedback systems evaluate the root locus for the unity gain negative feedback system where the feed - forward gain is G(s) = K(s+6) / s(s+1) (s+3) A. Determine and carefully draw real-line root locus and calculate the asymptotes B draw and label the root- locus. denote any angles of departure, jw-axis crossing and breakpoints
course name: control system
topic about root locus
please show all your steps to make easier for understanding.
1. Determine the stability condition of the systems describe in the first column below. Justify your answer with reason. show all your answers steps Justification Stability condition Systems description dy y +2 y x +3 dt dy -6y= x + dt2 dt provide special condition provide special condition 2. Given the closed loop system in the figure below, analysis the systems given...
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....