Find the root locus diagram using the rules of root locus diagram.
G(s) = k(s+2)/(s+0)(s+0)(s+3)
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4. Consider the system described by the following block diagram. In this block diagram \(G(s)=\frac{1}{s+1}, C(z)=\frac{K}{1-z^{-}}\) are the system model and the digital controller. (a) Sketch the root locus diagram of the system, \(C(z) G(z)\). (b) Determine the range of gain \(K\) for the stability using the root locus. (c) Determine the value of gain \(\mathrm{K}\) to get around \(10 \%\) maximum overshoot when a step input is applied using the root locus. Verify your results with plotting the closed...
Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity Sketch the root-locus diagram for the closed-loop poles of the system 1+K 4. -0 with given s(s2 +3s+4) characteristic equations as K varies from 0 to infinity
% We can couple the design of gain on the root locus with a % step-response simulation for the gain selected. We introduce the command % rlocus(G,K), which allows us to specify the range of gain, K, for plotting the root % locus. This command will help us smooth the usual root locus plot by equivalently % specifying more points via the argument, K. Notice that the first root locus % plotted without the argument K is not smooth. We...
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
Note: Please draw the Root Locus plots using Rules and verify your results with Matlab Commands. Enclose both plots. For the unity feedback system, with the following transfer functions (as shown in problems 1 through 4), sketch the Root- Locus plot and find the following: (a) The break-away and break-in points (b) The jw-axis crossing (c) The angle of departures / arrivals at complex poles and zeros. (d) The range of the gain K, to keep the system stable. Problem...
[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...
1 (60 points) the following block diagram where G(o)-3 (+1+30s+s) Gri (a) Sketch the root locus assuming a proportional controller is uned (b) Assume design specifications require a closed-loop pole at (-2+/1), Design a to make sure the root locus goes through this point. Afher the design, determine the value of K that will create the closed-loop pole at the desired poin
Sketch the root-locus plot of a unity feedback system. Determine the asymptotes of the root loci. Find the points where root loci cross the imaginary axis and the value of at the crossing points. Find the breakaway point. K(s+9) G(s) =- H(S)=1 s(s+2) (s+5)
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...
No need to sketch the root locus. Please just answer the Kp stability range question for the system given in Figure 1 for both Gp(s) equations. **Note: Numerator of eq.3 should say s^2+2*s+2 R(s) _ Y(S) O KP Figure 1: Generic block diagram. 2. Given the block diagram in Figure 1, (a) Sketch the Root Locus When, (a) 52+2+2 Gp(s) = (52 – 11s+24)(52+75) and (b) 5-9 (5-3) (s2 – 65+5) (s2 +2s - 8) Assuming K, > 0, are...