![Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s](http://img.homeworklib.com/images/181228c0-10ad-4cae-ab4e-4db7c9c88d6a.png?x-oss-process=image/resize,w_560)
Q2. (a) Design a phase-lead compensator for the system in Figure Q2 to meet the following-step response specifications: a 5% settling time (3/Gun,-075 s [20 marks] ability of this control system to track 61-a ramp input. 0 S +2 Figure Q2.
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Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer f...
Sketch the root locus plot of a unity feedback system with an open loop transfer function...
Sketch the root locus plot of a unity feedback system with an open loop transfer function G(s) = K / s (s+2) (s+4) Determine the value of K so that the dominant pair of complex poles of the system has a damping ratio of 0.5.
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus...
[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...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
Lectures 15-18: Root-locus method 5.1 Sketch the root locus for a unity feedback system with the ...
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...
7. Consider a unity feedback control system with open-loop transfer function G(s) = k 5 s...
7. Consider a unity feedback control system with open-loop transfer function G(s) = k 5 s + 2)(52 + 4s + 5) Find the value of gain K > 0 for which the root locus crosses the imaginary axis.
Sketch the root-locus plot of a unity feedback system. Determine the asymptotes of the root loci....
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)
1 Sketch the root locus for the unity feedback systems that have an open-loop transfer function...
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)
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) ...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) (s +15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. (b) Design a PID compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. Design specifications -SSE to a unit step reference input is less than 0.02. Overshoot is less than 20%. Peak time is less than...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root lo...
[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)...
[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...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
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...
7. Consider a unity feedback control system with open-loop transfer function G(s) = k 5 s + 2)(52 + 4s + 5) Find the value of gain K > 0 for which the root locus crosses the imaginary axis.
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)
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)
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) (s +15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. (b) Design a PID compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. Design specifications -SSE to a unit step reference input is less than 0.02. Overshoot is less than 20%. Peak time is less than...
[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)...
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