![6. For the open-loop pole-zero plot shown in Figure P8.4, sketch the root locus and find the break-in point. Section: 8.5] jo](http://img.homeworklib.com/images/1fce190e-f6f8-4621-a17e-ea40ca03462c.png?x-oss-process=image/resize,w_560)
Please solve with detailed steps and reasoning
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Please solve with detailed steps and reasoning 6. For the open-loop pole-zero plot shown in Figure P8.4, sketch the root locus and find the break-in point. Section: 8.5] jo s-plane jl 32 -1 FIGURE P8...
2. Sketch the general shape of the root locus for each of the open-loop pole- zero...
2. Sketch the general shape of the root locus for each of the open-loop pole- zero plots shown in Figure P8.2. [Section: 8.4] s-plane x s-plane 10) jo x S-plane X s-plane
13. Given the root locus shown in Figure P8.6. [Section: 8.5] a. Find the value of...
13. Given the root locus shown in Figure P8.6. [Section: 8.5] a. Find the value of gain that will make the system marginally stable. b. Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at -5. jo s-plane j1 X *T FIGURE P8.6
3. Roughly sketch the root locus plots for the pole-zero maps as shown in the figure...
3. Roughly sketch the root locus plots for the pole-zero maps as shown in the figure below. Show your estimates of the centroid α, angles of the asymptotes, and the root locus plot for positive values of the parameter K. Each pole-zero map is from a characteristic equation of the form: b(s) a(s) a) b) c) d) e)
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5...
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The jo-axis crossing c. The range of gain to keep the system stable d. The value of K to yield a stable system with second-order complex poles, with a damping ratio of 0.5
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The...
(30pts) For the pole-zero map of loop transfer functions shown below, roughly sketch the root locus...
(30pts) For the pole-zero map of loop transfer functions shown below, roughly sketch the root locus aagram. Calculate, if applicable, (i) the center and angles of asymptote, (ii) the arrival and departure angles for complex polesizeros,(ili) the brecak-in and break-away point, and (iv) clearly indicate the loci for positive values of the gain 2. (a) (15pts) 2-P breele per d branches . S.0,-1 ,+1-(52ms+8) mpn2 assympt shotw wan!
Sketch the root locus for the control system shown in Figure Q3(b). b) Calculate the breakaway...
Sketch the root locus for the control system shown in Figure Q3(b). b) Calculate the breakaway value of K and its location. Comment on the stability of the system. 1 G(s) and Ge(s) K (s+ 1) (s+2) where K is a positive constant C(s) R(s) G(s) Ge(s) Figure Q3(b) If the control system is modified by an addition of an open loop pole at s - 6 ii) 1 sketch the new root locus showing such that G(s) (s+1) (s+2)(s...
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...
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...
Theroot-locus design method (d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angle...
Theroot-locus design method
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
7. a) Sketch the root-locus Ris) C(s) diagram for the system S(5+) shown in figure when...
7. a) Sketch the root-locus Ris) C(s) diagram for the system S(5+) shown in figure when Ge=1. 6) Design phare- lead be compensator such that the system time constant is 0,25 see and != 0,45. Assume compensator at s=-4. Sketch the root-locus diagram of compensated system. c) Find the unit step responses of COMPENSATED and WN COMPENSATED systems and plot these responses. zero
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifica...
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifications require a closed-loop pole at (-3+j1). Design a lead compensator to make sure the root locus goes through this point. For the design, pick the pole of the compensator at-23 and analytically find its zero. (Hint: Lead compensator transfer function will be Ge (s)$+23 First plot the poles and zeros...
2. Sketch the general shape of the root locus for each of the open-loop pole- zero plots shown in Figure P8.2. [Section: 8.4] s-plane x s-plane 10) jo x S-plane X s-plane
13. Given the root locus shown in Figure P8.6. [Section: 8.5] a. Find the value of gain that will make the system marginally stable. b. Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at -5. jo s-plane j1 X *T FIGURE P8.6
3. Roughly sketch the root locus plots for the pole-zero maps as shown in the figure below. Show your estimates of the centroid α, angles of the asymptotes, and the root locus plot for positive values of the parameter K. Each pole-zero map is from a characteristic equation of the form: b(s) a(s) a) b) c) d) e)
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The jo-axis crossing c. The range of gain to keep the system stable d. The value of K to yield a stable system with second-order complex poles, with a damping ratio of 0.5
1 GH(s) (s24s3s2 + 10s 24) sketch the root locus and find the following: [Section: 8.5 a. The breakaway and break-in points b. The...
(30pts) For the pole-zero map of loop transfer functions shown below, roughly sketch the root locus aagram. Calculate, if applicable, (i) the center and angles of asymptote, (ii) the arrival and departure angles for complex polesizeros,(ili) the brecak-in and break-away point, and (iv) clearly indicate the loci for positive values of the gain 2. (a) (15pts) 2-P breele per d branches . S.0,-1 ,+1-(52ms+8) mpn2 assympt shotw wan!
Sketch the root locus for the control system shown in Figure Q3(b). b) Calculate the breakaway value of K and its location. Comment on the stability of the system. 1 G(s) and Ge(s) K (s+ 1) (s+2) where K is a positive constant C(s) R(s) G(s) Ge(s) Figure Q3(b) If the control system is modified by an addition of an open loop pole at s - 6 ii) 1 sketch the new root locus showing such that G(s) (s+1) (s+2)(s...
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...
Theroot-locus design method
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root locus plot. Find the asymptotes and their angles. the break-away or break-in points, the angle of arrival or departure for the complex poles and zeros, respectively, and the range of k for closed-loop stability 5 10ん k(s+21
(d) Gos)H(s)2) 5.5 Complex poles and zeros. For the systems with an open-loop transfer function given below, sketch the root...
7. a) Sketch the root-locus Ris) C(s) diagram for the system S(5+) shown in figure when Ge=1. 6) Design phare- lead be compensator such that the system time constant is 0,25 see and != 0,45. Assume compensator at s=-4. Sketch the root-locus diagram of compensated system. c) Find the unit step responses of COMPENSATED and WN COMPENSATED systems and plot these responses. zero
Question 1 (60 points) Consider the following block diagram where G(s)- Controller R(s) G(s) (a) Sketch the root locus assuming a proportional controller is used. [25 points] (b) Design specifications require a closed-loop pole at (-3+j1). Design a lead compensator to make sure the root locus goes through this point. For the design, pick the pole of the compensator at-23 and analytically find its zero. (Hint: Lead compensator transfer function will be Ge (s)$+23 First plot the poles and zeros...
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