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1. (Without Octave) Design a controller (C) to have A) a zero steady-state error B) less than 20% overshoot 1 с s + 10 2. Discuss whether you can design a controller, having requirement at question 1 as well as 0.1 second settling time. 3. F(s) = = 1 s(s+1) Find angle of F(s) at the point s = -2+j2. 4. Given a unity feedback system that has the forward transfer function G(s) = - K s s² + 4s +8 a) Calculate the angle of G(s) at the point (-3+j0) by finding the algebraic sum of angles of the vectors drawn from the zeros and poles of G(s) to the given point. b) Determine if the point specified in a) is on the root locus. c) If the point specified in a) is on the root locus, find the gain, K, using the lengths of vectors. Octave: Comparing and designing the feedback controllers. For the 2nd order dynamic system, (numerator coefficient [K, 1] and denominator coefficient [1, 4, 8]). 1. Simulate the proportional negative feedback controller (with gain 1) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 2. Simulate the proportional negative feedback controller (with gain 10) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 3. Simulate the proportional negative feedback controller (with gain 100) on the plant for step input. Provide the peak time, % overshoot, and steady-state error.

1. (Without Octave) Design a controller (C) to have A) a zero steady-state error B) less than 20% overshoot 1 с s + 10 2. Discuss whether you can design a controller, having requirement at question 1 as well as 0.1 second settling time. 3. F(s) = = 1 s(s+1) Find angle of F(s) at the point s = -2+j2. 4. Given a unity feedback system that has the forward transfer function G(s) = - K s s² + 4s +8 a) Calculate the angle of G(s) at the point (-3+j0) by finding the algebraic sum of angles of the vectors drawn from the zeros and poles of G(s) to the given point. b) Determine if the point specified in a) is on the root locus. c) If the point specified in a) is on the root locus, find the gain, K, using the lengths of vectors. Octave: Comparing and designing the feedback controllers. For the 2nd order dynamic system, (numerator coefficient [K, 1] and denominator coefficient [1, 4, 8]). 1. Simulate the proportional negative feedback controller (with gain 1) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 2. Simulate the proportional negative feedback controller (with gain 10) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 3. Simulate the proportional negative feedback controller (with gain 100) on the plant for step input. Provide the peak time, % overshoot, and steady-state error.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1. (Without Octave) Design a controller (C) to have A) a zero steady-state error B) less than 20% overshoot 1 с s + 10 2. Discuss whether you can design a controller, having requirement at question 1 as well as 0.1 second settling time. 3. F(s) = = 1 s(s+1) Find angle of F(s) at the point s = -2+j2. 4. Given a unity feedback system that has the forward transfer function G(s) = - K s s² + 4s +8 a) Calculate the angle of G(s) at the point (-3+j0) by finding the algebraic sum of angles of the vectors drawn from the zeros and poles of G(s) to the given point. b) Determine if the point specified in a) is on the root locus. c) If the point specified in a) is on the root locus, find the gain, K, using the lengths of vectors.
Transcribed Image Text:1. (Without Octave) Design a controller (C) to have A) a zero steady-state error B) less than 20% overshoot 1 с s + 10 2. Discuss whether you can design a controller, having requirement at question 1 as well as 0.1 second settling time. 3. F(s) = = 1 s(s+1) Find angle of F(s) at the point s = -2+j2. 4. Given a unity feedback system that has the forward transfer function G(s) = - K s s² + 4s +8 a) Calculate the angle of G(s) at the point (-3+j0) by finding the algebraic sum of angles of the vectors drawn from the zeros and poles of G(s) to the given point. b) Determine if the point specified in a) is on the root locus. c) If the point specified in a) is on the root locus, find the gain, K, using the lengths of vectors.
Octave: Comparing and designing the feedback controllers. For the 2nd order dynamic system, (numerator coefficient [K, 1] and denominator coefficient [1, 4, 8]). 1. Simulate the proportional negative feedback controller (with gain 1) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 2. Simulate the proportional negative feedback controller (with gain 10) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 3. Simulate the proportional negative feedback controller (with gain 100) on the plant for step input. Provide the peak time, % overshoot, and steady-state error.
Transcribed Image Text:Octave: Comparing and designing the feedback controllers. For the 2nd order dynamic system, (numerator coefficient [K, 1] and denominator coefficient [1, 4, 8]). 1. Simulate the proportional negative feedback controller (with gain 1) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 2. Simulate the proportional negative feedback controller (with gain 10) on the plant for step input. Provide the peak time, % overshoot, and steady-state error. 3. Simulate the proportional negative feedback controller (with gain 100) on the plant for step input. Provide the peak time, % overshoot, and steady-state error.
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