Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Given a model of the speed control for the electric motor in an electric powered vehicle with a unity-feedback loop: D(s) G (s) (s² + 4s + 5) G(s) : (s + 1)(s +2)(s+3) D(s) = K (K>0 ) a) If K = 1, what is the steady-state error of the closed-loop system ess for a unit-step input? What types of compensators could we use (name at least 2) to reduce eșs to below some specified percentage (say 1%)? Briefly discuss pros/cons of using those types of compensators for this system (and in general) – in 1 or 2 sentences. If we used a lag-compensator, would we be able to reduce ess to unit-step input to 0? What type of compensator would we have to use to guarantee steady-state error ess to unit-step input is 0? b) What part of the real-axis belongs to the root-locus of this system when K is varied from O to infinity? c) Derive the asymptotic angles for the root-locus branches that end in infinity

Given a model of the speed control for the electric motor in an electric powered vehicle with a unity-feedback loop: D(s) G (s) (s² + 4s + 5) G(s) : (s + 1)(s +2)(s+3) D(s) = K (K>0 ) a) If K = 1, what is the steady-state error of the closed-loop system ess for a unit-step input? What types of compensators could we use (name at least 2) to reduce eșs to below some specified percentage (say 1%)? Briefly discuss pros/cons of using those types of compensators for this system (and in general) – in 1 or 2 sentences. If we used a lag-compensator, would we be able to reduce ess to unit-step input to 0? What type of compensator would we have to use to guarantee steady-state error ess to unit-step input is 0? b) What part of the real-axis belongs to the root-locus of this system when K is varied from O to infinity? c) Derive the asymptotic angles for the root-locus branches that end in infinity

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

Problem 1e) should say (ignore the part about complex-conjugate poles/zeros ) : 

Setup the equation to determine breakaway/break-in points of the root locus 

 

Given a model of the speed control for the electric motor in an electric powered vehicle with a unity-feedback loop: D(s) G (s) (s² + 4s + 5) G(s) (s + 1)(s +2)(s + 3) D(s) = K (K >0) a) If K = 1, what is the steady-state error of the closed-loop system ess for a unit-step input? What types of compensators could we use (name at least 2) to reduce ess to below some specified percentage (say 1%)? Briefly discuss pros/cons of using those types of compensators for this system (and in general) – in 1 or 2 sentences. If we used a lag-compensator, would we be able to reduce ess to unit-step input to 0? What type of compensator would we have to use to guarantee steady-state error ess to unit-step input is 0? b) What part of the real-axis belongs to the root-locus of this system when K is varied from O to infinity? c) Derive the asymptotic angles for the root-locus branches that end in infinity d) Determine the departure/arrival angles for the appropriate branches of the root-locus. e) Setup the equation to determine breakaway/break-in points of the root locus related to complex conjugate poles/zeros (do not solve!) f) For what values of K will the closed-loop system be stable? g) Sketch the root-locus (assume break-away point is at approximately s= -1.5,
Transcribed Image Text:Given a model of the speed control for the electric motor in an electric powered vehicle with a unity-feedback loop: D(s) G (s) (s² + 4s + 5) G(s) (s + 1)(s +2)(s + 3) D(s) = K (K >0) a) If K = 1, what is the steady-state error of the closed-loop system ess for a unit-step input? What types of compensators could we use (name at least 2) to reduce ess to below some specified percentage (say 1%)? Briefly discuss pros/cons of using those types of compensators for this system (and in general) – in 1 or 2 sentences. If we used a lag-compensator, would we be able to reduce ess to unit-step input to 0? What type of compensator would we have to use to guarantee steady-state error ess to unit-step input is 0? b) What part of the real-axis belongs to the root-locus of this system when K is varied from O to infinity? c) Derive the asymptotic angles for the root-locus branches that end in infinity d) Determine the departure/arrival angles for the appropriate branches of the root-locus. e) Setup the equation to determine breakaway/break-in points of the root locus related to complex conjugate poles/zeros (do not solve!) f) For what values of K will the closed-loop system be stable? g) Sketch the root-locus (assume break-away point is at approximately s= -1.5,
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Latches and Flip-Flops
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS