Logo
Home Study Material Contact Search
AI Chat FREE
  1. engineering
  2. mechanical engineering
  3. pd control 1. the equation of motion for the dc mo

PD control 1. The equation of motion for the DC motor are given by the equation: J ¨?m...

60.1K

Verified Solution

Question

Mechanical Engineering

PD control

1. The equation of motion for the DC motor are given by theequation:

J ¨?m + (B + KbKT Ra ) ? ?m = KT Ra Va (2)

where: J = 0.01kg · m2 , B = 0.001N · m · s, KT = 0.02N · m/A,Kb = 0.02V /s and Ra = 10?.

(a) Suppose that feedback is added to the system to achieveposition control of the motor shaft. Given a desired shaft position?r (the reference), the applied voltage is given by a proportionalcontroller:

Va = K(?r ? ?m) (3)

Where K is the feedback gain. Find the transfer function from ?rto ?m

(b) Can you find some value of K that provides a rise time ofless than 4 seconds and keeps the system overshoot less than 20%?Why?

(c) If cannot (for question 2b), can you design a new controllerthat achieve all the requirements in question 2b? Write down yourcontroller and show any work involved.

Answer & Explanation Solved by verified expert
3.8 Ratings (699 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Chemical Process Calculations (Chem Eng Question) Assume the combustion of Butane (C4H10) in air to be complete. a)...

Chemistry
Q

What do illusions tell us about sensory processing? What is the role of proprioception in control...

Biology
Q

What is wrong with the traditional historical geology view that successive petrified fossil forests at Specimen...

Biology
Q

a. Explain the operation of thermodynamic systems i.e. open system and closed system with the aid...

Mechanical Engineering
Q

What cell is haploid O 1 zygote O2 ovum O 3 oogonium 4 primary oocyte...

Biology
Q

4 Many endemic species are found in areas that are geographically isolated Suggest a plausible...

Biology
Q

Option 1 The main social insurance programs like Social Security Medicare and unemployment compensation are...

Basic Math
Q

British Columbia employees must receive ___ as vacation after 5 years of service....

Accounting
Q

QUESTION THREE [20] Motivated is a retailer selling inspirational books. The following information was provided...

Accounting
Q

Robin Company has the following balances for the current month: Direct materials used Direct labor...

Accounting
Q

d. Prepare a multistep income statement and a balance sheet for year 2. ...

Accounting
Q

One of your investment is the American Century Equity Income (TWEIX fund. In October 31,...

Finance