Module 6: Time-Domain Analysis

Folder description

Please click the folder link above to access the Module 6 instructional content. Module 6 contains three video lectures that present the following topics:

  1. Introduction to Time Domain Analysis (6A)
  2. Time Domain Analysis: Prototype 2nd-Order System (6B)
  3. Time Domain Analysis: Addition of Poles and Zeros (6C)
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Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

By the end of this module, you will be able to:

  • Compute time-domain specifications like rise time, settling time, and percent overshoot given a prototype second-order system representation.
  • Plot the pole and zero locations of a dynamic system in the s-plane, and interpret the pole / zero locations as compared with s-plane feasible regions that will satisfy time-domain performance specifications.
  • Compute / select the transfer function parameters of the prototype second-order system that will meet time-domain specifications like rise time, settling time and percent overshoot.
  • Assess a high-order system transfer function to ascertain the dominant pole s-plane region.
  • Given a high-order system transfer function, determine the dominant poles, and develop a lower-order representation of the system based on the dominant pole locations and steady state response characteristics.

How to Complete This Module:

  1. View Lecture 6A (“Introduction to Time Domain Analysis”).
  2. View Lecture 6B (“Time Domain Analysis: Prototype 2nd-Order System”).
  3. View Lecture 6C (“Time Domain Analysis: Addition of Poles and Zeros”).
  4. Complete the assigned reading: Read Ch 5 (7 in 8th-Ed.) Sections 5-1 through 5-3, 5-5 through 5-12 (7-1 through 7-3, 7-6, 7-7 in 8th-Ed.).
  5. Complete the Module 6 Practice Assignment.
  6. Take part in the Module 6 Discussion.
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Readings

Cell description

To access EReserves readings, click the Readings title above or EReserves on the course menu.

This week's reading assignment includes the following:

  • Golnaraghi, Farid, and Benjamin C. Kuo.  Automatic Control Systems (10th Edition).
    • Chapter 7, Sections 7.1-7.5
    • (Or, Ch 5 Sections 5-1 through 5-3, 5-5 through 5-12 in the 9th Edition.)
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Module 6 Practice Assignment

Cell description

Instructions: Download and print the Module 6 Practice Assignment PDF, complete by hand, and then scan and upload your final document to the Blackboard course site.  Please ensure that your scan is of readable quality and oriented in the proper direction for reading.  All final submittals are to be in PDF format.

Submit your file using the following naming structure: Lastname_Firstname_M6Assignment (example: Palumbo_Neil_M6Assignment).

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Module 6 Discussion

Cell description

Students should respond to the following prompt and respond to at least two classmate’s post as well.

Suppose you have the closed-loop transfer function given below, and the parameters of this transfer function are as shown.  

Would the system transient behavior look like a second-order system? Discuss why or why not.  

Share another set of parameters with your classmates that would cause this system to behave like a first-order system and explain how/why you selected them.

If you are still having difficulty with a topic/concept, please elaborate so that I and/or your classmates can assist you.

Technical
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Module 6 Practice Assignment Solutions

Cell description

Please click on the above link to review the solutions to the Module 6 Practice Assignment problems.

To be released on first day of Module 7.

Technical
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Module 6 Discussion Solution

Cell description

Please click on the above link to review the solutions to the Module 6 Discussion solution.

To be released on first day of Module 7.

Technical
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