Module 5: Stability Analysis via the Routh-Hurwitz Criterion

Lectures

Folder description

Please click the folder link above to access the Module 5 instructional content. Module 5 contains three video lectures that present the following topics:

System Stability (5A)
The Routh-Hurwitz Criterion; Stability Test (5B)
Applying The Routh-Hurwitz Criterion” (5C)

Technical

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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:

Assess the stability of a system based on the coefficients of a characteristic equation.
Build the Routh Array based on a given characteristic equation.
Apply the Routh-Hurwitz Criterion to assess the stability or instability of a system.
Apply the Routh-Hurwitz Criterion to ascertain the value of an unknown characteristic equation parameter such as to ensure stability.

How to Complete This Module:

View Lecture 5A (“System Stability”).
View Lecture 5B (“The Routh-Hurwitz Criterion; Stability Test”).
View Lecture 5C (“Applying The Routh-Hurwitz Criterion”).
Complete the assigned reading: Read Chapter 2, sections 2.8-2.15 in the 9th Ed. of the textbook (all of Chapter 6 in the 8th-Ed.).
Complete the Module 5 Practice Assignment.
Take part in the Module 5 Discussion.

Technical

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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 5 (all)
- (Or, Chapter 2, sections 2.8-2.15 in the 9th Ed. of the textbook.)

Technical

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Module 5 Practice Assignment

Cell description

Instructions: Download and print the Module 5 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_M5Assignment (example: Palumbo_Neil_M5Assignment).

Technical

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Module 5 Discussion

Cell description

Students should respond to the following prompt and respond to at least two classmate’s post as well. The first two rows of Routh's tabulation of a fourth-order system are:

s4: 11 0 5 s3: 2 2 0

Therefore, the number of roots of the system lying in the right half of s-plane is:

[A] 0 [B] 2 [C] 3 [D] 4

Discuss your thinking and approach to arriving at your answer.If you are still having difficulty with a topic/concept, please elaborate so that I and/or your classmates can assist you.

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Module 5 Practice Assignment Solutions

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Please click on the above link to review the solutions to the Module 5 Practice Assignment problems.

To be released on first day of Module 6.

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Module 5 Discussion Solution

Cell description

Please click on the above link to review the solutions to the Module 5 Discussion solution.

To be released on first day of Module 6.

Technical

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file_0.pdf
./attachments/cell_326/file_0.pdf