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ME 483B: Control Systems

School of Engineering and Science

Fall 2019

 

 

Meeting Times:           Mondays & Wednesdays 12:00pm – 1:15pm

Classroom Location:  EAS 230

Instructor:                   EH Yang        

Contact Info:               Carnegie 206, eyang@stevens.edu, 201-216-5574

Office Hours:              Monday 1:30-3:30pm, Friday 2-4pm

Prerequisite(s):           Multivariable Calculus, MA 227; Dynamics, ME 225

 

COURSE DESCRIPTION

 

Analysis and synthesis of single-input, single-output (SISO), linear time invariant (LTI) feedback control systems. Laplace transforms, transfer functions, poles and zeros, block diagrams, time response, and frequency response. Performance criteria, multi-domain systems modeling, Routh-Hurwitz stability, root-locus, Bode plots, stability margins, compensator design, applications relevant to mechanical engineers.

 

LEARNING OBJECTIVES

 

After successful completion of this course, students will be able to

·       analyze the transient response in terms of overshoot, rise time, peak, and settling time and develop the Bode plot [SES Outcome 1 Scientific Foundations - an understanding of the scientific and mathematical basis of engineering (ABET Criterion 3-a)];

·       formulate transfer functions from simple mathematical models of physical systems and determine the range of gains for stability and calculate the steady-state value using the final value theorem. [SES Outcome 2 Engineering Foundations - the ability to use applied scientific knowledge (ABET Criterion 3-e)];

·       use an appropriate PD or PI controller to eliminate the steady-state error, while making the transient response of the system reasonable [SES Outcome 2 Engineering Foundations - the ability to use applied scientific knowledge (ABET Criterion 3-e)];

 

FORMAT AND STRUCTURE

 

This course is comprised of bi-weekly lectures.

 

 

 

 

 

COURSE MATERIALS

 

Textbook: Modern Control Engineering (5th Edition) by K. Ogata, Prentice Hall

Reference: Control Systems Engineering (11th Edition) by Norman S. Nise, Wiley (ISBN : 978-1-118-17051-9)

 

 

COURSE REQUIREMENTS

 

Attendance The grade will be pushed down by a letter grade if a student missed 3 classes or more without approval by the instructor. Excused absences (religious or medical, noted in via email to the professor prior to the absence occurring) must be accompanied by proper documentation.

 

Homework There will be 10 homework assignments throughout this course. All homework assignments must be submitted by the assigned date and submitted via CANVAS.

Binary grading scale (0 or 1):

·       0 if not submitted, submitted drastically incomplete, or barely attempted,

·       1 if a reasonable attempt was made on most problems and much seemed correct.

·       Solutions will be provided after grading for detailed student review.

 

Exams There will be 3 scheduled exams throughout the semester. Exams will be graded for accuracy and returned within 3 class periods.

 

Software: Mathworks MATLAB, Simulink

 

 

GRADING PROCEDURES

 

There are 10 possible points that a student can earn in this course. The final grade will be based on the number of points earned out of the number of points possible. Percentages are also listed below.

 

            Homework and pop quizzes                           15%

Exams (1)                                                       20%

Exams (2)                                                       30%

Exams (3)                                                       20%

Design Project                                                15%

 

Notes Policy: Partial lecture slides will be posted to the course website that will purposefully omit certain details and examples that are reserved for discussion during class. These supplemental details will not be posted or distributed by the professor in any manner other than during class lessons. It is the responsibility of each student to take appropriate notes during class to reinforce the material. It is strongly requested that students abstain from recording these supplemental materials via photographs or similar means, unless expressly permitted by the professor.


TESTING ROOM CONDITIONS

The following procedures apply to pop quizzes and exams for this course, respectively. The instructor reserves the right to modify any conditions set forth below by printing revised conditions on the quiz / exam. 

 

Exams

Students may use the indicated devices / materials during exams. Any items not mentioned are not permitted.

 

Device

Permitted?

 

Material

Permitted?

Laptops

 

No

Typed Notes

 

No

Cell Phones

 

No

Textbooks

 

No

Tablets

 

No

Readings

 

No

Smart Watches

 

No

Lecture Slides

 

No

Google Glass

 

No

Printed Documents

 

No

Calculator

·       NOT calculator apps

Yes

 

Handwritten Notes [Cheat Sheet]

·       Original ink/pencil

·       2 sheet, double sided
[4 sides total]

·       8.5” x 11” maximum page size

Yes

 

 

Students are not permitted to work [or communicate] with other students during exams. Sharing of cheat sheets during exams is strictly prohibited.

 

 

ACADEMIC INTEGRITY

 

Undergraduate Honor System

 

Enrollment into the undergraduate class of Stevens Institute of Technology signifies a student's commitment to the Honor System. Accordingly, the provisions of the Stevens Honor System apply to all undergraduate students in coursework and Honor Board proceedings. It is the responsibility of each student to become acquainted with and to uphold the ideals set forth in the Honor System Constitution. More information about the Honor System including the constitution, bylaws, investigative procedures, and the penalty matrix can be found online at  https://web.stevens.edu/honor/ .

The following pledge shall be written in full and signed by every student on all submitted work (including, but not limited to, homework, projects, lab reports, code, quizzes and exams) that is assigned by the course instructor. No work shall be graded unless the pledge is written in full and signed.

I pledge my honor that I have abided by the Stevens Honor System.”

Reporting Honor System Violations Students who believe a violation of the Honor System has been committed should report it within ten business days of the suspected violation. Students have the option to remain anonymous and can report violations online at https://web.stevens.edu/honor/ .


LEARNING ACCOMODATIONS

Stevens Institute of Technology is dedicated to providing appropriate accommodations to students with documented disabilities. The Office of Disability Services (ODS) works with undergraduate and graduate students with learning disabilities, attention deficit-hyperactivity disorders, physical disabilities, sensory impairments, psychiatric disorders, and other such disabilities in order to help students achieve their academic and personal potential. They facilitate equal access to the educational programs and opportunities offered at Stevens and coordinate reasonable accommodations for eligible students. These services are designed to encourage independence and self-advocacy with support from the ODS staff. The ODS staff will facilitate the provision of accommodations on a case-by-case basis.

Students who are granted learning accommodations must coordinate with the professor to coordinate accommodations within a sufficient timeframe. This is the student’s responsibility.

Disability Services Confidentiality Policy

Student Disability Files are kept separate from academic files and are stored in a secure location within the Office of Disability Services. The Family Educational Rights Privacy Act (FERPA, 20 U.S.C. 1232g; 34CFR, Part 99) regulates disclosure of disability documentation and records maintained by Stevens Disability Services. According to this act, prior written consent by the student is required before our Disability Services office may release disability documentation or records to anyone. An exception is made in unusual circumstances, such as the case of health and safety emergencies.

For more information about Disability Services and the process to receive accommodations, visit https://www.stevens.edu/directory/office-disability-services . If you have any questions please contact: Phillip Gehman, the Director of Disability Services Coordinator at Stevens Institute of Technology at pgehman@stevens.edu or by phone (201) 216-3748.

TENTATIVE COURSE SCHEDULE (Fall 2020)

Week Starting

Chapter

Description

HWs

August 26

 

Overview

 

2

Laplace transform

Seating chart

September 2

2

HW#1 due (Laplace transform)

3

Transfer functions and block diagrams

 

September 9

3

Modeling

HW#2 due (Partial fraction expansion)

4

 

September 16

5

Transient and steady-state responses

 

5

HW#3 due (Transfer functions, modeling)

September 23

5

Review (Chapters 2,3,4)

 

 

Exam 1 (Chapters 2,3,4) 

September 30

5

Stability analysis

HW#4 due (Transient response)

5

Steady-state errors, PID Control

 

October 7

5

HW#5 due (Stability)

5

 

October 14

7

Frequency response analysis: Composite functions, simple poles and zeros

HW#6 due (Steady-state error)

7

 

October 21

7

Review (Chapters 5,7a)

HW#7 due (Composite functions)

Exam 2 (Chapter 5,7a)

October 28

7

Frequency response analysis: Bode Diagram

 

7

Frequency response analysis: Stability in frequency domain

 

November 4

7

HW#8 due (Bode diagram)

7

 

November 11

7

Frequency response analysis:

P-control (MATLAB)

HW#9 due (Margins)

7

Frequency response analysis: Phase-lead and –lag designs (MATLAB)

 

November 18

7

 

7

 

November 25

Review (Chapters 7)

HW#10 due (Design)

Thanksgiving recess

December 2

Exam 3 (Chapter 7)

Design Project