ME 41100 - System Dynamics and Control (Fall 2023)

Course Description

This is a fundamental undergraduate course on the classical theory of dyanmic systems and control. It provides an introduction to mathematical modeling, analysis, and control of linear dynamic systems. The course emphasizes the frequency-domain techniques and the state-space methods for the analysis of linear systems and the synthesis of control laws meeting given design specifications. Some familiarity with linear algebra, as well as ordinary differential equations (ODEs), is strongly recommended, although the necessary material will be reviewed in the context of the course.

Announcement

• According to the Registrar's Final Exam Schedule, the final exam will be on Wednesday, December 20, 10:30am–12:45pm.

• The second midterm will be on Modnday, November 20 in class.

• The second experiment class will be in the 10th week:

  • 3EF: Wednesday, November 1, 2:00PM-4:50PM, Steinman 226

  • 5EF: Friday, November 3, 2:00PM-4:50PM, Steinman 207

• The first midterm will be on Tuesday, October 10 in class.

• The first experiment class will be in the 5th week:

  • 3EF: Wednesday, September 27, 2:00PM-4:50PM, Steinman 226

  • 5EF: Friday, September 29, 2:00PM-4:50PM, Steinman 207

• The first class will be on Monday, August 28.

Course Outline

• Dynamic models and dynamic response

  • Differential equations, transfer functions, poles and zeros, block diagrams, state space models, physical system modeling, time-domain specifications.

• Root locus techniques

  • Root locus method, dynamic compensation using lead and lag networks.

• Frequency response techniques

  • Frequency response, Bode plots, stability margins, Nyquist stability criterion, dynamic compensation.

• State-space design

  • Similarity transformations, controllability, observability, pole placement, estimator design.

Prerequisites

Math 39100 (Differential Equations), Math 39200 (Linear Algebra and Vector Analysis), and ME 31100 (Fundamental of Mechatronics) or equivalent, or consent of instructor.

General Information

• Credits: 4

• Schedule:

  • Lecture: Mon/Wed 11:00AM - 12:15PM, Shepard S-205

  • Lab: (3EF) Wed 2:00PM - 4:50PM, Steinman 226, (5EF) Fri 2:00PM - 4:50PM, Steinman 207

• Instructor: Bo Wang

  • Department of Mechanical Engineering

  • Office: Steinman Hall 247

  • Email: bwang1@ccny.cuny.edu

  • Website: https://bwang-ccny.github.io/ME41100.html

  • Office hours: Mon/Wed 2:00PM - 3:00 PM, Steinman 247

• Homework and lab TA: Shuo Fang

  • Email: shuofang.cuny@gmail.com

  • Office hours: Wed 2:00PM-3:00PM Steinman 226, Fri 2:00PM-3:00PM Steinman 207

Syllabus

This course syllabus will be populated and updated as the semester progresses. All associated readings are from Franklin, Powell, and Emami-Naeini, Feedback Control of Dynamic Systems, Prentice Hall, (FPE), and K. Ogata, System Dynamics, 4th ed., Pearson Prentice Hall, (Ogata). After each class, lecture notes will be uploaded to Blackboard.

Homeworks

Textbooks and Reference Materials

The main textbook for the course will be:

• G. F. Franklin, J. D. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems, Pearson.

The most up-to-date edition of this book is the 8th edition. Previous editions should, for the most part, be fine, as the material will not be substantially different.

Other optional references for the course's materials are:

• K. Ogata, System Dynamics, 4th ed., Pearson Prentice Hall.

• K. Ogata, Modern Control Engineering, 5th ed., Prentice Hall.

• W. Palm III, System Dynamics, 3rd ed., McGraw-Hill.

• R. C. Dorf, R. H. Bishop, Modern Control Systems, 13th ed., Pearson.

Grading Policy

Your grade will be assigned roughly according to the following percentages.

1. Weekly homeworks: 30%

2. Midterms: 20%

3. Final exam: 50%

No late homeworks will be accepted. If answers are not accompanied by satisfactory explanations (e.g., all intermediate steps, clearly readable handwriting), no credit will be given.

CCNY Grading System

Exam Policy

The midterm exams will occur during the course's regular time slot. The final exam will occur during the time slot determined by the Registrar.

Exams will be closed book and closed notes. During exams, you will be allowed to use one reference sheet. Reference sheet must be on a Letter-size paper. Both sides may be used, and the reference sheet must be hand-written.

Academic Integrity

All students are subject to the university's academic integrity policies. Academic dishonesty will not be tolerated in any form. I will strongly adhere to the CUNY Policy on Academic Interity, should the need arise. Instances of academic dishonesty include, but are not limited to

• Copying solutions from other students during homework or during exams.

• Solutions from previous years: It is forbidden to look at or copy solutions for homework from previous years. There are certain questions that are asked from year to year because they are good questions: doing these questions yourself will assist in your understanding of the course material and will be crucial in your in-class tests.

You are encouraged to work with other students on your assignments, and to help other students complete their assignments, provided that you comply with the following conditions:

• Honest representation: The material you turn in for course credit must be a fair representation of your work. You are responsible for understanding and being able to explain and duplicate the work you submit.

• Give help appropriately: When helping someone, it is important not to simply give them a solution, because then they may not understand it fully and will not be able to solve a similar problem next time. It's always important to take the time to help someone think through the problem and develop the solution.

Copyright Policy

All course materials (class lectures and discussions, handouts, examinations, web materials) and the intellectual content of the course itself are protected by United States Federal Copyright Law. Students (and all other persons) are forbiden from recording lectures or discussions and from distributing or selling lectures notes and all other course materials without the prior written permission of the instructor. Students are permitted to make notes solely for their own private educational use. Exceptions to accommodate students with disabilities may be granted with appropriate documentation.