This course examines advanced multivariable control system design methodologies and how the available techniques are applied to produce practical system designs. Both the underlying theories and the use of Matlab to synthesize and analyze feedback designs are covered. We start with control problem formulations that capture performance and stability robustness objectives in the face of system parameter uncertainties and unknown disturbances. Specific design techniques include the linear quadratic regulator, the linear quadratic gaussian regulator with loop transfer recovery, H-infinity design, and mu-synthesis. Nonlinear techniques such as sliding mode control and feedback linearization are introduced as well as adaptive control methods that apply supervised learning while ensuring stability via Lyapunov analysis. Weekly assignments will include graded homework problems and Matlab exercises to practice the covered design and analysis methods.
The course materials are divided into modules which can be accessed by clicking Course Modules on the course menu. A module will have several sections including the overview, content, readings, discussions, and assignments. You are encouraged to preview all sections of the module before starting. There are weekly lectures, though the associated assignments cover two (2) week periods. You should regularly check the Calendar and Announcements for assignment due dates.
To understand the theoretical foundations and apply advanced control design techniques to multi-input, multi-output dynamic systems. Additionally, assess the stability and robustness properties of the designed systems as well as understand the conditions that allow effective application of the covered design techniques.
There is no required textbook. However, the following references may be used to expand lecture content.
Primary Reference: Burl, J. B. (1999). Linear optimal control: H2 and H∞ methods. Addison-Wesley.
Supplementary References:Robust Control:MATLAB
You will need access to a recent version of MATLAB including the Control System Toolbox and the Robust Control Toolbox. A license is provided at no cost to you through JHU. Visit the JHU IT Services Portal. Log in with your JHED ID and type “MATLAB” in the search bar. Click on “MATLAB for Students” in the search results and follow the instructions provided.
Each module is expected to take approximately 7–10 hours per week to complete. Here is an approximate breakdown:
Assignments are due according to the dates posted in your Blackboard course site. You may check these due dates in the Course Calendar or the Assignments in the corresponding modules.We will post grades within week after assignment due dates.
A grade of A indicates achievement of consistent excellence and distinction throughout the course—that is, conspicuous excellence in all aspects of assignments and discussion in every week.
A grade of B indicates work that meets all course requirements on a level appropriate for graduate academic work. These criteria apply to both undergraduates and graduate students taking the course.
EP uses a +/- grading system (see “Grading System”, Graduate Programs catalog, p. 10).
100-98 = A+
97-94 = A
93-90 = A−
89-87 = B+
86-83 = B
82-80 = B−
79-77 = C+
76-73 = C
72-70 = C−
69-67 = D+
66-63 = D
<63 = F
Final grades will be determined by the following weighting:
| Assignment | % of Total Grade |
| MATLAB Exercises | 10 |
| Discussion Participation | 5 |
| Assignments | 75 |
| Project | 10 |
Deadlines for Adding, Dropping and Withdrawing from Courses
Students may add a course up to one week after the start of the term for that particular course. Students may drop courses according to the drop deadlines outlined in the EP academic calendar (https://ep.jhu.edu/student-services/academic-calendar/). Between the 6th week of the class and prior to the final withdrawal deadline, a student may withdraw from a course with a W on their academic record. A record of the course will remain on the academic record with a W appearing in the grade column to indicate that the student registered and withdrew from the course.
Academic Misconduct Policy
All students are required to read, know, and comply with the Johns Hopkins University Krieger School of Arts and Sciences (KSAS) / Whiting School of Engineering (WSE) Procedures for Handling Allegations of Misconduct by Full-Time and Part-Time Graduate Students. This policy prohibits academic misconduct, including but not limited to the following: cheating or facilitating cheating; plagiarism; reuse of assignments; unauthorized collaboration; alteration of graded assignments; and unfair competition. Course materials (old assignments, texts, or examinations, etc.) should not be shared unless authorized by the course instructor. Any questions related to this policy should be directed to EP’s academic integrity officer at ep-academic-integrity@jhu.edu.
Students with Disabilities - Accommodations and Accessibility
Johns Hopkins University is committed to providing welcoming, equitable, and accessible educational experiences for all students. If disability accommodations are needed for this course, students should request accommodations through Student Disability Services (SDS) as early as possible to provide time for effective communication and arrangements. For further information about this process, please refer to the SDS Website.
Student Conduct Code
The fundamental purpose of the JHU regulation of student conduct is to promote and to protect the health, safety, welfare, property, and rights of all members of the University community as well as to promote the orderly operation of the University and to safeguard its property and facilities. As members of the University community, students accept certain responsibilities which support the educational mission and create an environment in which all students are afforded the same opportunity to succeed academically. For a full description of the code please visit the following website: https://studentaffairs.jhu.edu/policies-guidelines/student-code/
Classroom Climate
JHU is committed to creating a classroom environment that values the diversity of experiences and perspectives that all students bring. Everyone has the right to be treated with dignity and respect. Fostering an inclusive climate is important. Research and experience show that students who interact with peers who are different from themselves learn new things and experience tangible educational outcomes. At no time in this learning process should someone be singled out or treated unequally on the basis of any seen or unseen part of their identity. If you have concerns in this course about harassment, discrimination, or any unequal treatment, or if you seek accommodations or resources, please reach out to the course instructor directly. Reporting will never impact your course grade. You may also share concerns with your program chair, the Assistant Dean for Diversity and Inclusion, or the Office of Institutional Equity. In handling reports, people will protect your privacy as much as possible, but faculty and staff are required to officially report information for some cases (e.g. sexual harassment).
Course Auditing
When a student enrolls in an EP course with “audit” status, the student must reach an understanding with the instructor as to what is required to earn the “audit.” If the student does not meet those expectations, the instructor must notify the EP Registration Team [EP-Registration@exchange.johnshopkins.edu] in order for the student to be retroactively dropped or withdrawn from the course (depending on when the "audit" was requested and in accordance with EP registration deadlines). All lecture content will remain accessible to auditing students, but access to all other course material is left to the discretion of the instructor.