{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MIT6_241JS11_lec01

MIT6_241JS11_lec01 - 6.241 Dynamic Systems and Control...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
6.241 Dynamic Systems and Control Lecture 1: Introduction, linear algebra review Readings: DDV, Chapter 1 Emilio Frazzoli Aeronautics and Astronautics Massachusetts Institute of Technology February 2, 2011 E. Frazzoli (MIT) Lecture 1: Introduction Feb 2, 2011 1 / 22
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Outline 1 2 Syllabus review Linear Algebra Review E. Frazzoli (MIT) Lecture 1: Introduction Feb 2, 2011 2 / 22
Image of page 2
Course Objectives The course addresses dynamic systems , i.e., systems that evolve with time. Typically these systems have inputs and outputs: it is of interest to understand how the input affects the output (or, vice-versa, what inputs should be given to generate a desired output). In particular, we will concentrate on systems that can be modeled by Ordinary Differential Equations (ODEs) , and that satisfy certain linearity and time-invariance conditions . In general, we will consider systems with multiple inputs and multiple outputs (MIMO). We will analyze the response of these systems to inputs and initial conditions: for example, stability and performance issues will be addressed. It is of particular interest to analyze systems obtained as interconnections (e.g., feedback) of two or more other systems. We will learn how to design (control) systems that ensure desirable properties (e.g., stability, performance) of the interconnection with a given dynamic system. E. Frazzoli (MIT) Lecture 1: Introduction Feb 2, 2011 3 / 22
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Course Outline The course will be structured in several major sections: A review of linear algebra, and of least squares problems. Representation, structure, and behavior of multi-input, multi-output (MIMO) linear time-invariant (LTI) systems. Robust Stability and Performance. Approaches to optimal and robust control design. Hopefully, the material learned in this course will form a valuable foundation for further work in systems, control, estimation, identification, signal processing, and communications. E. Frazzoli (MIT) Lecture 1: Introduction Feb 2, 2011 4 / 22
Image of page 4
Assignments Homework Generally handed out every Wednesday, and due in class a week later (except as noted on schedule), at which time solutions will be handed out. Tests There will be two exams: Midterm Exam, March 16, TBC (take home?) Final Exam (during final exam week) Grading The course grade will depend on: (a) your involvement in the subject (30%), as evidenced mainly by your homework, but also by your interaction with the TAs and instructor; (b) your performance on the the midterm exam (30%), and the final exam (40%). E. Frazzoli (MIT) Lecture 1: Introduction Feb 2, 2011 6 / 22
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Notes and Texts There is no required text . Lecture notes are required and available in the Readings section of the OCW site.
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern