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Unformatted text preview: 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 Outline 1 2 Syllabus review Linear Algebra Review E. Frazzoli (MIT) Lecture 1: Introduction Feb 2, 2011 2 / 22 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, viceversa, 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 timeinvariance 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 1 2 3 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 multiinput, multioutput (MIMO) linear timeinvariant (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 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%)....
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This note was uploaded on 01/12/2012 for the course ECE 6.241j taught by Professor Prof.emiliofrazzoli during the Spring '11 term at MIT.
 Spring '11
 Prof.EmilioFrazzoli

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