6.241J | Spring 2011 | Graduate

Dynamic Systems and Control

Course Description

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 …

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.

We will analyze the response of these systems to inputs and initial conditions. 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.

Learning Resource Types
Problem Sets with Solutions
Exams
Lecture Notes
Online Textbook
Two graphs of the Nyquist criterion and robust stability.
Relation of Nyquist criterion and robust stability. See Chapter 20 in the Readings section for more details. (Image from course notes, by Mohammed Dahleh, Munther A. Dahleh, and George Verghese.)