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.)
Instructor(s)
Prof. Emilio Frazzoli
Prof. Munther Dahleh
MIT Course Number
6.241J / 16.338J
As Taught In
Spring 2011
Level
Graduate
Course Description
Course Features
- Online textbooks
- Selected lecture notes
- Assignments: problem sets with solutions
- Exams (no solutions)
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 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.
