UW ME 547 Linear Systems
Introduction
ME547 is a firstyear graduate course on modern control systems focusing on: statespace description of dynamic systems, linear algebra for controls, solutions of statespace systems, discretetime models, stability, controllability and observability, statefeedback control, observers, observer state feedback controls, and when time allows, linear quadratic optimal controls. ME547 is a prerequisite to most advanced graduate control courses in the UW ME department.
Prerequisites
 Undergraduate controls from, e.g., UW ME 471 or ME 545
 Engineering mathematics including calculus, linear algebra, and ordinary differential equations from, e.g., ME 564 Mechanical Engineering Analysis or EE 510 (can be taken concurrently)
Textbook
 Xu Chen and Masayoshi Tomizuka, “Introduction to Modern Controls – with Illustrations in MATLAB and Python,” 2023, ISBN: 9798860587496.
Lecture notes
 Singlefile course reader from 2024: TBA
 Singlefile course reader from 2022
 Review of linear algebra for controls: notes, slides
Reference
Lectures
 Lecture 1
 Lecture 2
 Lecture 3
 Reading and extension: Chapters 13
 Lecture 4
 Lecture 5
 Reading and extension: Chapters 45
 Lectures 67
 Reading and extension: Chapter 6
 Lecture 8
 Reading and extension: Chapter 7
 Lecture 9
 Lectures 1011
 Reading and extension: Chapter 8
 Lecture 12
 Reading and extension: Chapter 9
 Lectures 1314
 Reading and extension: Chapters 10, 11
 Lectures 1516
 Reading and extension: Chapter 12
 Lectures 1718
 Reading and extension: Chapter 13
Youtube Lecture List
Additional References

Linear Systems Theory and Design (4th Ed) by ChiTsong Chen, Oxford University Press

Joao P. Hespanha, Linear Systems Theory, Princeton, 2009

William L. Brogan, Modern Control Theory, 3rd Ed., Prentice Hall.

P. J. Antsaklis and A. N. Michel, Linear Systems, McGraw Hill.