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.
Lecture notes
 Singlefile course reader
 Review of linear algebra for controls: notes, slides
Reference
 [CTC]: Linear Systems Theory and Design (4th Ed) by ChiTsong Chen, Oxford University Press
 Matlab Control Turorial
 Python Control Toolbox
Lectures
 Week 1
 The power of controls
 Basic concepts
 Modeling of dynamic systems
 Laplace transform
 Inverse Laplace transform
 Z transform
 Inverse Z transform
 Reading and extension: Chaps 1 & 2 of CTC
 Discussion notes
 Week 2
 Introduction to the state space
 From the state space to transfer functions
 Statespace system representations
 Reading and extension: Chaps 2, 4.3 & 4.4 of CTC
 Discussion notes
 Week 3
 Solution of state equations
 Reading and extension: Chaps 3 & 4 of CTC
 Discussion notes
 Week 4
 Week 56
 Stability II: Lyapunov’s approach to stability
 Stability II: Lyapunov Equation, discretetime systems
 Reading and extension: Chap 5.3 of CTC
 Midterm review
 Discussion notes: Lyapunov stability
 Week 7
 Controllability and observability
 Reading and extension: Chap 6 of CTC
 Discussion notes
 Week 8
 Kalman Decomposition
 State feedback
 Reading and extension: Chap 8 of CTC
 Discussion notes
 Week 9
 Observers and observerstate feedback
 Reading and extension: Chap 8 of CTC
 Discussion notes
 Week 10
Youtube Lecture List
Additional References

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.