UW ME 547 Linear Systems
Introduction
ME547 is a first-year graduate course on modern control systems focusing on: state-space description of dynamic systems, linear algebra for controls, solutions of state-space systems, discrete-time models, stability, controllability and observability, state-feedback 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
- Single-file course reader
- “Essentials of Modern Controls,” Course Pack for ME 547, available for purchase at the University Bookstore, 4326 University Way NE, Seattle, WA 98105
- Review of linear algebra for controls: notes, slides
Reference
- Linear Systems Theory and Design (4th Ed) by Chi-Tsong 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: Course Pack Chapters 1-3
- Week 2
- Introduction to the state space
- From the state space to transfer functions
- State-space system representations
- Reading and extension: Course Pack Chapters 4-5
- Week 3
- Solution of state equations
- Reading and extension: Course Pack Chapter 6
- Week 4
- Discretization of state-space systems
- Discretization of transfer functions
- Stability I: the method of eigenvalue/pole locations
- Reading and extension: Course Pack Chapters 7, 8.1, 8.2
- Week 5-6
- Reading and extension: Course Pack Chapter 8
- Week 7
- Controllability and observability
- Reading and extension: Course Pack Chapter 9
- Week 8
- Kalman Decomposition
- State feedback
- Reading and extension: Course Pack Chapters 10, 11
- Week 9
- Observers and observer-state feedback
- Reading and extension: Course Pack Chapter 12
- Week 10
- linear quadratic optimal control
- Reading and extension: Course Pack Chapter 13
Youtube Lecture List
Additional References
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Joao P. Hespanha, Linear Systems Theory, Princeton, 2009
-
William L. Brogan, Modern Control Theory, 3rd Ed., Prentice Hall.
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P. J. Antsaklis and A. N. Michel, Linear Systems, McGraw Hill.