Introduction to multivariable feedback control theory in both time and frequency domain. Topics include model-based control, optimal control and estimation, H-infinity and robust control, multi-objective control synthesis via convex optimization, and adaptive model reference control. Prerequisites/Corequisites: MAE 4780 or MAE 5780, ECE 5210 or permission of instructor; strong background in classical control, linear algebra, and state space models.
- Introduction and Motivation
System and control terminology
Multivariable control scope and applications
From modern to post-modern control methods
- Modeling Dynamic Systems for Control
Case studies in mechanical, electro-mechanical, and aerospace systems
- Dynamic System Representation and Analysis
State-space form and transfer function matrix
Transition matrix approach
Controllability and observability
Case studies in mechanical and aerospace systems
- Optimal Control and Estimation
Optimal state estimation and duality
Case studies in implicit-model following and LQG
- Robust Control
H-infinity standard plant and design
LMI and IQC theory and terminology
- Adaptive Control
Model-reference adaptive systems (MRAS)
The MIT rule
MRAS design via Lyapunov theory
- Independent Project
Model predictive control
Sliding model control
Applications in aerospace and automotive engineering
Available at the Cornell University Library
- Bernard Friedland, Control System Design: An Introduction to
State-Space Methods, Dover, Mineola, NY, 2005.
- Katsuhiko Ogata, MATLAB for Control Engineers, Prentice Hall, NJ, 2008.
- H. K. Khalil, Nonlinear Systems, Third Ed., Prentice Hall, 2002.
- R. F. Stengel, Optimal Control and Estimation, Dover Publications, 1994.
- D. E. Kirk, Optimal Control Theory; an Introduction, Prentice-Hall, 1970.
- R. A. Hyde, H-infinity Aerospace Control Design: A VSTOL Flight Application, Advances in Industrial Control, Springer, 1995.
- K. J. Astrom and B. Wittenmark, Adaptive Control, II Edition, Addison Wesley, 1995.
- R. J. Vanderbei, Linear Programming: Foundations and Extensions, Kluwer, 1997.
- Gilbert Strang, Linear Algebra and its Applications, Academic Press, NY, 1980.
- Michael D. Greenberg, Advanced Engineering Mathematics,
Prentice-Hall, NJ, 1998.
- Silvia Ferrari, Room 543 Upson Hall, Monday and Wednesday, 1:00-3:00 p.m.
Additional information are posted on the Cornell University Blackboard site, available at: https://blackboard.cornell.edu
For any other questions, contact Prof. Ferrari or the Teaching Assistants.
Last updated on January 20, 2018, firstname.lastname@example.org