AA-EE-ME 548 Linear Multivariable Control
Instructor: Mehran Mesbahi
HW#1 (Due 1/26/2011): 2.2, 2.3, 2.4, 2.5, 2.10, 2.11
HW#2 (Due 2/2/2011): 2.12, 3.1, 3.2, 3.6
HW#3 (Due 2/16/2011): 4.1, 4.2, 4.4, 4.6, 6.2, 6.6
HW#4 (Due 3/9/2011): 5.4, 6.5, 7.1,7.3, 7.7, 7.8
Theme: The course is on linear multivariable control with a particular emphasis on controller synthesis using linear quadratic (LQ) methods. The LQ methodology is one of the cornerstones of system and control theory from various point of views, including its historical significance, practical relevance, computational tractability, as well as its mathematically beauty. In this course we will aim to touch upon some of the facets of LQ methods in order to gain a better understanding of the theoretical, computational, and practical challenges of dynamic system analysis and controller synthesis.
Topics: The topics to be covered include: relevant material on linear system theory (e.g., controllability, observability), followed by dynamic programming, Hamilton-Jacobi-Bellman equation, Riccati equation, Lyapunov theory, computational issues, disturbance rejection, Linear Quadratic Gaussian (LQG) framework, robustness issues, H2 problem, LQ games, and applications of the theory.
Midterm will be given out approximately during the second week of February 2011.
The project involves three steps:
The outline of the report is as follows:
- what is the contribution of the paper? what problem is it trying to address?
S. Boyd: http://www.stanford.edu/class/ee363/