Dynamic Systems and Control

Calendar

LEC #	TOPICS	KEY DATES
1	Introduction to dynamic systems and control, matrix algebra
2	Least squares error solutions of overdetermined / underdetermined systems
3	Matrix norms, SVD, matrix perturbations	Homework 1 due
4	Matrix perturbations
5	State-space models, linearity and time invariance	Homework 2 due
6	Solutions of state-space models
7	Similarity transformations, modes of LTI systems, Laplace transform, transfer functions	Homework 3 due
8	Stability, Lyapunov methods
9	External I/O stability, storage functions	Homework 4 due
10	Interconnected systems, feedback, I/O stability
11	System norms	Homework 5 due
12	Performance measures in feedback control
13	Small gain theorem, stability robustness	Midterm exam (take-home) due 2 days after Lecture 13
14	Stability robustness (MIMO)	Homework 6 due
15	Reachability
16	Reachability: standard and canonical forms, modal tests
17	Observability	Homework 7 due
18	Minimality, realization, Kalman decomposition, model reduction
19	State feedback, observers, output feedback, MIMO poles and zeros	Homework 8 due
20	Minimality of interconnections, pole/zero cancellations	Homework 9 due
21	Parameterization of all stabilizing controllers
22	Optimal control synthesis: problem setup	Homework 10 due
23	H2 optimization
24	H∞ optimization	Homework 11 due