A networked control system consists of a set of dynamical units that interact over a signal exchange network for its coordinated operation and behavior. Such systems have found many applications in diverse areas of science and engineering, including multiple space, air, land, and underwater vehicles, energy and power systems, physiology, and medicine.
COURSE WEBSITE
This page: http://users.ece.gatech.edu/~magnus/ece8823.html
WORKLOAD
Your responsibilities in this class will fall into two main categories:
1. The homework sets (one problem set roughly every third week) = 50%. The credit will be divided between programming assignments and theoretical exercises. The last
homework will be project-based and will involve all the tools developed in the course, as shown below.
PROGRAMMING
The objective with the programming assignments is to see how to bridge the gap between what is done in class and how to actually apply it. The assignments will be Matlab-based.
READING
The course textbook is Mehran Mesbahi and Magnus Egerstedt, Graph Theoretic Methods in Multiagent Networks, Princeton University Press, 2010. (See http://press.princeton.edu/titles/9230.html.)
The textbook will be supplemented with some suggested reading material, e.g.,
Distributed Control of Robotic Networks, by F. Bullo, J. Cortes, and S. Martinez, Princeton, 2009.
Algebraic Graph Theory, by C. Godsil and G. Royle, Springer, 2001.
Networked Embedded Sensing and Control, edited by P. J. Antsaklis and P. Tabuada, Springer 2006.
TIME AND PLACE
The lectures will be held at 12:00-1:30 Tuesdays and Thursdays in Van Leer C241.
PREREQUISITS
There are no formal prerequsits beyond graduate standing, but some knowledge of linear algebra, linear control systems, and differential equations will certainly make your life a little easier. For example, ECE6550 would be the perfect background for this course.
HONOR CODE
Altough you are encouraged to work together to learn the course material, the exams and homeworks are expected to be completed individually. All conduct in this course will be governed by the Georgia Tech honor code.
SCHEDULE
| Date | Lecture subject | Reading/Homework |
| Aug. 23 | What are networked control systems? | §1 |
| Aug. 25 | Rendezvous: A canonical problem | §1 |
| GRAPH-BASED NETWORK MODELS | ||
| Aug. 30 | Proximity graphs | §2 |
| Sept. 1 | Algebraic and spectral graph theory | §2 |
| Sept. 6 | Connectivity: Cheeger's inequality | §2 |
| THE AGREEMENT PROTOCOL: STATIC CASE | ||
| Sept. 8 | Reaching decentralized agreements | §3 |
| Sept. 13 | Consensus equation: Static case | §3, HW1 (graph theory) |
| Sept. 15 | Leader networks and distributed estimation | |
| Sept. 20 | Discrete time consensus | §3 |
| THE AGREEMENT PROTOCOL: DYNAMIC CASE | ||
| Sept. 22 | Switched networks | §4 |
| Sept. 27 | Lyapunov-based stability | §4, HW2 (static consensus) |
| Sept. 29 | Consensus equation: Dynamic case | §4,7 |
| Oct. 4 | Biological models: Flocking and swarming | |
| Oct. 6 | Alignment and Kuramoto's coupled oscillators | |
| Oct. 11 | Review | |
| Oct. 13 | MIDTERM | |
| Oct. 18 | Fall recess - NO CLASS | |
| MULTI-AGENT ROBOTICS | ||
| Oct. 20 | Formations | §6 |
| Oct. 25 | Graph rigidity | §6, HW3 (dynamic consensus) |
| Oct. 27 | Persistence | §6 |
| Nov. 1 | Formation control | §6 |
| Nov. 3 | Leader-follower networks | §10 |
| Nov. 8 | Network controllability | §10 |
| Nov. 10 | Network feedback | §10, HW4 (formation control) |
| MOBILE SENSOR AND COMMUNICATION NETWORKS | ||
| Nov. 15 | Sensor networks: Coverage control | §7 |
| Nov. 17 | Gabriel and Voronoi graphs | §7 |
| Nov. 22 | Communication models | §5 |
| Nov. 24 | Thanksgiving - NO CLASS | |
| Nov. 29 | Random graphs | §5 |
| Dec. 1 | LANdroids: Communication networks | HW5 (project) |
| Dec. 6 | At the research frontier | |
| Dec. 8 | Review | |
| Dec. 15 | FINAL EXAM: 11:30-2:20 |