EEL - 6617 Linear Multivariable Control

Instructor: Dr. Jacob Hammer
Office: EB 563.
Email: hammer@mst.ufl.edu
Web site: http://mst.ufl.edu (the web site will include homework assignments)
Office Hours: MWF 3:50-4:30PM.

Objective: A course on the transfer matrix theory of linear multivariable systems. The course will cover the theory of linear feedback control systems, using transfer matrices as the basic description of a system. The main control theoretic topics will be stabilization and pole assignment for multivariable systems.

Structure of the course: The course will be divided into two main parts. The first part will consist of Mathematical background, and the second part of control theoretic material. The necessary mathematical background will be completely covered in the course.

Syllabus:
The algebraic theory of transfer matrices; Canonical forms (5 weeks).
Integer invariants (Controllability and Observability indices) (2 weeks).
Internal stability of composite systems (1 week).
Model matching and stabilization of linear systems (2 weeks).
State feedback and the Rosenbrock Theorem (2 weeks).
Input/output assignment of invariant factors (2 weeks).

Prerequisites: Elementary Linear Algebra.

References: The course has no specific textbook, and will be based solely on the lectures in class. The following books may be used as reference.

T. Kailath, "Linear systems", Prentice-Hall, NJ, 1980 (Chapters 6, 7, 8).
C.C. MacDuffee, "The theory of matrices", Chelsea Publishing Company, NY.
H.H. Rosenbrock, "State space and multivariable theory", John Wiley and Sons, NY.

Homework: Homework sheets will be distributed from time to time.

Tests: There will be one midterm test (35% of grade) and one final comprehensive test (55% of grade). The tests will consist mostly of problems similar to ones that have either been previously assigned as homework problems or were given as examples in class. For this reason, the exams will be with no materials.

Grade: The grade for the course will be determined as follows: 10% homework, 35% midterm exam, 55% final exam. As the tests consist mostly of homework problems and class examples, the grade will, to a large extent, be determined by the homework.