Instructor Class Description

Time Schedule:

• Summer Quarter 2008
• Autumn Quarter 2008

Uy-Loi Ly
A A 547
Seattle Campus

Linear Systems Theory

Linearity, linearization, finite dimensionality, time-varying vs. time-invariant linear systems, interconnection of linear systems, functional/structural descriptions of linear systems, system zeros and invertibility, linear system stability, system norms, state transition, matrix exponentials, controllability and observability, realization theory. Prerequisite: either A A 447, E E 447 or M E 471. Offered: jointly with E E 547/M E 547; A

Class description

Dynamic analysis of automatic control systems using state variable methods. Vector space concepts, modeling of physical systems in state-space format. Canonical forms for continuous and discrete-time systems. Controllability and observability. Zeros and poles of multivariable systems. System invertibility.

(1) Develop linear dynamical systems from nonlinear dynamic models. (2) Evaluate input/output system properties: controllability, observability. (3) Perform Kalman canonical transformations. (4) Evaluate multivariable system poles and zeros. (5) Determine system invertibility.

Student learning goals

General method of instruction

Lecture, Tutorial session.

Recommended preparation

Linear ordinary differential equation, matrix algebra, introductory feedback control theory, Matlab, Maple or Mathematica.

Class assignments and grading

Homework due weekly.

Homework, midterm and final exam.

Office of the Registrar
For problems and questions about this web page contact icd@u.washington.edu,
otherwise contact the instructor or department directly.
Modified:June 21, 2008