Time Schedule:
Linda Bushnell
E E 547
Seattle Campus
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 A A 547/M E 547.
Class description
2 parts to the class: lecture and laboratory.
Topics to be covered: System Representation: state space linearization causality, time invariance, and linearity impulse response and transfer function of state space solutions to LTV systems solutions to LTI systems
Stability: Lyapunov IO BIBO
Controllability and State Feedback: controllable subspaces controllable systems controllable decompositions stabilizability
Observability and Output Feedback: observability output feedback minimal realizations
Student learning goals
How to use Matlab, Simulink and Control Systems Toolbox functions.
How to linearize a nonlinear system around an equilibrium point and put the mathematical representation into state space form.
How to analyze a linear system to see if it is controllable.
How to analyze a linear system to see if it is observable.
How to analyze a linear system to see if it is stable.
General method of instruction
Lecture for 2.5 hours. Laboratory for 1.5 hours.
Recommended preparation
Do Homework 0. Review Matlab, Simulink.
Class assignments and grading
Homeworks Midterm Final Individual project
Grading: Homework 30% Midterm (Nov 2, 1 hour in class) 20% Project 25% Final (Dec. 14, 8:30pm - 10:20pm, EEB 045) 25%
