ECE Course Outline

ECE6550

Linear Systems and Controls (3-0-3)

Prerequisites
None
Corequisites
None
Catalog Description
Introduction to linear system theory and feedback control. Topics include state space representation, controllability and observability, linear feedback control.
Textbook(s)
Thomas Kailath, Linear Systems, Prentice Hall, 1980. ISBN 9780135369616(optional)

Topical Outline
Review of Input/Output System Models (1 week)
     Basic System Properties (linearity, time invariance, etc.)
     Transfer Functions for Continuous and Discrete-Time Systems
     Stability

State Space Representation (6 weeks)
     State Equations (continuous and discrete-time)
     Solutions to State Equations
     System Equivalence
     Canonical Forms (diagonal form, control canonical form, etc.)
     Realizations
     Stability
     Linearization

Controllability and Observability (1 week)
     Controllability and Observability Grammians
     Rank Tests

Linear Feedback Control (6 weeks)
     Pole Assignment by State Feedback
     LQ Control
     Luenberger Observers
     Separation Principle (Estimated State Feedback)
     Fixed-Order Compensators (System Augmentation)
     Introduction to Robust Control