ECE Course Outline

ECE6559

Advanced Linear Systems (3-0-3)

Prerequisites
ECE 6550
Corequisites
None
Catalog Description
Study of multivariable linear system theory and robust control design methodologies.
Textbook(s)
Kailath, Linear Systems, Prentice Hall, 1980. ISBN 9780135369616 (required)

Topical Outline
Coprime Factorization and State Space Approaches
     Polynomial matrices and matrix fraction description
     Realization and invariants
     Observability and reachability
     Parametrization of all stabilizing controllers
     State feedback and compensator design
     
Model Order Reduction
     Singular value decomposition
     Balanced realizations
     Reduction by model truncation

Graphical Frequency Response Techniques
     Multivariable root locus
     Multivariable Nyquist criterion

Robust Analysis and Synthesis
     Disturbance and plant uncertainties
     Structured singular value
     Mu synthesis

Extensions
     General differential and polynomial matrix description
     Discrete time periodic systems
     Differential delay systems