Advanced Linear Systems
(3-0-0-3)
CMPE Degree: This course is Not Applicable for the CMPE degree.
EE Degree: This course is Not Applicable for the EE degree.
Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.
Technical Interest Group(s) / Course Type(s): Systems and Controls
Course Coordinator:
Prerequisites: ECE 6550
Catalog Description
Study of multivariable linear system theory and robust control designmethodologies.
Course Outcomes
Not Applicable
Strategic Performance Indicators (SPIs)
Not Applicable
Topical Outline
1. Algebraic Preliminaries
a. Vector Spaces
b. Modules
c. Linear Transformations
2. State Space and Matrix Fraction Description of MIMO Systems
a. Polynomial Matrices and Matrix Fraction Descriptions
b. Unimodular Transformations, Hermite Form
c. Coprimeness, Smith Form
d. Rational Matrices and Smith-McMillan Form
3. MIMO State Space Realization Theory
a. Shift Operator
b. MIMO Observability and Reachability
c. Realization and Invariants
d. Toeplitz Hankel and Bezout Matrices
4. State Feedback and Compensator Design for MIMO Systems
a. Parametrization of all stabilizing controllers (Youla-Kucera)
b. State Space Analysis
c. Transfer Function Analysis
5. General Differential Systems and Polynomial Matrix Descriptions
a. System Matrices
b. System Equivalence
c. Poles and Zeros of MIMO Systems
6. Model Order Reduction for MIMO Systems
a. Singular value decomposition
b. Balanced realizations
c. Reduction by model truncation
7. Supplements, selected from
a. MIMO Linear Time-variant Systems
b. MIMO Discrete Time Periodic Systems
c. Functional Differential Equations and Differential Delay Systems
d. Graphical Frequency Response Techniques for MIMO
e. Robust Analysis and Synthesis