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C S 513

Robust Control

Computer Science College of Physical and Mathematical Sciences

Course Description

Introduction to the analysis and design of feedback systems guaranteed to perform well in spite of model uncertainty.

When Taught

Winter

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Recommended

C S 312 and 412; Math 334; or equivalents

Title

LMIs

Learning Outcome

Understand Linear Matrix Inequalities and their role in various identification and control problems.

Title

Systems Concepts

Learning Outcome

Understand system concepts of stability, controllability, observability, minimality, behavior, and structure.

Title

Representation

Learning Outcome

Understand various mathematical representations of systems.

Title

Four Basic Problems

Learning Outcome

Understand the four basic problems: Model Reduction (i.e. Approximation), System Identification (i.e. Learning), Control (i.e. Decision Making), and Verification/Validation, and how they impact each other.

Title

Hankel Singular Values

Learning Outcome

Understand Hankel singular values and their role in balanced truncation as an approximation to optimal model reduction.

Title

Small Gain

Learning Outcome

Understand the role of the Small Gain Theorem and Passivity in providing guarantees of algorithm correctness in spite of model uncertainty.