MAE 6780

Multivariable Control Theory

Course Description

Course information provided by the 2025-2026 Catalog.

Introduction to multivariable feedback control theory in both time and frequency domain. Topics include model-based control, performance limitations, Linear Quadratic and H-infinity optimal control, control synthesis vis convex optimization, and model predictive control. Additional topics at the discretion of the instructor.

Prerequisites MAE 4780 or MAE 5780, ECE 6210, plus a strong background in classical control, linear algebra, and state space models.

Last 4 Terms Offered 2024SP, 2022SP, 2021SP, 2020SP

Learning Outcomes

• Students will be able to learn how to model dynamical systems for multivariable control by case studies.
• Students will be able to know state-space representation, transfer function matrix and transition matrix approaches.
• Students will be able to understand optimal control theory via case studies in linear quadratic regulator (LQR) and implicit model following (IMF).
• Students will be able to learn robust control theory including H-infinity control design.
• Students will be able to know adaptive control approaches including gain scheduling and model-reference adaptive systems (MRAS).
• Students will be able to gain a further understanding of modern control approaches including model predictive control (MPC), mu-synthesis, sliding mode control and feedback linearization in an independent project.

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