MAE 6780

Multivariable Control Theory

Course Description

Course information provided by the 2026-2027 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 5780 and ECE 6210.

Enrollment Information Enrollment limited to: Cornell Tech Doctor of Philosophy (PhD) students.

Last 4 Terms Offered 2026SP, 2024SP, 2022SP, 2021SP

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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