Introduction to Multivariable Control

This lecture introduces the fundamental concepts of multivariable control, covering topics such as the block diagram representation of control systems, the modeling of temperature evolution in rooms, and the control of a natural gas refrigeration plant. The instructor discusses the importance of considering all scalar inputs and outputs simultaneously in multivariable systems, as well as the state-space model and linear systems analysis. The course also focuses on eigenvalue assignment, Luenberger observers, and optimal control strategies like the Linear Quadratic Regulator (LQR) and the Kalman filter. Students are provided with course organization details, including lecture and exercise session schedules, and are encouraged to actively participate in remote learning activities.