Multivariable Control Systems

A diagram of a finite order linear time-invariant (LTI) feedback system.

The system above shows a plant (P) which is a finite order linear time-invariant (LTI) feedback system with two inputs, w (disturbance) and u (actuator), two outputs, z (cost) and y (measurement), and a feedback controller (K). (Image courtesy of OCW.)


MIT Course Number


As Taught In

Spring 2004



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Course Features

Course Description

This course uses computer-aided design methodologies for synthesis of multivariable feedback control systems. Topics covered include: performance and robustness trade-offs; model-based compensators; Q-parameterization; ill-posed optimization problems; dynamic augmentation; linear-quadratic optimization of controllers; H-infinity controller design; Mu-synthesis; model and compensator simplification; and nonlinear effects. The assignments for the course comprise of computer-aided (MATLAB®) design problems.

Alexandre Megretski. 6.245 Multivariable Control Systems, Spring 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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