Multivariable control

Summary

This course covers methods for the analysis and control of systems with multiple inputs and outputs, which are ubiquitous in modern technology and industry. Special emphasis will be given to discrete-time systems, due to their relevance for digital and embedded control architectures.

Content

Keywords

Multivariable systems, feedback control, state-space models, optimal control, LQR, Kalman filtering, LQG

Learning Prerequisites

Required courses

Linear algebra, Control systems

Important concepts to start the course

• State-space models
• Linear systems in continuous and discrete time
• Basic concepts of stability
• Feedback control

Learning Outcomes

By the end of the course, the student must be able to:

• Construct and analyse a discrete-time model for a dynamic system, A5
• Analyze a multivariable dynamic system and design an appropriate controller for the system, A10
• Assess / Evaluate the stability, performance and robustness of a closed-loop system, A12
• Propose several control solutions, formulate the trade-offs, choose the options, A14

Transversal skills

• Use a work methodology appropriate to the task.
• Demonstrate the capacity for critical thinking

Teaching methods

Ex-cathedra, exercises

Assessment methods

Written final exam.

In addition to the exam: graded group assignments on paper and computer during the semester.

Supervision

Resources

Virtual desktop infrastructure (VDI)

No

Bibliography

• Course slides on Moodle

Moodle Link

• https://go.epfl.ch/ME-422