Course syllabus

Flervariabel reglering
Multivariable Control

FRTN10, 7,5 credits, A (Second Cycle)

Valid for: 2019/20
Decided by: PLED F/Pi
Date of Decision: 2019-03-26

General Information

Elective for: B5, C4, D4-ssr, E4-ra, F4, F4-r, I4-pvs, K5, Pi4-ssr
Language of instruction: The course will be given in English on demand

Aim

To teach the basic principles for control of systems with multiple inputs and outputs. The course will provide insight on fundamental limitation and on the use of mathematical optimization as a design tool. The course covers linear continuous-time systems.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Contents

The control design process, signal size, gain, stability, sensitivity, robustness, the small-gain theorem, transfer function matrices, multivariable zeros, non-minimum-phase systems, disturbance models in the time domain and frequency domain, frequency-domain specifications, fundamental limitations and trade-offs, controller structures, the Youla parameterization and internal model control, linear-quadratic optimization of state feedback and Kalman filter, synthesis using convex optimization, model reduction.

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written exam (5 hours), three laboratory exercises. In case of less than 5 registered students the retake exams may be given in oral form.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Parts
Code: 0114. Name: Examination.
Credits: 6. Grading scale: TH. Assessment: Passed exam
Code: 0214. Name: Laboratory Work 1.
Credits: 0,5. Grading scale: UG. Assessment: Preparation exercises and approved participation in laboratory
Code: 0314. Name: Laboratory Work 2.
Credits: 0,5. Grading scale: UG. Assessment: Preparation exercises and approved participation in laboratory
Code: 0414. Name: Laboratory Work 3.
Credits: 0,5. Grading scale: UG. Assessment: Preparation exercises and approved participation in laboratory

Admission

Required prior knowledge: FRTF05 Automatic Control, Basic Course or FRTN25 Automatic Process Control
The number of participants is limited to: No
The course overlaps following course/s: FRT020

Reading list

Contact and other information

Course coordinator: Anton Cervin, anton.cervin@control.lth.se
Director of studies: Anton Cervin, anton.cervin@control.lth.se
Course homepage: http://www.control.lth.se/course/FRTN10
Further information: The course may not be part of an exam together with the course FRT020.