MULTIVARIABLE CONTROL SYSTEMS

EEM673

Course Code: EEM673
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Doctorate Of Science

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Will be able to model multivariable control systems.
Learn and apply state space design methods.
Learn and apply frequency domain design methods.
Will be able to implement optimal design for multivariable control systems.
Gain problem solving skills for multivariable control system problems.
Will be able to utilize the related software for multivariable control systems.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

None

Course Description

Multivariable system representations: SSD, TMD, MFD, PMD. Controllability and observability. Kalman decomposition. Polynomial matrices: irreducible MFD, gcrd, gcld. Wolovich structure theorem. State feedback. State observer. Decoupling. Smith-McMillan form. Multivariable poles and zeros. Internal stability. Optimal control.

Course Contents

WEEK	TOPICS
1^st Week	State space representation, Kalman decomposition
2^nd Week	SSD design, observers, decoupling
3^rd Week	MFD representation, realization
4^th Week	Design in MFD
5^th Week	PMD representation, Smith-McMillan format
6^th Week	PMD: poles/zeros, closed loop stability
7^th Week	Interior stability, Linear fractional transformation (LFT)
8^th Week	Midterm Exam
9^th Week	Dual coprime factorization
10^th Week	Alternative realizations
11^th Week	Optimal control, static optimal control, Dynamic optimal control
12^th Week	LQR design
13^th Week	Closed loop poles
14^th Week	Frequency domain equations

Recommended or Required Reading

1. Uraz, A., "Linear System Theory", Lecture Notes, 2003
2. Chen, C.T. "Linear System Theory and Design", Third Ed., Oxford, 1998

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Presentation

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	35
Assignment	1	5
Attendance	1	5
Other	1	10
Total(%)		55
Contribution of In-term Studies to Overall Grade(%)		55
Contribution of Final Examination to Overall Grade(%)		45
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	3	3
Preparation for Quiz	0	0	0
Individual or group work	14	8	112
Preparation for Final exam	1	40	40
Course hours	14	3	42
Preparation for Midterm exam	1	30	30
Laboratory (including preparation)	0	0	0
Final exam	1	3	3
Homework	2	35	70
Total Work Load			300
Total Work Load / 30 (h)			10
ECTS Credit of the Course			10

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4	LO5	LO6
K1					X
K2
K3	X	X	X	X	X
K4		X	X	X
K5						X
K6
K7
K8
K9
K10
K11