MAT403 – Discrete Control Theory

Module designation

Discrete Control Theory (MAT403)

Semester(s) in which the module is taught

7^th 

Person responsible for the module

Prof. Dr. Fatmawati, M.Si.

Language

Indonesian and english

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture, lesson and project

Workload (incl. contact hours, self-study hours)

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Linear Algebra (MAL302)

Module objectives/intended learning outcomes

General Competence (Knowledge)

Understanding and using the concept of discrete control theory in the field of biological modeling, physics and more.

Specific Competence:

1.      Understanding the representation of the state space discrete-time linear systems

2.      Solving the state space equations of the discrete time system

3.      Explaining the concept of z-transformation

4.      Explaining the concept of the stability of the linear discrete time system

5.      Determining of the controllability and observability of the linear discrete time system

6.      Determining of the stabilizability and detectability of the linear discrete time system

7.      Explaining the concept of the optimal control of the linear discrete time system

8.      Applying the concept of optimal control of the discrete time system on a real problem

Content

Introductory the discrete time system, z-transformation, solution of discrete time system, the properties of discrete time system (stability, controlability, observability, stabilizability and detectability) , optimal controlof the discrete time systems

Examination forms

Essay and oral presentation

Study and examination requirements

Students are considered to pass if they at least have got final score 40 (D).

The assessments include the essay test (quiz, middle exam) and Problem based learning (PBL).

Final score is calculated as follow: 10% softskill + 20% assignment + 20% quiz +  25% middle term + 25% PBL

Final index is defined as follow:

Reading list

1. Ogata, K., 1995, Discrete Time Control System, Second Edition, Prentice Hall, Inc.
2. Evans, L. C., 2010, An Introduction to Mathematical Optimal Control  Theory, Third Edition, John Wiley & Sons, Inc., New York.
3. Olsder, G. J., and van der Woude, J.W., 2003, Mathematical System Theory, Lecture Notes, Delft.
4. Naidu, D. S.,  2003, Optimal Control Systems, CRC Press LLC, New York.