Module Handbook


Module Name:

Discrete Control Theory

Module Level:


Abbreviation, if applicable:

MAT 403

Sub-heading, if applicable:


Courses   included   in   the

module, if applicable:



7th / Third Year

Module coordinator(s):

Dr.  Fatmawati, M.Si.


Dr.  Fatmawati, M.Si.


Bahasa Indonesia

Classification   within   the


Compulsory Course / Elective Studies

Teaching format / class

hours per week during semester:

2 hours lectures (50 min / hour)


2 hours lectures, 2 hour structural activities, 2 hours individual study,

13 week per semester, and total 78 hours per semester   2.6 ECTS

Credit Points:



Linear Algebra

Learning goals/competencies:

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.       Solve the state space equations of the discrete time system

3.       Explain the concept of z-transformation

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

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

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

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

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



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

Soft skill Attribute

Discipline , honesty , cooperation and creativity

Study/exam achievements:

The assessments include the essay test (quiz, middle exam) and group presentations (final exam).


Final score (NA) is calculated as follow: 10% soft skill + 20% quiz+ 15 % assignment + 30% UTS (middle exam) + 25% UAS (final exam)


Final index is defined as follow:

 A      :    75 - 100


AB    :    70 - 74.99

B      :    65 - 69.99

BC    :    60 - 64.99

C      :    55 - 59.99

D      :    40 - 54.99

E       :      0 - 39.99

Forms of Media:

Slides and LCD projectors, whiteboards

Learning Methods

Lecture, assessments and group presentation


1.       Ogata, K., 1995, Diskrit 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.