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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Discrete Time Control Systems MUH306 Elective Bachelor's degree 3 Spring 5

Name of Lecturer(s)

Prof. Dr. Hasan OCAK
Associate Prof. Dr. Selçuk KİZİR
Assistant Prof. Dr. Banu AYYILDIZ

Learning Outcomes of the Course Unit

1) Analyze discrete-time systems using the Z-transform.
2) Construct models of sampling, zero-order hold and first-order hold systems.
3) Analyze the transient and steady state response of discrete-time closed-loop systems.
4) Analyze analog system by converting them to digital through the use of different methods.
5) Perform stability analysis of a discrete-time system and construct its root-locus plot.
6) Design a digital controller using root-locus and frequency-domain methods.
7) Perform state-space analysis of a discrete-time system.
8) Analyze continuous-time state-space equations by digitizing them.

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9 10 11
Learning Outcomes
1 Middle Middle High High High High High High High High High
2 No relation Middle High High High High High High High High High
3 Middle Middle Middle Middle Middle High High Middle Middle Middle Middle
4 High High Middle Middle High High Middle Middle Middle Middle Middle
5 Middle High Middle Middle No relation Middle Middle Middle Middle Middle Middle
6 No relation Middle Middle Middle Middle Middle Middle High Middle Middle Middle
7 Low High Middle Middle High No relation High High High High High
8 High High High High High High High Middle Middle Middle Low

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

This course covers ;Introduction to discrete-time systems, Z-Transform, Z-Plane analysis of discrete-time systems, Sampling, Zero and first order hold, Transfer functions of the closed-loop systems, Mapping between the s-plane and z-plane, Stability anaysis of the closed-loop systems, Jury test, Discrete-time root-locus, Root-locus based digital controller design, Frequency-domain design, State-space analysis of discrete-time systems, Digitization of the continuous-time state space equations.

Weekly Schedule

1) Inroduction to discrete-time control systems, Digitization, Digitization error
2) Z-transform, Z-transform of basic signals
3) Properties and theorems of the Z-transform.
4) Inverse Z-transform, solution of the difference equations using the Z-transform
5) Z-domain analysis of the discrete-time systems, sampling, zero and first order hold
6) Closed-loop transfer functions of discrete-time systems, Starred Laplace transform
7) Mapping between the s-domain and the z-domain, transient and steady state responses
8) Midterm examination/Assessment
9) Stability analysis of closed loop systems, Jury test
10) Discrete time root-locus
11) Root-locus based digital controller design
12) Frequency domain based design of digital controllers
13) State-space analysis of discrete-time systems
14) Digitization of the continuous-time state-space equations
15) Digitization of the continuous-time state-space equations
16) Digitization of the continuous-time state-space equations

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Simulation
3) Lab / Workshop
4) Problem Solving
5) Project Based Learning


Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

50%

 

Number

Percentage

Semester Studies

Midterm Examination

1

50%

Quiz

1

50%

 

Contribution of Final Examination to Course Grade

50%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required