SYSTEM MODELING and CONTROL

AIM

After taking this course, a successful student is able to derive a mathematical model of a given system; students should be able to: o build mathematical models, use mathematical models to analyze the static, dynamic and frequency characteristics of dynamic systems o develop system responses to various inputs o analyze systems in time domain o analyze systems in the frequency domain o learn MATLAB/SIMULINK for dynamic system simulation o do modeling, design and implementation of closed loop control for a real process o identify the usefulness of basic control methods and their limitations

CONTENT

This course contains; Introduction to System Dynamics,Mathematical modelling of dynamic systems, analyses and design of dynamic systems) Laplace Transform (Inverse Laplace Transform, Solving LTI Differential Eqns, Example Problems and Solutions,Mathematical Modeling of Mechanical Systems,Modelling of Electrical and Electromechanical Systems, System Analogies, Mathematical Modeling of Op-Amps,Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB),Time Domain Analyses of Dynamic Systems (Transient-Response Analysis of First-Order Systems, Transient-Response Analysis of Second-Order Systems,Transient-Response Analysis of Higher Order Systems, Solution of the State Equation,Time Domain Analysis and Design of Control Systems (Block Diagrams and Their Simplification, Stability Analysis),Root-Locus Analysis, Analysis of Root-Locus Plots as a means of MATLAB, PID Controllers,Frequency Domain Analyses of Dynamic Systems,Bode Diagram Representation of the Frequency Response,Design of Control Systems in Frequency Domain,State-Space Approach to Modeling Dynamic Systems (Transient-Response Analysis of Systems in State-Space Form w/ MATLAB, State-Space Modeling of Systems w/ Input Derivatives State-Space Modeling of Systems w/ Input Derivatives, Transformation of Mathematical Models w/ MATLAB) ,Stability analyses of the systems in state-space form.

1. 1

   Derive mathematical modelling of the dynamic systems using differential equations or transfer functions.

   Taught by: Simulation Technique · Assessed by: Traditional Written Exam, Homework

2. 2

   Analyze dynamic systems in the time domain, including transient-response analysis for first and second-order systems.

   Taught by: Simulation Technique · Assessed by: Traditional Written Exam, Oral Exam

3. 3

   Conduct stability analysis of dynamic systems both in the time and frequency domain.

   Taught by: Simulation Technique · Assessed by: Traditional Written Exam, Homework

4. 4

   Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB)

   Taught by: Simulation Technique · Assessed by: Traditional Written Exam, Homework

5. 5

   Apply the state-space approach for modelling dynamic systems based on the transformation of mathematical models.

   Taught by: Simulation Technique · Assessed by: Traditional Written Exam, Homework

6. 6

   Use MATLAB for system modeling, analysis, and design, including the implementation of control strategies.

   Taught by: Simulation Technique · Assessed by: Homework

WEEKLY PLAN

1. WEEK 1

   Introduction to System Dynamics

   Preparation: Course presentation

2. WEEK 2

   Mathematical modelling of dynamic systems, analyses and design of dynamic systems) Laplace Transform (Inverse Laplace Transform, Solving LTI Differential Eqns, Example Problems and Solutions

   Preparation: Course presentation

3. WEEK 3

   Mathematical Modeling of Mechanical Systems

   Preparation: Course presentation

4. WEEK 4

   Modelling of Electrical and Electromechanical Systems, System Analogies, Mathematical Modeling of Op-Amps

   Preparation: Course presentation

5. WEEK 5

   Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB)

   Preparation: Course presentation

6. WEEK 6

   Time Domain Analyses of Dynamic Systems (Transient-Response Analysis of First-Order Systems, Transient-Response Analysis of Second-Order Systems

   Preparation: Course presentation

7. WEEK 7

   Transient-Response Analysis of Higher Order Systems, Solution of the State Equation

   Preparation: Course presentation

8. WEEK 8

   Time Domain Analysis and Design of Control Systems (Block Diagrams and Their Simplification, Stability Analysis)

   Preparation: Course presentation

9. WEEK 9

   Root-Locus Analysis, Analysis of Root-Locus Plots as a means of MATLAB, PID Controllers

   Preparation: Course presentation

10. WEEK 10

    Frequency Domain Analyses of Dynamic Systems

    Preparation: Course presentation

11. WEEK 11

    Bode Diagram Representation of the Frequency Response

    Preparation: Course presentation

12. WEEK 12

    Design of Control Systems in Frequency Domain

    Preparation: Course presentation

13. WEEK 13

    State-Space Approach to Modeling Dynamic Systems (Transient-Response Analysis of Systems in State-Space Form w/ MATLAB, State-Space Modeling of Systems w/ Input Derivatives State-Space Modeling of Systems w/ Input Derivatives, Transformation of Mathematical Models w/ MATLAB)

    Preparation: Course presentation

14. WEEK 14

    Stability analyses of the systems in state-space form

    Preparation: Course presentation

ASSESSMENT

• Rate of Midterm Exam to Success30%
• Rate of Final Exam to Success70%

WORKLOAD

READING

• Katsuhiko Ogata, "System Dynamics", 4th Edition,Pearson.
• MATLAB/SIMULINK Tutorials

TEACHING STAFF

• Assist.Prof. Elif HOCAOĞLUCOORDINATOR
• Assist.Prof. Elif HOCAOĞLU