Course Detail
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| SYSTEM MODELING and CONTROL | BME3149390 | Fall Semester | 3+0 | 3 | 6 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | English |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Elective |
| Course Coordinator | Assist.Prof. Elif HOCAOĞLU |
| Name of Lecturer(s) | Assist.Prof. Elif HOCAOĞLU |
| Assistant(s) | |
| 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 |
| Course 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. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| Derive mathematical modelling of the dynamic systems using differential equations or transfer functions. | 21 | A, E |
| Analyze dynamic systems in the time domain, including transient-response analysis for first and second-order systems. | 21 | A, D |
| Conduct stability analysis of dynamic systems both in the time and frequency domain. | 21 | A, E |
| Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB) | 21 | A, E |
| Apply the state-space approach for modelling dynamic systems based on the transformation of mathematical models. | 21 | A, E |
| Use MATLAB for system modeling, analysis, and design, including the implementation of control strategies. | 21 | E |
| Teaching Methods: | 21: Simulation Technique |
| Assessment Methods: | A: Traditional Written Exam, D: Oral Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Introduction to System Dynamics | Course presentation |
| 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 | Course presentation |
| 3 | Mathematical Modeling of Mechanical Systems | Course presentation |
| 4 | Modelling of Electrical and Electromechanical Systems, System Analogies, Mathematical Modeling of Op-Amps | Course presentation |
| 5 | Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB) | Course presentation |
| 6 | Time Domain Analyses of Dynamic Systems (Transient-Response Analysis of First-Order Systems, Transient-Response Analysis of Second-Order Systems | Course presentation |
| 7 | Transient-Response Analysis of Higher Order Systems, Solution of the State Equation | Course presentation |
| 8 | Time Domain Analysis and Design of Control Systems (Block Diagrams and Their Simplification, Stability Analysis) | Course presentation |
| 9 | Root-Locus Analysis, Analysis of Root-Locus Plots as a means of MATLAB, PID Controllers | Course presentation |
| 10 | Frequency Domain Analyses of Dynamic Systems | Course presentation |
| 11 | Bode Diagram Representation of the Frequency Response | Course presentation |
| 12 | Design of Control Systems in Frequency Domain | Course presentation |
| 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) | Course presentation |
| 14 | Stability analyses of the systems in state-space form | Course presentation |
| Resources |
| Katsuhiko Ogata, "System Dynamics", 4th Edition,Pearson. |
| MATLAB/SIMULINK Tutorials |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | An ability to apply knowledge of mathematics, science, and engineering | X | |||||
| 2 | An ability to identify, formulate, and solve engineering problems | X | |||||
| 3 | An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | X | |||||
| 4 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | X | |||||
| 5 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | X | |||||
| 6 | An ability to function on multidisciplinary teams | X | |||||
| 7 | An ability to communicate effectively | X | |||||
| 8 | A recognition of the need for, and an ability to engage in life-long learning | X | |||||
| 9 | An understanding of professional and ethical responsibility | X | |||||
| 10 | A knowledge of contemporary issues | X | |||||
| 11 | The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context | ||||||
| 12 | Capability to apply and decide on engineering principals while understanding and rehabilitating the human body | X | |||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 30 | |
| Rate of Final Exam to Success | 70 | |
| Total | 100 | |
| ECTS / Workload Table | ||||||
| Activities | Number of | Duration(Hour) | Total Workload(Hour) | |||
| Course Hours | 14 | 3 | 42 | |||
| Guided Problem Solving | 14 | 2 | 28 | |||
| Resolution of Homework Problems and Submission as a Report | 4 | 12 | 48 | |||
| Term Project | 0 | 0 | 0 | |||
| Presentation of Project / Seminar | 0 | 0 | 0 | |||
| Quiz | 0 | 0 | 0 | |||
| Midterm Exam | 1 | 20 | 20 | |||
| General Exam | 1 | 30 | 30 | |||
| Performance Task, Maintenance Plan | 0 | 0 | 0 | |||
| Total Workload(Hour) | 168 | |||||
| Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(168/30) | 6 | |||||
| ECTS of the course: 30 hours of work is counted as 1 ECTS credit. | ||||||
Detail Informations of the Course
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| SYSTEM MODELING and CONTROL | BME3149390 | Fall Semester | 3+0 | 3 | 6 |
| Course Program |
| Prerequisites Courses | |
| Recommended Elective Courses |
| Language of Course | English |
| Course Level | First Cycle (Bachelor's Degree) |
| Course Type | Elective |
| Course Coordinator | Assist.Prof. Elif HOCAOĞLU |
| Name of Lecturer(s) | Assist.Prof. Elif HOCAOĞLU |
| Assistant(s) | |
| 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 |
| Course 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. |
| Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| Derive mathematical modelling of the dynamic systems using differential equations or transfer functions. | 21 | A, E |
| Analyze dynamic systems in the time domain, including transient-response analysis for first and second-order systems. | 21 | A, D |
| Conduct stability analysis of dynamic systems both in the time and frequency domain. | 21 | A, E |
| Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB) | 21 | A, E |
| Apply the state-space approach for modelling dynamic systems based on the transformation of mathematical models. | 21 | A, E |
| Use MATLAB for system modeling, analysis, and design, including the implementation of control strategies. | 21 | E |
| Teaching Methods: | 21: Simulation Technique |
| Assessment Methods: | A: Traditional Written Exam, D: Oral Exam, E: Homework |
Course Outline
| Order | Subjects | Preliminary Work |
|---|---|---|
| 1 | Introduction to System Dynamics | Course presentation |
| 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 | Course presentation |
| 3 | Mathematical Modeling of Mechanical Systems | Course presentation |
| 4 | Modelling of Electrical and Electromechanical Systems, System Analogies, Mathematical Modeling of Op-Amps | Course presentation |
| 5 | Transfer Function Approach to Modeling Dynamic Systems (Block Diagrams, Partial-Fraction Expansion w/ MATLAB, Transient-Response Analyses w/ MATLAB) | Course presentation |
| 6 | Time Domain Analyses of Dynamic Systems (Transient-Response Analysis of First-Order Systems, Transient-Response Analysis of Second-Order Systems | Course presentation |
| 7 | Transient-Response Analysis of Higher Order Systems, Solution of the State Equation | Course presentation |
| 8 | Time Domain Analysis and Design of Control Systems (Block Diagrams and Their Simplification, Stability Analysis) | Course presentation |
| 9 | Root-Locus Analysis, Analysis of Root-Locus Plots as a means of MATLAB, PID Controllers | Course presentation |
| 10 | Frequency Domain Analyses of Dynamic Systems | Course presentation |
| 11 | Bode Diagram Representation of the Frequency Response | Course presentation |
| 12 | Design of Control Systems in Frequency Domain | Course presentation |
| 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) | Course presentation |
| 14 | Stability analyses of the systems in state-space form | Course presentation |
| Resources |
| Katsuhiko Ogata, "System Dynamics", 4th Edition,Pearson. |
| MATLAB/SIMULINK Tutorials |
Course Contribution to Program Qualifications
| Course Contribution to Program Qualifications | |||||||
| No | Program Qualification | Contribution Level | |||||
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | An ability to apply knowledge of mathematics, science, and engineering | X | |||||
| 2 | An ability to identify, formulate, and solve engineering problems | X | |||||
| 3 | An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | X | |||||
| 4 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | X | |||||
| 5 | An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | X | |||||
| 6 | An ability to function on multidisciplinary teams | X | |||||
| 7 | An ability to communicate effectively | X | |||||
| 8 | A recognition of the need for, and an ability to engage in life-long learning | X | |||||
| 9 | An understanding of professional and ethical responsibility | X | |||||
| 10 | A knowledge of contemporary issues | X | |||||
| 11 | The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context | ||||||
| 12 | Capability to apply and decide on engineering principals while understanding and rehabilitating the human body | X | |||||
Assessment Methods
| Contribution Level | Absolute Evaluation | |
| Rate of Midterm Exam to Success | 30 | |
| Rate of Final Exam to Success | 70 | |
| Total | 100 | |