Understanding the role of control related to flow of matter, energy and information. Understanding the basic control systems analysis and design techniques. Ability to design and tune classical controllers.
- explain the pricinple of feedback in control systems
- apply laws of conservation of energy and matter in mathematical modelling of dynamical systems; linearize nonlinear model
- employ block agebra and Laplace transform in transfer function calculation
- compute frequency characteristics of linear systems
- apply methods of analysis of stability of linear continuous-time control systems in frequency domain
- apply discretization on a linear continuous-time system
- apply methods of analysis of stability of dicrete time systems
- apply tuning rules for PID regulator based on experiments (Ziegler-Nichols).
Forms of Teaching
Two times per week two hours of lectures.Exams
One midterm and one final exam in written form, or an exam in a written and oral form.Laboratory Work
Laboratory exercises consist of 6 exercises. Each exercise is worth 3 points: 1 point for homework which is evaluated during the exercise, 0.5 for the laboratory work and 1.5 for a quiz written at the end of the exercise.Consultations
After each lecture.
|Type||Threshold||Percent of Grade||Comment:||Percent of Grade|
|Laboratory Exercises||0 %||3 %||0 %||1.5 %|
|Homeworks||0 %||6 %||0 %||3 %|
|Quizzes||0 %||9 %||0 %||4.5 %|
|Mid Term Exam: Written||0 %||35 %||0 %|
|Final Exam: Written||0 %||47 %|
|Exam: Written||0 %||41 %|
|Exam: Oral||50 %|
On midterm exam and final exam at least 40 out of total 82 points is required. At least 50 out of total 100 points is required to pass the course.
Week by Week Schedule
- Overview of thematic subjects, references, organization of the course and exams. Historical background of automatic control development. Examples and research trends.
- Systems and control systems. Examples of various systems. System classification. Formal representation of control systems. Block algebra.
- Modeling of dynamical systems.
- Linearization of nonlinear systems. Systems representations: impulse system response, step system response, state-space representation.
- Use of Laplace transform. Transfer function.
- System frequency characteristics. Various representations (Nyquist, Bode, Nichols). Examples.
- Poles, zeros and time responses of linear dynamical systems. Control systems structures.
- Midterm exam.
- Stability of linear continuous-time control systems. Stability analysis by frequency method (Nyquist, Bode).
- Time performance indices for control system steady-state response. Introduction to digital control systems.
- Mapping of poles and zeros from s-domain to z-domain.
- Discretization of continuous-time systems. Models of digital control systems.
- Stability of discrete-time control systems. PID controller.
- Parametrization of PID controllers. PID - additional functions.
- Final exam.