Mathematical Modelling of Control Objects and Systems

Appendix 1

 Course: Mathematical Modelling of Control Objects and Systems

Programme Summary

Major: 27.04.04 Automated Control

Degree: Master

Course units:

Section 1. Classification of system model types. Main application criteria.

  • Unit 1. Basic concepts of modelling. Mathematical modelling
  • Unit 2. Model types and classification. Task setting in process and control system modelling.

Section 2. Modelling techniques for complex objects and systems

  • Unit 3. Modelling of physical processes defined in terms of common differential equations.
  • Unit 4. Numerical solution of differential equations. Building numerical models of control systems.
  • Unit 5. The use of operational calculus in building models of control objects and systems.

Section 3. Control system models

  • Unit 6. System transfer functions. Elementary and standard units of control systems. Transient and frequency responses. Combination of system units.
  • Unit 7. Controller. Controller setup. Magnitude optimum methods. Transients and the quality of transients. Numerical setup methods and setup criteria.
  • Unit 8. Input/output system models. Cascade controllers. Cascade controller setup methods.

Section 4. Modelling of complex control objects and systems

  • Unit 9. Building and algorithmization of control system connectionist models.
  • Unit 10. Connectionist regression model trainable with empirical data.
  • Unit 11. The use of fuzzy logic in control system modelling.
  • Unit 12. Algorithmization and software implementation of fuzzy logic based models

Course contents:

This course teaches about the main techniques of mathematical modelling and control object modelling giving an insight into mathematical modelling as a scientific method and a research tool. The aim of the course is to give the students an idea about how to select mathematical tools to describe different objects. The course also aims to build some practical skills of using computer modelling to simulate process control systems. 


  • Teacher-led group activities in a classroom;
  • Extracurricular self-study of the teacher’s assignments and tasks, including the use of educational facilities (obligatory);
  • Office-hours.

Total hours – 288

Total points – 8

Laboratory activities – 54

Midterm assessment – Examination

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