Course detail
Theory of Dynamic Systems
FEKT-MPA-TDSAcad. year: 2025/2026
System approach for solving technical problems. Cybernetics and system science .I/O and state space approach to the analysis and design of dynamic systems. Continuous,discrete, linear, non linear,time constant and time variable systems. Controlability and observability. State observers. Deterministic and stochastic systems.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Offered to foreign students
Entry knowledge
Rules for evaluation and completion of the course
30% from activities in numerical examples
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.
Aims
After passing the course, the student is able to:
- demonstrate and explain the difference between state space and input output description of the system
- explain the concept of causality, realizability, reachability, controlability, observability and reconstructability of the system
- identify and approximate basic types of dynamic systems and discretize the system
- apply the principles of block algebra and Mason’s gain rule for the evaluation of the system’s transfer function
- design the state observer and state feedback
Study aids
Prerequisites and corequisites
Basic literature
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Different types of system description: input-output, transfer function, frequency response, polynomials.
3. Modeling of dynamical systems in MATLAB Simulink.
4. Stability of linear and nonlinear systems.
5. State space description, state equations, their solution.
6. Model realization: serial, parallel, direct programming. Canonical forms.
7. Controllability, reachability, observability, reconstruct-ability of systems.
8. Block algebra. Masons’s gain rule for transfer function computation.
9. State feedback controller.
10. State observers.
11. Methods of continuous time system discretization.
12. Stability of interval polynomials.
13. Reserve, review.
Fundamentals seminar
Teacher / Lecturer
Syllabus
2.Designing of the input function generators.
3. Controlability, reachability, observability and reconstructability of system.
4. Reachability index, minimal realization of the system
5. Conversion of block diagram to signal flow graph. Utilization of Mason’s gain rule.
6. Determination of observability index for the system with two inputs.
7. Summary, work on the project.
Exercise in computer lab
Teacher / Lecturer
Syllabus
2. Introduction to MATLAB Simulink. Definition of systems using Control toolbox commands. System analysis (impulse, step, freq, freqz, pzmap, ....)
3. Modelling of the mechanical systems in Matlab Simulink. Nyquist stability criterion.
4. Canonical forms of state space description implementation in MATLAB Simulink.
5. State feedback design, implementation of state controller in Simulink environment.
6. Design and implementation of state observers. Project work.