To provide theoretical basis, proofs of theorems and more detailed definitions then in the basic course (Fundamentals of control engineering) to get students familiar with the area and therefore fully understand the essence of matter. To include all the issues which usually listens worldwide at a course of control. To prepare students to follow other subjects in this department.

The acquisition of wider knowledge of the automatic control, as a technical field that requires a modern engineer. Identify and use the methods needed for analysis and synthesis of controllers in the control systems, and the entire control systems. Тhe implementation of computers and MATLAB and address the underlying problems of the automatic control, as well as other engineering problems. The analytical and/or experimental investigation of the basic dynamic and static characteristics of the systems.

The concept of state space. Linear and nonlinear systems, time invariant and time varying systems. Definition of mathematical models in total coordinates and the coordinates of the absolute deviations. Defining the mathematical model in state space, relationship with differential equation and the transfer matrix of the system. Algorithms for the transition from one form of mathematical model to another. Lyapunov's concept of stability. Different properties of stability of the zero steady state: stability, attraction, asymptotic stability. Different characteristics of system stability: stability, border of stability and unstability. The concept of controllability and observability. Logarithmic frequency response and Bode diagrams. Algebraic stability criteria and frequency stability criteria: Hurwitz, Nyquist, Bode, Cipkin, Mihailov.

Practical teaching shall include the computational tasks which illustrates the exposed material given by the definitions or by theorems. Connecting different types of mathematical models of linear systems: differential equations, equations of the state and the output equations, transfer functions and block diagram of the system. Тhe transition from one form to another model. Simulation results for the illustration the above definitions and theorems are done on personal using MATLAB. In this course much more tools, commands, scripts, ... from MATLAB will be used, as compared to those obtained in the course Fundamentals of control engineering.

Passed course Fundamentals of control engineering.

• Script on https://classroom.google.com/c/MTc5NTQ3MzI4OTgw?cjc=dqauglb • Licensed software in the possession of the faculty. • Freeware software. • PCs.

Total assigned hours: 75

New material: 20
Elaboration and examples (recapitulation): 10

Auditory exercises: 12
Laboratory exercises: 18
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 4
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 6
Test: 0
Final exam: 5

Activity during lectures: 5
Test/test: 50
Laboratory practice: 5
Calculation tasks: 10
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30

Dragan Lazić, "Automatic control", Script, Faculty of Mechanical Engineering, Belgrade, 2015.