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General systems ideas

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Lecture 1.1

The general notions about Automatic control theory

General systems ideas

Mathematical basics of automatic control theory

System classifications

 

Structural arrangement of syllabus (curriculum).

4th semester:

1st module: Mathematical description of linear control systems

Motion equations of control systems

Typical input signals

Time response and frequency characteristics of control systems

Characteristics of typical dynamic links

12 lectures, 4x6 (24 hours) laboratory works

1st Module test.

2nd module: The stability of linear feedback systems;

The connection diagrams of dynamic links

Mason’s gain rule

Structural analysis of control systems

The behaviour of control systems at random input signals

Nyquist criterion

Frequency characteristics of control systems

Defining the stability parameters of linear feedback systems

13 lectures, 5x6 (30 hours) laboratory works

2nd Module test

Home work (the task is to define the motion equations of the control systems in question, its parameters and to simulate this control system).

Differentiated test

5th semester:

3rd module: Performance parameters of control systems

Performance parameters of control systems

Steady-state errors of control systems

Control systems design methods

Root locus design methods

PID regulators

12 lectures, 4x6 (24 hours) laboratory works

3rd module test;

4th module: Modern automatic control theory

Nonlinear control systems

State space models of control systems

Controllability and observability.

12 lectures, 4x6+2 (26 hours) laboratory works

4th module test;

Term paper (the task of the term paper is to construct and transform block diagram of the control system in question, define control laws, stability and performance parameters, to obtain the desired parameters of the control system, to carry out its dynamic simulation).

Exam

 

General systems ideas

The objects under study in control theory are systems. A system is any set of elements connected together by information links within some delineated system boundaries.

Referring to Figure 1.1, note that the system boundary is not a physical boundary but rather a convenient fictional device. Note also how information links may pass through the system boundary.


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