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Question list. The purpose of this work is to study:

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LABORATORY WORK #1.4

The purpose of this work is to study:

- the properties of typical test signals

- control systems’ reaction to typical test signals

 

Task 1

Study the properties of typical test signal generators

Task 2

Your task is to create testing circuits and study the reaction of various typical dynamic links to Step function

Typical dynamic links have the following transfer functions:

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Each student has to choose its values for within the interval (0;+10).

Task 3

Your task is to create testing circuits and to study the reaction of various typical dynamic links to -function

Typical dynamic links have the following transfer functions:

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-

-

-

-

-

Each student has to choose its values for within the interval (0;+10).

 

Task 4

Your task is to create testing circuits and to study the reaction of various typical dynamic links to Sine Wave test signal.

Typical dynamic links have the following transfer functions:

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-

-

-

-

-

Each student has to choose its values for within the interval (0;+10).

 

Task 5

Your task is to create testing circuits and to study the reaction of various typical dynamic links to quadratic and cubic input time power functions.

Typical dynamic links have the following transfer functions:

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-

-

-

-

-

Each student has to choose its values for within the interval (0;+10).

 

Task 6

Your task is to create testing circuits and to study the reaction of various typical dynamic links to unit step and impulse functions using the possibilities of Linear analysis.

 

Typical dynamic links have the following transfer functions:

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-

-

-

-

-

Each student has to choose its values for within the interval (0;+10).

Task 7

Programming test input signals and computer simulation of the reaction of various typical dynamic links to test input signals.

Matlab script:

 

%Compute the response of the Mobile Robot Control

%System to a triangular wave input

%

numg=[10 20]; deng=[1 10 0]; sysg=tf(numg,deng); %

[sys]=feedback(sysg, [1]);

t=[0:0.1:8.2]';

v1=[0:0.1:2]';v2=[2:-0.1:-2]';v3=[-2:0.1:0]'; % Compute triangular wave input

u=[v1;v2;v3];

[y,T]=lsim(sys,u,t); % Linear simulation

plot(T,y,t,u, '--'),

xlabel('Time (s)'), ylabel('\theta (rad.)'), grid

 

Your task is to program typical test input signals and define the reaction of various typical dynamic links to them using this Matlab script as an example.

 

Question list

1. The properties of typical test signals

2. The properties of Duhamel's integral

3. General systems ideas


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