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Experiment 2

The experiment focuses on modeling a servo system using MATLAB and studying the effect of a PID controller on system performance. It involves obtaining transfer functions, analyzing system responses to a unit step input, and designing a PID controller to enhance system response. Additionally, it encourages the use of internet resources to explore industrial applications of different servo systems.

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karem Ali
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3 views3 pages

Experiment 2

The experiment focuses on modeling a servo system using MATLAB and studying the effect of a PID controller on system performance. It involves obtaining transfer functions, analyzing system responses to a unit step input, and designing a PID controller to enhance system response. Additionally, it encourages the use of internet resources to explore industrial applications of different servo systems.

Uploaded by

karem Ali
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Control and Dynamics of Power Systems (1) Experiment no.

EXPERIMENT
2
Study the reponse of servo system and effect of
PID controller

1. Object:
The objectives of this experiment are to:
• Modelling servo system using MATLAB software.
• Studying the Effect of PID controller on system performance..

2. Instruments and Equipments


MATLAB/SIMULINK software tool

4. Connection Diagram

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Control and Dynamics of Power Systems (1) Experiment no.2 Model (1)
5. Procedures
Consider the servo system shown in Figure The motor shown is a servomotor, a
dc motor designed specifically to be used in a control system. Where:
The angular position r is the reference input to the system
the angular position c of the wiper arm of the output potentiometer
K0: the potentiometer constant
K1: the amplifier constant
K2: the motor torque constant
K3: the back emf constant of the motor
J: moment of inertia
B: viscous-friction coefficient for the motor shaft
Note: for the gear train C=n Ɵ
1-
a) Draw system block diagram
b) Obtain the transfer function between the motor shaft angular
displacement Ɵ and the error voltage 𝑒𝑟 .
c) Obtain also a simplified unity feedback block diagram when La is
negligible (La=0) and get transfer function C/R
2-For the simplified system: if
J=1, B=0, Ra=1, K0=2, K1=4, K2=3, K3=2, n=3
a) Obtain the output response c(t) for a unit step input, then draw it using
MATLAB
b) Determine the system order, system type, then Calculate Damping ratio 𝜁,
Natural frequency 𝜔𝑛, Rise time 𝑡𝑟 , Peak time 𝑡𝑝, Settling time 𝑡𝑠, and
maximum overshoot (O.S).
c) Design a PID controller to enhance system response and compare between
results before and after control

6. Results
7.Add Your Own Comments
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8. Use internet resources to provide theiIndustrial application
of Different servo systems

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Control and Dynamics of Power Systems (1) Experiment no.2
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