# IC1252 Control Systems Lab Syllabus

IC 1252 CONTROL SYSTEMS LABORATORY 0 0 3 100

AIM
To provide a platform for understanding the basic concepts of linear control theory and its application to practical systems.
List of Experiments

1. Determination of transfer function parameters of a DC servo motor.

2. Determination of transfer function parameters of AC servo motor.

3. Analog simulation of type-0 and type-1 system.

4. Digital simulation of
linear systems.

5. Digital simulation of non-linear systems.

6. Design and implementation of compensators.

7. Design of P, PI and PID controllers.

8. Stability analysis of linear systems.

9. Closed loop control system.

10. Study of synchros.

P = 45 Total = 45
Detailed Syllabus

1. Determination of Transfer Function Parameters of A DC Servo Motor

Aim
To derive the transfer function of the given D.C Servomotor and experimentally determine the transfer function parameters

Exercise
1. Derive the transfer function from basic principles for a separately excited DC motor.

2. Determine the armature and field parameters by conducting suitable experiments.

3. Determine the mechanical parameter by conducting suitable experiments.

4. Plot the frequency response.

Equipment
1. DC servo motor : minimum of 100w – field
– variable voltage source - 1 No

2. Tachometer : 1 No
3. Multimeter : 2 Nos
4. Stop watch : 1 No

2. Determination Of Transfer Function Parameters Of Ac Servo Motor

Aim
To derive the transfer function of the given A.C Servo Motor and experimentally determine the transfer function parameters
Exercise

1. Derive the transfer function of the AC Servo Motor from basic
Principles.

2. Obtain the D.C gain by operating at rated speed.

3. Determine the time constant (mechanical)

4. Plot the frequency response

Equipment
1. AC Servo Motor : Minimum of 100w – necessary
sources for main winding and
control winding – 1 No

2. Tachometer : 1 No
3. Stopwatch : 1 No
4. Voltmeter : 1 No

3. Analog Simulation Of Type-0 And Type-1 System

Aim
To simulate the time response characteristics of I order and II order, type 0 and type-1 systems.
Exercise

1. Obtain the time response characteristics of type – 0 and type-1, I order and II order systems mathematically.

2. Simulate practically the time response characteristics using analog rigged up modules.

3. Identify the real time system with similar characteristics.

Equipment

1. Rigged up models of type-0 and type-1 system using analog components.

3. Variable frequency square wave generator and a normal CRO - 1 No

(or)
DC source and storage Oscilloscope - 1 No

4. Digital Simulation Of Linear Systems

Aim
To digitally simulate the time response characteristics of higher-order MIMO linear systems using state – variable formulation

Exercise
1. Obtain the state variable formulation of the given higher–order MIMO
systems.

2. Write a program or build the block diagram model using the given
software.

3. Obtain the impulse, step and sinusoidal response characteristics.

4. Identify real time systems with similar characteristics.

Equipment
1. System with MATLAB / MATHCAD (or) equivalent software - minimum 3 user license.

5. Digital Simulation Of Non-Linear Systems

Aim
To digitally simulate the time response characteristics of a linear system with simple non-linearities like saturation and dead zone.

Exercise
1. Obtain the time response characteristics of some simple linear systems without non - linearity for step and sinusoidal inputs.

2. Repeat the time response characteristics in the presence of non-linearity

3. Discuss the effect of non-linearity

Equipment
1. System with MATLAB / MATHCAD (or) other equivalent software - 3 user license.

6. Design And Implementation Of Compensators
Aim
To design and implement suitable compensator for a given linear system to improve the performance.

Exercise

1. Study the time response characteristics of the given linear system without
compensator.

2. Design a suitable compensator to improve the performance.

3. Implement the compensator using variable R,L and C boxes to the linear system and visually observe the performance improvement.

Equipment

1. Analog Rigged up modules of a linear system (For closed loop operation)
2. Variable R, L and C boxes – each - 2 Nos
3. Square wave generator and a CRO - 1 No
(or)
DC voltage source and storage oscilloscope - 1 No

7. Design Of P, Pi And Pid Controllers

Aim
To design P, PI and PID controllers for first order systems and implement them
practically.

Exercise
1. Study the time response behaviour of first order system without controller

2. Design a P/PI/PID controller to improve the performance

3. Implement the controller using variable R,L and C boxes to linear system and visually observe the performance improvement.

Equipment

1. Rigged up module of P, PI and PID controller using analog components
Rigged up module of I order system (with loop closing facility)
Variable R, L and C boxes – 2 each 1No
(or)
Process control trainer with all the above features

2. CRO and a square wave generator – 1 No
(or)
DC source and a storage oscilloscope – 1 No

8. Stability Analysis Of Linear Systems

Aim
To analyse the stability of linear systems using Bode / Root locus / Nyquist plot

Exercise

1. Write a program to obtain the Bode plot / Root locus / Nyquist plot for the given system
2. Access the stability of the given system using the plots obtained

3. Compare the usage of various plots in assessing stability

Equipment

1. System with MATLAB / MATHCAD / equivalent software - 3 user license

9. CLOSED LOOP CONTROL SYSTEM
Aim
To study the behaviour of closed loop control system through practical
experimentation.

Exercise

1. Obtain the block diagram representation of the given closed loop control system.

2. Conduct experiments to study the open loop time response behaviour for various set points.

3. Conduct experiments to study the closed loop time response behaviour for various set points.

4. Repeat 3 with a second type of controller and discuss the results.

Equipment

1. A complete closed loop position / speed / Temperature or equivalent system with two detachable controller units.

2. CRO

10. Study of Synchros
Aim
To study the characteristics of synchros as error detector
Exercise

1. Obtain the input-output characteristics of synchro transmitter by giving excitation to the rotor winding and measuring the output voltages across S1 – S2, S2-S3 and S3-S1 of stator windings for different rotor positions

2. Obtain the characteristics of synchro as angular displacement sensor and
plot voltage Vs angle characteristics

3. Obtain the characteristic of synchro used as remote angle displacement of receiver tracks that of transmitter

Equipment

1. Synchronous (transmitter and Receiver) : 1 set
2. Rheostat : 1 No
3. Multimeter : 1 No

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