Course Overview Date: 10 th July 2008 Prepared by: Megat Syahirul Amin bin Megat Ali Email:...
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Transcript of Course Overview Date: 10 th July 2008 Prepared by: Megat Syahirul Amin bin Megat Ali Email:...
Course Overview
Date: 10th July 2008
Prepared by: Megat Syahirul Amin bin Megat Ali
Email: [email protected]
Provides a background of control principles in various engineering applications. Basic mathematical tools such as Laplace transform, transfer function, block diagram, signal flow graph, mathematical modeling of dynamic systems, time response analysis, stability of linear system, root locus and frequency domain analysis are utilized.
CO1 Ability to apply various mathematical principles (from
calculus and linear algebra) to solve control system problems.
CO2 Ability to obtain mathematical models for such mechanical,
electrical and electromechanical systems. CO3
Ability to derive equivalent differential equation, transfer function and state space model for a given system.
CO4 The ability to perform system’s time and frequency-domain
analysis with response to test inputs. Analysis includes the determination of the system stability.
Final Examination : 50% Lab Assessment : 25% Mid-Semester Test : 15% Assignments : 10%
Total Mark : 100%
Textbooki. Nise N.S. (2004). Control System Engineering (4th
Ed), John Wiley & Sons.
Referencesii. Ogata K. (2002). Modern Control Engineering (4th
Ed), Prentice Hall. iii. Dorf R.C., Bishop R.H. (2001). Modern Control
Systems (9th Ed), Prentice Hall.
Lecturer En. Megat Syahirul Amin bin Megat Ali
B.B.Eng. (Malaya), M.Sc. (Surrey)
Teaching Engineer (PLV) Pn. Faridah binti Hassan
B.Eng. (UTP)
Week Course Content
1-2 Introduction to Control Systems
3-4 The Basics of Control Theory
5-6 Mathematical Model of Systems
7-9 System Stability
10-11 Time-Domain Analysis
12-13 The Root Locus Method
14 Frequency Response Method
15 Controller
Lab Title
1 Introduction to MatLab Simulink
2 Open-loop System Characteristics
3 Closed-loop System Characteristics
4 Study of Time-Response for 1st Order Systems
5 Study of Open-loop System Models
6 Study of Closed-loop System Models.
Introduction to Control System
Date: 10th July 2008
Prepared by: Megat Syahirul Amin bin Megat Ali
Email: [email protected]
System A collection of components which are coordinated
together to perform a function. Dynamic System
A system with a memory. For example, the input value at time t will influence
the output at future instant. A system interact with their environment through a
controlled boundary.
The interaction is defined in terms of variables.i. System inputii. System outputiii. Environmental disturbances
The system’s boundary depends upon the defined objective function of the system.
The system’s function is expressed in terms of measured output variables.
The system’s operation is manipulated through control input variables.
The system’s operation is also affected in an uncontrolled manner through disturbance input variables.
Control is the process of causing a system variable to conform to some desired value.
Manual control Automatic control (involving machines only).
A control system is an interconnection of components forming a system configuration that will provide a desired system response.
Control System
Output
Signal
Input Signa
l
Energy
Source
Control is a process of causing a system variable such as temperature or position to conform to some desired value or trajectory, called reference value or trajectory.
For example, driving a car implies controlling the vehicle to follow the desired path to arrive safely at a planned destination.i. If you are driving the car yourself, you are performing manual
control of the car.
ii. If you use design a machine, or use a computer to do it, then you have built an automatic control system.
Transient response: Gradual change of output from initial to the desired
condition Steady-state response:
Approximation to the desired response For example, consider an elevator rising from
ground to the 4th floor.
Component or process to be controlled can be represented by a block diagram.
The input-output relationship represents the cause and effect of the process.
Control systems can be classified into two categories:i. Open-loop control systemii. Closed-loop feedback control system
Process Output
Input
An open-loop control system utilizes an actuating device to control the process directly without using feedback.
A closed-loop feedback control system uses a measurement of the output and feedback of the output signal to compare it with the desired output or reference.
Actuating Device Process Output
Desired Output
Response
Desired Output
Response
Measurement
Output
Controller
ProcessComparison
Single Input Single Output (SISO) System
Desired Output
Response
Measurement
Output Variabl
es
Controller
Process
Multi Input Multi Output (MIMO) System
i. Power Amplification (Gain) Positioning of a large radar antenna by low-power
rotation of a knob
ii. Remote Control Robotic arm used to pick up radioactive materials
iii. Convenience of Input Form Changing room temperature by thermostat position
iv. Compensation for Disturbances Controlling antenna position in the presence of large
wind disturbance torque
i. Ancient Greece (1 to 300 BC) Water float regulation, water clock, automatic oil lamp
ii. Cornellis Drebbel (17th century) Temperature control
iii. James Watt (18th century) Flyball governor
iv. Late 19th to mid 20th century Modern control theory
i. Pancreas Regulates blood glucose level
ii. Adrenaline Automatically generated to increase the heart rate and
oxygen in times of flightiii. Eye
Follow moving objectiv. Hand
Pick up an object and place it at a predetermined location
v. Temperature Regulated temperature of 36°C to 37°C
Figure shows a schematic diagram of temperature control of an electric furnace. The temperature in the electric furnace is measured by a thermometer, which is analog device. The analog temperature is converted to a digital temperature by an A/D converter. The digital temperature is fed to a controller through an interface. This digital temperature is compared with the programmed input temperature, and if there is any error , the controller sends out a signal to the heater, through an interface, amplifier and relay to bring the furnace temperature to a desired value.
Car and Driver
Objective: To control direction and speed of car Outputs: Actual direction and speed of car Control inputs: Road markings and speed signs Disturbances: Road surface and grade, wind, obstacles Possible subsystems: The car alone, power steering
system, breaking system
Functional block diagram:
Time response:
Measurement, visual and tactile
Measurement, visual and tactile
Steering Mechanism
Steering Mechanism Automobil
eAutomobil
eDriverDriver
Desired
course of
travel
Actual course
of travel
Error+
-
Consider using a radar to measure distance and velocity to autonomously maintain distance between vehicles.
Automotive: Engine regulation, active suspension, anti-lock breaking system (ABS)
Steering of missiles, planes, aircraft and ships at sear.
Control used to regulate level, pressure and pressure of refinery vessel.
For steel rolling mills, the position of rolls is controlled by the thickness of the steel coming off the finishing line.
Coordinated control system for a boiler-generator.
Consider a three-axis control system for inspecting individual semiconducting wafers with a highly sensitive camera
i. CD Players The position of the laser spot in relation to the
microscopic pits in a CD is controlled.
ii. Air-Conditioning System Uses thermostat and controls room temperature.
i. System, plant or process To be controlled
ii. Actuators Converts the control signal to a power signal
iii. Sensors Provides measurement of the system output
iv. Reference input Represents the desired output
SensorSensor
Actuator
Actuator
ProcessProcessController
Controller
++
Set-point or
Reference input
Actual Outpu
t
ErrorControll
ed Signal
Disturbance
Manipulated
Variable
Feedback Signal
+
-
++
Application: CD player, computer disk drive Requirement: Constant speed of rotation Open loop control system:
Block diagram representation:
Goal of the system: Position the reader head in order to read data stored on a track.
Variables to control: Position of the reader head
Specification:
i. Speed of disk: 1800 rpm to 7200 rpm
ii. Distance head-disk: Less than 100nm
iii. Position accuracy: 1 µm
iv. Move the head from track ‘a’ to track ‘b’ within 50ms
System Configuration:
Describe the principle of operation for Watt’s Flyball Governor. Include the relevant block diagram and indicate the functional components of the system.
Your report should be no more than 2 pages long.
The report should be submitted on Tuesday (15/7/2008) during the tutorial session.
Chapter 1i. Nise N.S. (2004). Control System Engineering (4th
Ed), John Wiley & Sons.ii. Dorf R.C., Bishop R.H. (2001). Modern Control
Systems (9th Ed), Prentice Hall.