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Control Engineering Principles
EMT 364/4 Control Engineering Principles
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Lecturer Dr. Neoh Siew Chin (Coordinator)
Dr. Mohamad Halim Bin Abd. Wahid Mr STEVEN A/L TANISELASS
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Related Topics Introduction to Control Systems
Mathematical Models of Control Systems State-Variable Models of Control Systems State Transition Matrix & Design Feedback Control Systems Time-Domain Analysis Transient response Stability of Linear Feedback Systems Root Locus Method Frequency Response Method Stability in Frequency Domain Design of Feedback Control Systems Controller Design Digital Control Systems
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Course Evaluation Examination : 70% Course work : 30% Final Exam : 50%
Mid Term Exam : 20% Course work : 30% Laboratory (4 labs) : 15% Assignment : 15 %
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Course Outcomes CO1: Ability to apply and evaluate the mathematical model for electrical/electronic and mechanical systems. CO2: Ability to evaluate system’s time-domain analysis with response to test inputs. Analysis includes the determination of the system stability. CO3: Ability to evaluate system’s frequency-domain analysis with response to test inputs. Analysis includes the determination of the system stability. CO4: Ability to design and evaluate P, PI, PD, PID, lead, lag controllers and digital control systems.
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Text Book: Modern Control Systems 12th ed., Richard C.Dorf, Robert H.Bishop, 2011. References: Control Systems Engineering 5th ed., Norman S.Nise, John Wiley & Sons, 2008. Automatic Control System 8th ed., Kuo B.C., Prentice Hall, 1995. Modern Control Engineering, Ogata K., Prentice Hall, 1999.
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Introduction to Control Systems
Chapter 1 Introduction to Control Systems
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Basic Concepts System Dynamic 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.
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Control System 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 Signal Energy Source
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Manual Vs Automatic Control
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. If you are driving the car yourself, you are performing manual control of the car. If you use a designed machine, or use a computer to do it, then you have built an automatic control system.
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1.3 What is control? 1.4 Open-loop system
Objectives Model Analysis Design 1.4 Open-loop system controller plant + input output disturbance Disturbance is unwanted signal that may sway the output Controller is a subsystem that is used to ensure the output signal follows the input signal
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1.5 Closed-loop system controller plant + input output disturbance error - A closed-loop control system uses a measurement of the output and feedback of this signal to compare it with the desired output Open-loop : Toaster, mechanical systems consisting pf a mass, spring and damper with a constant force positioning the mass. Closed-loop : A person steering an automobile (assuming his or her eyes are open) by Looking at the auto's location on the road and making the appropriate adjustments. Examples
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Figure 1.1 Block diagram of control system- open-loop system
Example of an open-loop system motor rheostat amplifier Turn-table amplifier motor Turn-table Actual speed Required speed Figure 1.1 Block diagram of control system- open-loop system
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Figure 1.1 Block diagram of control system- closed-loop system
Example of closed-loop system motor tachometer differential amplifier rheostat Turn-table amplifier motor Turn-table tachometer Required speed Actual speed Figure 1.1 Block diagram of control system- closed-loop system
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Control System Classification
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 Process Comparison Single Input Single Output (SISO) System
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Control System Classification
Missile Launcher System Open-Loop Control System
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Control System Classification
Missile Launcher System Closed-Loop Feedback Control System
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Control System Classification
Desired Output Response Measurement Output Variables Controller Process Multi Input Multi Output (MIMO) System
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Purpose of Control Systems
Power Amplification (Gain) Positioning of a large radar antenna by low-power rotation of a knob Remote Control Robotic arm used to pick up radioactive materials Convenience of Input Form Changing room temperature by thermostat position Compensation for Disturbances Controlling antenna position in the presence of large wind disturbance torque
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Temperature Control 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.
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Transportation 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
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Transportation Functional block diagram: Time response:
Measurement, visual and tactile Steering Mechanism Automobile Driver Desired course of travel Actual course of travel Error + -
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Transportation 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.
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Process Industry 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.
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Manufacturing Industry
Consider a three-axis control system for inspecting individual semiconducting wafers with a highly sensitive camera
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Homes CD Players Air-Conditioning System
The position of the laser spot in relation to the microscopic pits in a CD is controlled. Air-Conditioning System Uses thermostat and controls room temperature.
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Control System Components
System, plant or process To be controlled Actuators Converts the control signal to a power signal Sensors Provides measurement of the system output Reference input Represents the desired output
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General Control System
Sensor Actuator Process Controller + Set-point or Reference input Actual Output Error Controlled Signal Disturbance Manipulated Variable Feedback Signal -
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Control System Design Process
1. Establish control goals 2. Identify the variables to control 3. Write the specifications for the variables 4. Establish the system configuration and identify the actuator 5. Obtain a model of the process, the actuator and the sensor 6. Describe a controller and select key parameters to be adjusted 7. Optimize the parameters and analyze the performance If the performance meet the specifications, then finalize design If the performance does not meet specifications, then iterate the configuration and actuator
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Turntable Speed Control
Application: CD player, computer disk drive Requirement: Constant speed of rotation Open loop control system: Block diagram representation:
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Turntable Speed Control
Closed-loop control system: Block diagram representation:
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Disk Drive Read System 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
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Disk Drive Read System Specification:
Speed of disk: 1800 rpm to 7200 rpm Distance head-disk: Less than 100nm Position accuracy: 1 µm Move the head from track ‘a’ to track ‘b’ within 50ms System Configuration:
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Foto 1.12: Sistem kawalan proses untuk tujuan pengajaran di makmal.
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1.7 Servo control
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1.6 Process control
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1.9 Analysis Transient state Steady state Stability
a state whereby the system response after a perturbation before the response approach to a steady state Steady state a state whereby the system response becomes steady after a transient state Stability The condition of the steady state. If the response converges to a finite value, it is said to be in a stable condition. If the response diverges, it is known to be unstable.
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Response Characteristics
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.
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Analysis and Design Objectives
Transient Response In the case of elevator, slow transient response makes passengers impatient. Excessive response makes passenger uncomfortable and could also cause permanent physical/ structural damage. Steady-State Response This response resembles the input and is usually refers to the response remains after transients have decayed to zero. This response refers to the accuracy E.g. the elevator stop near the fourth floor, head of disk stop at the correct track Steady-state error is analyzed for corrective action
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Analysis and Design Objectives (Cont’)
Stability Nature response is dependent only on the system, not the input Forced response is dependent on input For a desirable control system, natural response must eventually approach zero, leaving only the forced response When natural response grow much greater than forced response, the system is no longer controlled and instability arise. Instability could lead to destruction of physical device Other Considerations E.g. hardware selection, specification, choice of sensor, financial consideration, robustness. System parameters changed dynamically and affect the performance of the system. The sensitivity of systems toward parameter changes is less.
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