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Assignment Execution Instructions Control Coursework (DC Motor & PID Controller Design)

You are required to complete a full control system design and analysis for a DC motor using both theoretical derivations and simulation tools. The work must be carried out accurately, professionally, and in accordance with the provided specifications.

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### 1. System Modelling

Begin by deriving the mathematical model of the DC motor system.

– Use the given physical parameters:

– Moment of inertia (J = 0.01 kgm)

– Viscous friction (b = 0.1 Nms)

– Back EMF constant (Ke = 0.01 V/rad/s)

– Torque constant (Kt = 0.01 Nm/A)

– Resistance (R = 1 )

– Assume inductance L 0

– Derive the transfer function:

1. Between angular velocity and input voltage:

[

frac{omega(s)}{V(s)}

]

2. Then derive the transfer function for angular position:

[

frac{theta(s)}{V(s)} = frac{omega(s)}{V(s)} cdot frac{1}{s}

]

– Clearly show all steps, assumptions, and simplifications.

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### 2. Closed-Loop System Representation

– Based on the provided block diagram, determine the overall closed-loop transfer function.

– Simplify the block diagram step-by-step and present the final equivalent form.

– Clearly explain each step in the simplification process.

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### 3. Controller Design (I-PD / PID)

Design a controller that satisfies the following performance requirements:

– Rise time ( t_r < 0.15 ) seconds

– Overshoot ( M_p < 5% )

– Settling time ( T_s < 0.25 ) seconds (1% criterion)

– Steady-state error = 0 (for step input)

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### 4. Gain Calculation

– Calculate controller gains:

– Proportional gain ( K_p )

– Integral gain ( K_i )

– Derivative gain ( K_d )

– Use appropriate methods such as:

– Pole placement

– Standard second-order system approximations

– Show all calculations clearly.

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### 5. Simulation (MATLAB & Simulink)

– Implement the system in Simulink, including:

– The plant (DC motor model)

– The designed controller (PID or I-PD)

– Verify that the system meets all required performance criteria.

– Extract and present response graphs (step response).

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### 6. Performance Analysis

– Analyze system behavior and discuss trade-offs:

– Effect of increasing/decreasing overshoot

– Effect on rise time and settling time

– Stability considerations

– Provide clear engineering justification.

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### 7. PID Tuning (Ziegler-Nichols Method)

– Research and explain the Ziegler-Nichols tuning method.

– Convert the controller to a standard PID structure if needed.

– Apply the tuning method and obtain new gain values.

– Compare results with the previous design.

– Validate performance using Simulink.

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### 8. Report Writing

Prepare a professional report (maximum 10 A4 pages) including:

– Introduction

– System modelling

– Controller design

– Simulation results

– Discussion

– Conclusion

– References

Requirements:

– Include all calculations

– No appendices allowed

– Use proper academic formatting and referencing

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### 9. Submission Requirements

Submit the following files:

1. PDF report

2. MATLAB script file (.m)

3. Simulink file (.slx)

– Compress all files into a single ZIP folder

– Name format: [Your Name]_[UWE ID].zip

– Submit via Moodle

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### Important Notes

– All work must be original

– Any plagiarism will result in a zero grade

– Ensure all requirements are strictly followed

– Do not leave submission until the last minute

# Coursework Task Instructions

## Sensors, Transducers and Actuators Group Report

You are required to complete this coursework professionally and ensure that all requirements are fully satisfied according to the given specification.

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# General Requirements

– This is a group project of 3 students.

– The final submission must be ONE combined report (max 15 pages).

– The work consists of:

– Part A: Individual Research (9 pages total)

– Part B: System Design & Simulation (6 pages)

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# Part A: Individual Research (For Each Student)

Each student must prepare a 3-page IEEE formatted research report on ONE type of industrial sensor.

## Task Instructions:

1. Select ONE sensor type (e.g., Temperature, Pressure, Proximity, Optical, Humidity, etc.).

2. Use recent academic sources (journals/conferences).

3. Follow IEEE format strictly.

## Report Structure:

– Title

– Abstract (max 250 words)

Brief summary of the whole paper.

– Introduction

Define the sensor, applications, importance.

– Methodology

Explain:

– Working principle

– Components

– Diagrams / graphs / tables

– Discussion

Analyze results and compare with literature.

– Conclusion

Summarize findings + improvements.

– References

IEEE citation style (minimum 58 sources).

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# Part B: System Design and Simulation (Group Work)

## Objective:

Design and simulate an automated cement bag sorting system based on size:

– Large

– Medium

– Small

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## System Description:

You must design a system that:

1. Detects bag size using sensors.

2. Uses a lifting mechanism (Lift).

3. Transfers bags to three different conveyor levels.

4. Delivers each bag to the correct storage location.

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# Required Tasks

## Task 1: Technical Requirements (10 Marks)

– Identify:

– Types of sensors (e.g., proximity/photoelectric)

– Number of sensors

– Number of conveyors

– Provide justification for each component

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## Task 2: System Design (10 Marks)

– Describe system operation step-by-step

– Include:

– Flowchart / Algorithm

– System diagram

– Explanation of control logic

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## Task 3: Programming & Simulation (10 Marks)

– Use Mitsubishi FX Simulator

– Develop:

– PLC program (preferably Ladder Logic)

– Ensure system performs:

– Detection

– Sorting

– Transfer

– Include screenshots of simulation results

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## Task 4: Presentation & Demonstration (20 Marks)

– Prepare a recorded video presentation

– Must include:

– System explanation

– Simulation running

– Sorting process demonstration

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# System Logic (Must Be Implemented)

1. When system starts conveyor runs.

2. Sensor detects bag size:

– Large send to upper level

– Medium middle level

– Small lower level

3. Lift moves based on size:

– Up / Down / Rotate

4. Conveyor moves bag to correct storage.

5. System resets and waits for next input.

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# Report Structure (Final Submission)

## Suggested Layout:

1. Cover Page

2. Table of Contents

3. Part A (3 sections one per student)

4. Part B:

– Requirements

– Design

– Simulation

– Results

5. Conclusion

6. References

7. Appendix (code + extra diagrams)

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# Important Notes

– Follow IEEE format strictly.

– Use clear diagrams and figures.

– Keep the report professional and technical.

– Avoid plagiarism (SafeAssign required).

– Include simulation proof and code.

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# Expected Outcome

By the end of this task, you must deliver:

A complete professional report

Fully working simulation

PLC program

Recorded presentation

Failure to include any of the above will result in loss of marks.

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# Final Instruction

Complete the task with high accuracy, clear technical explanation, and proper engineering justification. Ensure all parts are integrated into one final document ready for submission.