Category: uncategorised

You are required to complete the Control Systems coursework accurately and professionally. Follow the instructions below step by step to ensure a complete and correct submission.

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### 1. System Modelling

Begin by modelling the DC motor system based on the given parameters in the assignment.

– Use the electrical and mechanical equations of the DC motor.

– Assume armature inductance (L = 0).

– Ignore load torque as stated.

Your tasks:

1. Derive the transfer function:

– From input voltage (V(s)) to angular velocity (omega(s))

2. Then derive:

– From input voltage (V(s)) to angular position (theta(s))

All steps must be clearly shown, including:

– KVL equation

– Torque equation

– Laplace transform

– Final simplified transfer function

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### 2. Closed-Loop System

– Construct the full block diagram including the controller.

– Simplify the closed-loop system into a single transfer function.

– Show all block diagram reduction steps clearly.

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### 3. Controller Design (IPD / PID)

Design a controller that satisfies the required performance specifications.

Performance requirements:

– Rise time (t_r < 0.15s)

– Overshoot (M_p < 5%)

– Settling time (T_s < 0.25s)

– Steady-state error = 0

Tasks:

– Calculate controller gains:

– (K_p)

– (K_i)

– (K_d)

– Use appropriate methods such as:

– Pole placement

– Standard second-order system relations

– Clearly justify your design choices.

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### 4. Simulation (MATLAB & Simulink)

– Implement the full system in Simulink.

– Include:

– Plant (DC motor transfer function)

– PID controller

– Feedback loop

– Verify that the system meets all performance requirements.

– Provide:

– Step response graph

– Measured values (rise time, overshoot, settling time)

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### 5. Ziegler-Nichols Tuning

– Research the Ziegler-Nichols tuning method.

– Convert the system to a standard PID structure (if required).

– Apply the tuning method.

– Compare results with your designed controller.

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### 6. Discussion

Provide a detailed discussion including:

– Effect of increasing/decreasing:

– Overshoot

– Rise time

– Settling time

– Trade-offs between performance parameters

– Comparison between manual design and Ziegler-Nichols results

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### 7. Report Writing

Prepare a professional report including:

1. Introduction

2. System Modelling

3. Controller Design

4. Simulation Results

5. Ziegler-Nichols Method

6. Discussion

7. Conclusion

8. References

Important notes:

– Maximum 10 pages (A4)

– No appendices allowed

– All calculations must be included

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### 8. Submission Requirements

Submit the following:

– Word and PDF report

– MATLAB file (.m)

– Simulink file (.slx)

Compress all files into a single ZIP folder named as:

[Your Name]_[Your UWE ID].zip

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Ensure the work is original, well-structured, and clearly explained. Any missing steps, unclear calculations, or failure to meet performance criteria will result in mark deductions.

Complete the task with full accuracy and engineering-level quality.

Project Assignment: Six-Band Audio LED Visualizer (Complete Implementation)

You are required to fully design, simulate, implement, and document a Six-Band Audio Level Display System based on analog signal processing principles. The final outcome must be accurate, functional, and professionally presented.

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## Objective

Develop a complete system that:

– Accepts an audio input signal

– Splits it into six distinct frequency bands

– Drives six LEDs, each representing a specific frequency range

– Demonstrates correct behavior through simulation and testing

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## System Requirements

### 1. Circuit Design (MANDATORY)

Design a complete and correct circuit that includes:

#### A. Input Stage

– Audio input (Microphone module or AUX input)

– Signal conditioning (biasing and amplification if needed)

#### B. Filter Bank (Core of the system)

Design six active filters using Op-Amps:

| Band | Frequency Range |

|——|—————-|

| A | 0 60 Hz |

| B | 60 250 Hz |

| C | 250 500 Hz |

| D | 500 Hz 1 kHz |

| E | 1 2 kHz |

| F | 2 4 kHz |

– Use band-pass filters

– Clearly calculate and justify all resistor and capacitor values

– Ensure proper separation between bands

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#### C. Detection Stage

– Convert AC signal to DC using:

– Rectifier (Diode-based or Precision Rectifier)

– Smooth the signal using a capacitor

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#### D. Output Stage

– Each band must drive:

– One LED

– With proper current-limiting resistor

– LEDs must respond to signal strength (brightness or ON/OFF)

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## 2. Simulation (VERY IMPORTANT)

You must:

– Use Proteus or Multisim

– Draw the full schematic clearly

– Label all components and values

### REQUIRED:

Record a video showing:

1. Input signal applied (Function Generator)

2. Changing frequency step-by-step:

– 50 Hz

– 100 Hz

– 300 Hz

– 700 Hz

– 1500 Hz

– 3000 Hz

3. Show that:

– Each LED turns ON only at its corresponding band

The video must clearly prove that the circuit works correctly.

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## 3. Testing & Verification

– Use Function Generator for controlled signals

– Use Oscilloscope (DSO) with FFT if available

– Verify:

– Each band responds to correct frequency

– No overlapping errors

– Clean signal behavior

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## 4. Calculations (MANDATORY)

Provide:

– Filter design equations

– Cutoff frequencies

– Component selection justification

– Bode plots (gain vs frequency)

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## 5. Final Report (Professional)

Structure:

### 1. Introduction

– Project idea and purpose

### 2. Design

– Block diagram

– Circuit diagrams

– Explanation of each stage

### 3. Results

– Simulation screenshots

– Tables and graphs

– Observations

### 4. Discussion

– Problems faced

– Solutions applied

– Improvements

### 5. Conclusion

– Final system performance

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## 6. Evidence Required

– Screenshots of simulation

– Circuit diagram

– Video recording of working system

– Optional: Real hardware photos (if implemented)

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## Important Notes

– The circuit must be fully functional and accurate

– Component values must be calculated, not random

– Simulation must clearly demonstrate correct band separation

– Keep the design efficient (minimum components where possible)

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## Final Deliverables

1. Complete circuit design (correct and tested)

2. Simulation file (Proteus/Multisim)

3. Video showing working circuit

4. Full report ( 10 pages)

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## Expectation

The final system must behave as a real audio spectrum visualizer, where each LED accurately represents its assigned frequency band.