Building block diagrams in MATLAB - Mini Project: Build & Apply

Building Block Diagrams

📖 Scenario: You are designing a simple control system using block diagrams. Each block represents a system component with a transfer function. You want to combine these blocks to see the overall system behavior.

🎯 Goal: Build a MATLAB script that creates transfer functions for two blocks, connects them in series, and then displays the combined transfer function.

📋 What You'll Learn

Create two transfer functions named G1 and G2 with given numerator and denominator coefficients

Create a variable sys_series that represents the series connection of G1 and G2

Display the combined transfer function sys_series using disp

💡 Why This Matters

🌍 Real World

Control engineers use block diagrams and transfer functions to model and analyze systems like robots, cars, and airplanes.

💼 Career

Understanding how to build and combine transfer functions is essential for designing and tuning control systems in engineering jobs.

1

Create transfer function blocks

Create two transfer functions called G1 and G2 using tf. Set G1 numerator to [1 3] and denominator to [1 5 6]. Set G2 numerator to [2] and denominator to [1 4].

MATLAB

% Your code here to create G1 and G2 transfer functions

Hint

Use the tf function with numerator and denominator vectors to create transfer functions.

2

Connect blocks in series

Create a variable called sys_series that connects G1 and G2 in series using the series function.

MATLAB

G1 = tf([1 3], [1 5 6]);
G2 = tf([2], [1 4]);
% Your code here to connect G1 and G2 in series

Hint

Use series(G1, G2) to connect the two transfer functions in series.

3

Display the combined transfer function

Use disp to display the transfer function stored in sys_series.

MATLAB

G1 = tf([1 3], [1 5 6]);
G2 = tf([2], [1 4]);
sys_series = series(G1, G2);
% Your code here to display sys_series

Hint

Use disp(sys_series) to print the transfer function to the command window.

4

Run the script and observe output

Run the script to see the combined transfer function output in the MATLAB command window.

MATLAB

G1 = tf([1 3], [1 5 6]);
G2 = tf([2], [1 4]);
sys_series = series(G1, G2);
disp(sys_series); % Run to see output

Hint

Run the script by pressing the Run button or typing the script name in the command window.

Practice

1. What is the primary purpose of building block diagrams in MATLAB Simulink?

easy

A. To write MATLAB scripts faster

B. To create 3D plots of data

C. To visually represent and simulate system behavior

D. To debug MATLAB code line by line

Solution

1. Step 1: Understand the role of block diagrams

   Block diagrams in Simulink are used to visually model systems by connecting blocks that represent components.

2. Step 2: Identify the main use

   They help simulate and analyze system behavior, not for scripting or plotting.

3. Final Answer:

   To visually represent and simulate system behavior -> Option C

4. Quick Check:

   Block diagrams = Visual system simulation [OK]

Hint: Block diagrams show system flow visually, not code or plots [OK]

Common Mistakes:

• Confusing block diagrams with MATLAB code scripts
• Thinking block diagrams create plots
• Assuming block diagrams debug code

2. Which of the following is the correct way to add a Gain block in a Simulink model using MATLAB command line?

easy

A. add_block('simulink/Math Operations/Gain', 'model/Gain1')

B. add_block('simulink/Sinks/Gain', 'model/Gain1')

C. add_block('simulink/Sources/Gain', 'model/Gain1')

D. add_block('simulink/Commonly Used Blocks/Gain', 'model/Gain1')

Solution

1. Step 1: Identify the correct library path for Gain block

   The Gain block is located under 'simulink/Math Operations' in Simulink library.

2. Step 2: Match the command syntax

   The command add_block('simulink/Math Operations/Gain', 'model/Gain1') correctly adds the Gain block to the model.

3. Final Answer:

   add_block('simulink/Math Operations/Gain', 'model/Gain1') -> Option A

4. Quick Check:

   Gain block path = Math Operations [OK]

Hint: Gain block is under Math Operations library [OK]

Common Mistakes:

• Using wrong library path for Gain block
• Confusing Sources or Sinks with Gain block location
• Incorrect syntax in add_block command

3. Consider this MATLAB code snippet for a Simulink model:

open_system('myModel');
add_block('simulink/Sources/Step', 'myModel/Step1');
add_block('simulink/Sinks/Scope', 'myModel/Scope1');
add_line('myModel', 'Step1/1', 'Scope1/1');

What will this code do?

medium

A. Create a model with a Step input but no connections

B. Create a model with a Step input connected to a Scope block

C. Create a model with a Gain block connected to a Scope block

D. Produce an error because add_line syntax is incorrect

Solution

1. Step 1: Analyze blocks added

   The code adds a Step block (input) and a Scope block (output) to the model 'myModel'.

2. Step 2: Analyze connection

   The add_line command connects output port 1 of Step1 to input port 1 of Scope1, linking input to output.

3. Final Answer:

   Create a model with a Step input connected to a Scope block -> Option B

4. Quick Check:

   Step block connected to Scope = Model created [OK]

Hint: add_line connects blocks by port numbers correctly [OK]

Common Mistakes:

• Confusing block types added
• Assuming no connection was made
• Thinking add_line syntax is wrong

4. You try to connect two blocks in Simulink using:

add_line('model', 'BlockA/1', 'BlockB/2');

but get an error. What is the most likely cause?

medium

A. add_line requires port numbers as strings, not numbers

B. BlockA does not have an output port 1

C. The model name is incorrect

D. BlockB does not have a second input port

Solution

1. Step 1: Understand port numbering

   Port numbers must exist on blocks; if BlockB/2 does not exist, connection fails.

2. Step 2: Check common error

   Most blocks have input port 1, but not all have a second input port, causing error.

3. Final Answer:

   BlockB does not have a second input port -> Option D

4. Quick Check:

   Invalid port number causes add_line error [OK]

Hint: Check if destination port exists before connecting [OK]

Common Mistakes:

• Assuming port numbers can be any number
• Thinking add_line syntax requires strings for ports
• Ignoring model name correctness

5. You want to create a Simulink model programmatically that sums two signals and then multiplies the result by 5. Which sequence of commands correctly builds this model?

hard

A. add_block('simulink/Math Operations/Sum', 'model/Sum1');
add_block('simulink/Math Operations/Gain', 'model/Gain1');
set_param('model/Gain1', 'Gain', '5');
add_line('model', 'Sum1/1', 'Gain1/1');

B. add_block('simulink/Math Operations/Gain', 'model/Gain1');
set_param('model/Gain1', 'Gain', '5');
add_block('simulink/Math Operations/Sum', 'model/Sum1');
add_line('model', 'Gain1/1', 'Sum1/1');

C. add_block('simulink/Math Operations/Sum', 'model/Sum1');
add_block('simulink/Math Operations/Gain', 'model/Gain1');
set_param('model/Gain1', 'Gain', '5');
add_line('model', 'Gain1/1', 'Sum1/1');

D. add_block('simulink/Math Operations/Sum', 'model/Sum1');
add_block('simulink/Math Operations/Gain', 'model/Gain1');
set_param('model/Gain1', 'Gain', '5');
add_line('model', 'Sum1/1', 'Gain1/2');

Solution

1. Step 1: Add Sum and Gain blocks correctly

   Sum block adds two inputs; Gain block multiplies by 5. Both blocks are added properly.

2. Step 2: Set Gain parameter and connect Sum output to Gain input

   Gain is set to 5. The output port 1 of Sum connects to input port 1 of Gain.

3. Final Answer:

   Correct sequence with Sum output connected to Gain input and Gain set to 5 -> Option A

4. Quick Check:

   Sum -> Gain with Gain=5 is correct [OK]

Hint: Connect Sum output to Gain input; set Gain parameter after adding block [OK]

Common Mistakes:

• Connecting Gain output to Sum input (wrong direction)
• Using wrong port numbers for connections
• Not setting Gain parameter correctly