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__Control Systems__

**PID Control Design**

For a provided transfer function, a PID controller is required to be modeled.

% Transfer function of the system

num = [1];

den = [1, 10, 20];

sys = tf(num, den);

% Design PID controller

Kp = 350;

Ki = 300;

Kd = 50;

pid_controller = pid(Kp, Ki, Kd);

% Closed-loop system

closed_loop_sys = feedback(pid_controller * sys, 1);

% Step response

figure;

step(closed_loop_sys);

title(‘Step Response of PID Controlled System’);

grid on;

__Signal Processing__

**Digital Filter Design**

By using the window technique, we need to model a low-pass FIR filter.

% Filter specifications

fs = 1000; % Sampling frequency

fc = 100; % Cut-off frequency

N = 50; % Filter order

% Design low-pass filter using Hamming window

b = fir1(N, fc/(fs/2), ‘low’, hamming(N+1));

% Frequency response of the filter

figure;

freqz(b, 1, 1024, fs);

title(‘Frequency Response of FIR Low-pass Filter’);

__Robotics__

**Path Planning for a Mobile Robot**

In a grid platform, we must execute the A* algorithm for path planning.

% Define the grid

grid = zeros(10);

grid(3, 3:6) = 1;

grid(6, 3:8) = 1;

% Define start and goal positions

start = [1, 1];

goal = [10, 10];

% Path planning using A* algorithm

path = astar(grid, start, goal);

% Plot the grid and path

figure;

imagesc(grid);

colormap(gray);

hold on;

plot(path(:,2), path(:,1), ‘r’, ‘LineWidth’, 2);

plot(start(2), start(1), ‘go’, ‘MarkerFaceColor’, ‘g’);

plot(goal(2), goal(1), ‘bo’, ‘MarkerFaceColor’, ‘b’);

title(‘Path Planning using A* Algorithm’);

grid on;

__Communication Systems__

**QPSK Modulation and Demodulation**

It is required to execute QPSK modulation and demodulation.

% Generate random binary data

data = randi([0 1], 1000, 1);

% QPSK modulation

qpskMod = comm.QPSKModulator(‘BitInput’, true);

modData = qpskMod(data);

% Add AWGN noise

rxSig = awgn(modData, 10, ‘measured’);

% QPSK demodulation

qpskDemod = comm.QPSKDemodulator(‘BitOutput’, true);

demodData = qpskDemod(rxSig);

% Calculate Bit Error Rate (BER)

[numErrors, ber] = biterr(data, demodData);

% Display results

fprintf(‘Number of Errors: %d\n’, numErrors);

fprintf(‘Bit Error Rate (BER): %.5f\n’, ber);

__Power Systems__

**Load Flow Analysis using Newton-Raphson Method**

For a basic power system, we need to carry out load flow analysis.

% Bus data: [Bus, Type, V, Angle, P, Q, Pgen, Qgen, Pload, Qload]

bus_data = [

1, 1, 1.06, 0, 0, 0, 1.5, 0.5, 0, 0;

2, 2, 1.045, 0, 0.4, 0.2, 1.0, 0.4, 0.5, 0.2;

3, 3, 1.03, 0, 0.3, 0.1, 0, 0, 0.3, 0.1

];

% Line data: [From, To, R, X, B, RateA, RateB, RateC]

line_data = [

1, 2, 0.02, 0.04, 0.01, 0, 0, 0;

1, 3, 0.01, 0.03, 0.01, 0, 0, 0;

2, 3, 0.0125, 0.025, 0.01, 0, 0, 0

];

% Run load flow analysis using Newton-Raphson method

[Ybus, V, delta, P, Q, iter] = loadflow(bus_data, line_data);

% Display results

fprintf(‘Load flow converged in %d iterations\n’, iter);

disp(‘Bus Voltages (p.u.):’);

disp(V);

disp(‘Bus Angles (degrees):’);

disp(delta);

__Biomedical Engineering__

**ECG Signal Processing**

An ECG signal must be refined and evaluated.

% Load ECG signal

load(‘ecg.mat’); % Assuming the signal is stored in ‘ecg.mat’

% Filter design

fs = 1000; % Sampling frequency

fc = [0.5, 50]; % Cut-off frequencies

[b, a] = butter(4, fc/(fs/2), ‘bandpass’);

% Apply filter

filtered_ecg = filter(b, a, ecg);

% Plot original and filtered ECG signals

figure;

subplot(2, 1, 1);

plot(ecg);

title(‘Original ECG Signal’);

subplot(2, 1, 2);

plot(filtered_ecg);

title(‘Filtered ECG Signal’);

__Mechanical Engineering__

**Finite Element Analysis**

Specifically for a 1D (one dimensional) bar, it is approachable to carry out a basic finite element analysis.

% Define material properties and geometry

E = 210e9; % Young’s modulus in Pa

A = 0.01; % Cross-sectional area in m^2

L = 1; % Length of the bar in m

n = 10; % Number of elements

% Generate mesh

x = linspace(0, L, n+1);

K = zeros(n+1); % Global stiffness matrix

% Element stiffness matrix

ke = E * A / (x(2) – x(1)) * [1 -1; -1 1];

% Assemble global stiffness matrix

for i = 1:n

K(i:i+1, i:i+1) = K(i:i+1, i:i+1) + ke;

end

% Apply boundary conditions and load

F = zeros(n+1, 1);

F(end) = 1000; % Apply load at the end node

K(1, 🙂 = 0; K(:, 1) = 0; K(1, 1) = 1; % Fixed boundary at the start

% Solve for displacements

U = K \ F;

% Plot displacement

figure;

plot(x, U, ‘-o’);

title(‘Displacement of the 1D Bar’);

xlabel(‘Position along the bar (m)’);

ylabel(‘Displacement (m)’);

grid on;

__Civil Engineering__

**Structural Analysis of a Truss**

Basic truss architecture is meant to be evaluated.

% Node coordinates

nodes = [0, 0; 1, 1; 2, 0];

% Connectivity matrix (each row: [node1, node2])

elements = [1, 2; 2, 3; 1, 3];

% Material properties

E = 210e9; % Young’s modulus in Pa

A = 0.01; % Cross-sectional area in m^2

% External forces (each row: [Fx, Fy])

forces = [0, 0; 0, -1000; 0, 0];

% Boundary conditions (1: fixed, 0: free)

fixed_nodes = [1, 1; 0, 0; 1, 0];

% Run truss analysis

[displacements, reactions, element_forces] = truss_analysis(nodes, elements, E, A, forces, fixed_nodes);

% Display results

disp(‘Node Displacements:’);

disp(displacements);

disp(‘Reaction Forces:’);

disp(reactions);

disp(‘Element Forces:’);

disp(element_forces);

**MATLAB Simulink Online Services**

Acquire the assistance of our MATLAB Solution Online Services to guide you in carrying out complicated projects. Across various research subjects, some of the sample concepts are proposed by us that offer an initial phase for extensive investigation of MATLAB findings:

__Control Systems__

**PID Control Design:**For a provided system, a PID controller should be modeled.**State Space Control:**State-space controllers are required to be evaluated and modeled.**Robust Control:**Considering indefinite systems, effective control tactics must be executed.**Optimal Control:**Utilize LQR/LQG to model optimal controllers.**Nonlinear Control:**Nonlinear systems have to be evaluated and regulated.**Adaptive Control:**It is advisable to execute adaptive control methods.**Digital Control:**Specifically for constrained systems, digital controllers ought to be modeled.**Model Predictive Control:**Regarding process control, we need to execute the MPC method.**Sliding Mode Control:**A sliding mode controller has to be modeled for advanced efficiency.**H-Infinity Control:**As regards effectiveness and functionalities, it is approachable to execute the H-infinity control method.

__Signal Processing__

**Fourier Transform:**The Fourier transform is required to be estimated and evaluated.**Digital Filter Design:**FIR and IIR filters must be modeled and executed.**Wavelet Transform:**For signal processing, we have to conduct wavelet analysis.**Signal Compression:**It is required to execute signal compression methods.**Noise Reduction:**Considering the signals, implement the noise mitigation techniques.**Speech Processing:**Speech signals are supposed to be evaluated and processed.**Image Filtering:**Especially for images, diverse filters have to be executed.**Signal Reconstruction:**From loud remarks, our team intends to reconfigure the signals.**Audio Signal Processing:**Audio signals are meant to be operated and evaluated.**Real-Time Signal Processing:**We should emphasize on application of real-time signal processing algorithms.

__Robotics__

**Inverse Kinematics:**For robotic arms, we should estimate the inverse kinematics.**Path Planning:**Path planning algorithms such as A* has to be executed.**Robot Localization:**Utilize sensor data to conduct robot localization.**SLAM:**Simultaneous localization and mapping must be executed.**Robot Vision:**Considering robots, we must acquire the benefit of computer vision methods.**Multi-Robot Coordination:**Regarding the particular task, integrate several robots.**Robotic Arm Control:**A robotic manipulator should be regulated.**Autonomous Navigation:**For mobile robots, we need to execute navigation algorithms.**Obstacle Avoidance:**Obstacle avoidance algorithms ought to be developed in an efficient manner.**Humanoid Robot Control:**A humanoid robot is meant to be regulated.

__Communication Systems__

**Modulation Techniques:**Diverse modulation policies have to be executed.**Error Correction Codes:**Error rectification codes must be modeled and decrypted.**MIMO Systems:**MIMO communication systems should be simulated.**Channel Estimation:**The parameters of a communication channel are supposed to be computed.**OFDM Systems:**OFDM systems are required to be modeled and evaluated.**Antenna Design:**We have to create and evaluate antennas.**Network Protocols:**Network protocols such as TCP/IP are meant to be simulated.**Cognitive Radio:**Focus on the application of cognitive radio methods.**Wireless Sensor Networks:**Wireless sensor networks must be simulated.**Satellite Communication:**Here, we should explore and evaluate the satellite communication systems.

__Power Systems__

**Load Flow Analysis:**Acquire the benefit of Newton-Raphson to carry out evaluation on flow of loads.**Economic Dispatch:**The economic discharge of power generators need to be enhanced.**Fault Analysis:**In power systems, we have to evaluate the defects.**Stability Analysis:**Considering the power systems, it is required to conduct analysis on flexibility.**Power Quality:**Power quality problems are supposed to be evaluated.**Microgrid Simulation:**Microgrids are meant to be simulated and evaluated.**Renewable Energy Integration:**Renewable energy sources must be synthesized.**Energy Storage Systems:**Energy storage systems have to be designed and simulated.**Demand Response:**We need to focus on execution of demand response tactics.**Distributed Generation:**Distributed generation systems should be evaluated by us.

__Biomedical Engineering__

**ECG Signal Analysis:**ECG signals are required to be operated and evaluated.**EEG Signal Processing:**For brain functions, we have to evaluate EEG signals.**Medical Image Processing:**Medical images are supposed to be operated and evaluated.**Biomechanics:**Biomechanical systems must be simulated and evaluated.**Drug Delivery Systems:**Drug delivery systems are meant to be designed effectively.**Prosthetic Design:**Focus on enhancing and assessing prosthetic devices.**Biomedical Sensors:**From biomedical sensors, we need to operate the data.**Telemedicine:**It is required to execute telemedicine systems.**Patient Monitoring:**Patient monitoring systems should be created by us.**Bioinformatics:**Use computational techniques to evaluate the biological data.

__Mechanical Engineering__

**Finite Element Analysis:**On the basis of mechanical frameworks, we have to conduct FEA.**Vibration Analysis:**In mechanical systems, it is required to evaluate the vibrations.**Heat Transfer Simulation:**Regarding the systems, focus on simulating heat distribution.**Fluid Dynamics:**Make use of CFD to simulate fluid flow.**Mechanism Design:**Mechanical technologies should be modeled and evaluated.**Dynamics and Control:**The kinetics and regulation of systems must be assessed.**Manufacturing Processes:**Fabrication process is meant to be simulated.**Thermodynamics:**Temperature cycles and functions are supposed to be evaluated.**Structural Analysis:**Considering the elements, carry out structural analysis.**Materials Science:**The feature of materials has to be simulated.

__Civil Engineering__

**Structural Design:**Civil engineering works are supposed to be modeled and evaluated.**Construction Management:**We need to focus on enhancing project plans.**Transportation Engineering:**Transportation networks are required to be simulated.**Water Resources Engineering:**The process of water supply has to be designed and simulated.**Geotechnical Engineering:**Soil-structure communications must be evaluated.**Environmental Engineering:**Effective environmental systems should be created.**Urban Planning:**Urban growth needs to be simulated and enhanced.**Bridge Design:**Layouts of bridge are intended to be modeled and evaluated.**Hydraulic Engineering:**We have to simulate hydraulic systems.**Building Information Modeling:**As regards construction works, execute the BIM method.

__Aerospace Engineering__

**Flight Dynamics:**The kinetics of aircraft is meant to be evaluated.**Spacecraft Trajectory:**Generally, the path of spacecraft is required to be simulated.**Propulsion Systems:**Focus on designing and simulating effective propulsion systems.**Aeroelasticity:**Aeroelastic events should be evaluated.**Control of UAVs:**For UAVs, we need to develop control systems.**Satellite Systems:**Satellite systems are supposed to be designed and simulated.**Air Traffic Management:**Air traffic management systems must be simulated effectively.**Hypersonic Vehicles:**Emphasize on evaluation of hypersonic flight dynamics.**Rocket Propulsion:**Rocket propulsion systems are meant to be simulated.**Space Mission Design:**We have to schedule and simulate the space missions in an effective manner.

__Chemical Engineering__

**Reaction Engineering:**It is advisable to simulate the chemical reactions and chemical chambers.**Process Control:**For chemical processes, we need to execute efficient control tactics.**Separation Processes:**Separation processes such as distillation need to be simulated.**Thermodynamics:**Thermodynamic features and processes are required to be evaluated.**Transport Phenomena:**In systems, we have to design the transport process.**Biochemical Engineering:**Here, our team focuses on simulating biochemical functions.**Energy Systems:**Considering the chemical operations, energy consumption ought to be reduced.**Catalysis:**The responses and procedures of the catalytic should be designed.**Polymer Processing:**Crucially, the functions of polymers are supposed to be simulated by us.**Environmental Impact:**As regards the process, it is required to assess the ecological implications.

Regarding different engineering areas like robotics, biomedical engineering, communication systems and more, we offer a thorough MATLAB solution with a sample program. For research purposes, a collection of 100 topics are briefly discussed above.