Workflow

This is an ambitious and comprehensive project that mirrors the real-world workflow of a robotics engineer. Since you are targeting a professional execution, the following guide breaks down your project into logical phases, integrating the specific requirements of your course at Ain Shams University with industry-standard practices.

Global Foundations & Commonalities

Before diving into specific phases, establish a solid foundation with these high-level resources and paradigms.

1. Essential Textbooks (The "Big Three")

• "Introduction to Robotics: Mechanics and Control" by John Craig: The industry standard for DH parameters and basic kinematics.

• "Robot Modeling and Control" by Mark Spong, Seth Hutchinson, and M. Vidyasagar: Excellent for dynamic modeling and control theory.

• "Modern Robotics: Mechanics, Planning, and Control" by Kevin Lynch and Frank Park: Provides a modern geometric approach (Screw Theory), which is highly valued in advanced research.

2. General Resources

• Video Lectures: Professor Oussama Khatib’s (Stanford) "Introduction to Robotics" on YouTube is legendary for intuition.

• Software Toolbox: Peter Corke’s Robotics Toolbox for MATLAB. While your project requires using the official MathWorks Toolbox, Corke’s book Robotics, Vision and Control is the best practical guide for implementing these concepts in MATLAB.

3. Global Design Philosophies

• The "Digital Twin" Concept: Treat your Simulink/Simscape model as the "truth." Every analytical derivation should be verified against the physics engine.

• Modular Programming: Don't write one giant script. Use functions for Forward Kinematics (FK), Inverse Kinematics (IK), and the Jacobian. This makes Method 1 and Method 2 comparisons much easier.

• Version Control: Use Git/GitHub. Professionals never work without it. It will also help you manage the "Responsibility Statement" by tracking who wrote which code.

Phase 1: Robot Selection & System Definition

Identifying the "physical" parameters of your system.

• Topics to Study: Degrees of Freedom (DOF), joint limits, workspace envelopes, and CAD-to-URDF conversion.

• Resources: Official datasheets for the ABB IRB 120 or Franka Emika Panda. For a DIY robot, review your "Design of Mechatronic Systems" documentation.

• Professional Tools: * SolidWorks/Fusion 360: To extract Mass, Center of Gravity (CoG), and Inertia Tensors for dynamic modeling.

  • URDF (Unified Robot Description Format): The industry standard for describing robots in ROS and MATLAB.

• Philosophy: "Garbage In, Garbage Out." Accurate physical parameters (link lengths, masses) are the foundation of everything that follows.

Phase 2: Kinematic & Workspace Analysis

The geometry of motion.

• Topics to Study: * DH Parameters: Assigning frames correctly (Standard vs. Modified).

  • Analytical IK: Solving systems of trigonometric equations (e.g., Pieper’s solution for robots with spherical wrists).

  • Workspace Mapping: Point cloud generation and reachability analysis.

• Resources: MATLAB Documentation on rigidBodyTree and inverseKinematics.

• Professional Tools: * MATLAB Symbolic Toolbox: Use this to derive your analytical $T$ matrices manually for Method 1.

  • MoveIt (ROS): Professional tool for motion planning and kinematic constraints.

• Philosophy: Verification through Loop-back. Always check if $FK(IK(Target))=Target$. If the error is greater than ${10}^{-6}$, your analytical IK has a bug.

Phase 3: Jacobian & Dynamic Modeling

Forces, velocities, and singularities.

• Topics to Study: * Geometric Jacobian: Relationship between joint velocities and end-effector linear/angular velocities.

  • Singularity Analysis: Identifying where $det(J)=0$.

  • Recursive Newton-Euler (RNEA) vs. Euler-Lagrange: Understanding which is better for computation vs. derivation.

• Resources: Professor Angela Schoellig’s lectures on Robot Dynamics (University of Toronto).

• Professional Tools: * Maple: Often used by professionals for massive symbolic derivations that MATLAB struggles with.

  • Simscape Multibody: To "automatically" handle dynamics via physical blocks for Method 3.

• Philosophy: Energy Consistency. In a lossless simulation, the total energy (Kinetic + Potential) should stay constant if no external work is done. Use this to validate your Method 1 dynamics.

Phase 4: Trajectory Planning & Task Simulation

Defining how the robot moves from A to B.

• Topics to Study: * Cubic & Quintic Polynomials: For $C^2$ continuity (smooth acceleration).

  • Trapezoidal Velocity Profiles: Industry standard for "S-curve" motion.

  • Cartesian vs. Joint Space: Understanding when to use jtraj vs. ctraj.

• Resources: "Modern Robotics" Chapter 9 on Trajectory Generation.

• Professional Tools: * MATLAB Navigation Toolbox: For advanced path planning.

  • Gazebo: A high-fidelity physics simulator used in professional R&D.

• Philosophy: Jerk Minimization. In the real world, high jerk (derivative of acceleration) destroys motors and gearboxes. Aim for $C^2$ continuity.

Phase 5: Control Design & Integration

Ensuring the robot follows the plan accurately.

• Topics to Study: * Computed Torque Control (CTC): A nonlinear control technique that uses the dynamic model to linearize the system.

  • PID Tuning: Dealing with gravity compensation and friction.

  • Stability Analysis: Using Lyapunov methods to ensure tracking error goes to zero.

• Resources: Control Tutorials for MATLAB and Simulink (CTMS) – an incredible web resource.

• Professional Tools: * Simulink Control Design: To automatically tune PID loops.

  • EtherCAT/CANopen: Real-world communication protocols for sending control signals to motors.

• Philosophy: Inner-Outer Loop Architecture. Design a fast inner loop for torque/current and a slower outer loop for position tracking.

Final Comparison & Delivery

This is where you earn the "Professional" badge.

• The Comparative Study: Don't just show they match. Explain why they differ. Is it numerical integration error in Simscape? Is it a rounding error in your manual script?

• Deliverables: Ensure your code is "self-documenting" (use comments!) and your README is clear.

One final tip for a 10/10 project: Use LaTeX for your technical report. In the professional engineering world, a document's formatting is the first indicator of its technical rigor.