Interactive Robotics Calculators
Explore fundamental robotics concepts through interactive calculations and simulations. These tools demonstrate core algorithms used in modern robotics engineering.
Interactive Robotics Calculators
DH Parameters
| Joint | a (mm) | α (deg) | d (mm) | θ (deg) |
|---|---|---|---|---|
| 1 | ||||
| 2 | ||||
| 3 |
Forward & Inverse Kinematics
Calculate end-effector positions from joint angles (forward) or determine required joint angles for desired positions (inverse).
3D Transformations
Transform points between coordinate frames using translation and rotation matrices. Essential for multi-robot coordination and sensor fusion.
Trajectory Planning
Generate smooth motion profiles with velocity and acceleration constraints. Critical for precise robotic movements and path following.
PID Controller Tuning
Simulate and tune PID controllers for optimal system response. Understand the effects of proportional, integral, and derivative gains.
Sensor Fusion
Combine multiple sensor readings for improved accuracy and reliability. Demonstrates weighted averaging and uncertainty propagation.
Mathematical Foundations
These calculators implement core mathematical concepts including linear algebra, differential equations, and optimization algorithms used throughout robotics.
Technical Implementation Notes
Algorithms Implemented
- • Denavit-Hartenberg (DH) parameter conventions
- • Damped least-squares inverse kinematics
- • Quintic polynomial trajectory generation
- • Classical PID control with anti-windup
- • Weighted sensor fusion algorithms
Real-World Applications
- • Industrial robotic arms and manipulators
- • Autonomous vehicle navigation systems
- • CNC machine tool path planning
- • Drone flight control and stabilization
- • Multi-sensor localization systems
Note: These calculators provide simplified implementations for educational purposes. Production robotics systems require additional considerations including safety constraints, real-time performance optimization, and robust error handling.
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