engineering

Robotics & Control Systems

PID controllers, robot kinematics, swarm behavior, and path planning — the algorithms that make machines move intelligently in the real world.

roboticsPID controllerkinematicsswarm intelligencepath planningcontrol systems

Robotics sits at the intersection of mechanical engineering, electrical engineering, and computer science. From a single robotic arm assembling circuit boards to a swarm of drones surveying a disaster zone, every robotic system must solve the same core problems: sensing, planning, and actuation. The mathematics of control theory, kinematics, and path planning form the backbone of modern robotics.

These simulations let you tune a PID controller in real time, manipulate a robot arm through inverse kinematics, watch emergent swarm behavior unfold, visualize forward kinematics chains, and compare path-planning algorithms on randomized obstacle maps.

5 interactive simulations

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Robot Arm Inverse Kinematics Simulator

Drag a target point and watch a 2-link robot arm solve inverse kinematics in real time — see the elbow-up and elbow-down solutions

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Robot Path Planning (RRT/PRM) Simulator

Compare RRT and PRM path-planning algorithms on a randomized obstacle map — watch the tree grow and find a collision-free path

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PID Controller Tuning Simulator

Tune a PID controller in real time — adjust proportional, integral, and derivative gains to minimize overshoot and settling time

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Robot Arm Forward Kinematics Simulator

Manipulate joint angles of a multi-link robot arm and watch the end-effector trace its path — visualizing forward kinematics and the Denavit-Hartenberg convention

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Swarm Robotics Emergent Behavior Simulator

Watch simple local rules produce complex emergent swarm behavior — adjust cohesion, alignment, and separation to see flocking, clustering, and dispersion