2. Theory

This section explores the theoretical foundation of the Stanford manipulator, including its history, components, and kinematic principles.

2.1 History of the Stanford Manipulator

The Stanford manipulator, a pioneering robotic arm designed at Stanford University by Victor Scheinman in 1969, revolutionized the field of robotics with its versatile design and advanced kinematics.

2.2 Components of the Stanford Manipulator

The manipulator consists of:

  • Rotation Body: Provides the base rotational motion.
  • Large Arm: Acts as the main structural component for vertical movement.
  • Extension Arm: Facilitates horizontal extension and retraction.
  • Wrist: Allows complex orientation adjustments.
  • End Effector: Performs the manipulative tasks, such as gripping.

Mechanical Components: Includes the structural parts like arms and joints, providing the physical capability to move and perform tasks.
Electronic Components: Consist of motors, sensors, and control systems that drive and regulate the manipulator's movements.

2.3 Basic Operational Principles

The manipulator has six degrees of freedom, allowing it to move in three translational and three rotational directions.

Forward kinematics involves calculating the position and orientation of the end effector based on given joint parameters. It uses the Denavit-Hartenberg (D-H) parameters to systematically describe the robot's geometry.


Inverse kinematics determines the joint parameters needed to achieve a desired position and orientation of the end effector.


Control Mechanisms:

  • Resolved Rate Motion Control: A basic control method that adjusts joint velocities to achieve a desired end effector velocity.
  • Advanced Algorithms: Include optimization techniques like genetic algorithms to enhance trajectory planning and efficiency.
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