Chapter 2: Advanced Kinematics and Dynamics - Robotics Advance
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Chapter 2: Advanced Kinematics and Dynamics

Chapter 2: Advanced Kinematics and Dynamics

16 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 2
    Advanced Kinematics And Dynamics

    This section delves into the mathematical principles of advanced robotic...

  2. 2.1
    Forward And Inverse Kinematics For Complex Systems

    This section discusses the principles of forward and inverse kinematics,...

  3. 2.1.1
    Forward Kinematics (Fk)

    Forward kinematics involves calculating the position and orientation of a...

  4. 2.1.2
    Inverse Kinematics (Ik)

    Inverse kinematics (IK) determines the joint movements needed to achieve a...

  5. 2.2
    Redundant Manipulators And Closed Kinematic Chains

    This section discusses redundant manipulators and closed kinematic chains in...

  6. 2.2.1
    Redundant Manipulators

    Redundant manipulators possess more degrees of freedom than necessary for...

  7. 2.2.2
    Closed Kinematic Chains

    Closed kinematic chains are structures in robotics that form loops, enabling...

  8. 2.3
    Jacobian Analysis And Singularities

    This section covers the Jacobian matrix's role in robotics, focusing on its...

  9. 2.3.1
    What Is The Jacobian?

    The Jacobian matrix relates joint velocities to end-effector velocities,...

  10. 2.3.2
    Singularities

    Singularities in robotic motion occur when the Jacobian Matrix loses rank,...

  11. 2.4
    Lagrangian And Newton-Euler Dynamic Modeling

    This section introduces dynamic modeling for robotics using the Lagrangian...

  12. 2.4.1
    Newton-Euler Formulation

    The Newton-Euler formulation provides a systematic method to calculate...

  13. 2.4.2
    Lagrangian Formulation

    The Lagrangian formulation is a method for modeling robot dynamics based on...

  14. 2.5
    Force And Torque Control Frameworks

    This section discusses the critical concepts of force and torque control in...

  15. 2.5.1
    Force Control

    This section covers the fundamental principles of force and torque control...

  16. 2.5.2
    Torque Control

    Torque control involves commanding how much rotational force each joint...

What we have learnt

  • Forward and inverse kinematics are critical for mapping the motion between joint and task spaces.
  • Redundant manipulators enhance flexibility and maneuverability, while closed kinematic chains contribute to load-bearing and stiffness.
  • Jacobian matrices are essential in understanding the relationship between end-effector velocities and joint velocities, particularly in detecting singularities.
  • Dynamic modeling is performed using Newton-Euler and Lagrangian methods to simulate robot motions under various forces.
  • Force and torque control strategies are vital for tasks requiring physical interactions.

Key Concepts

-- Forward Kinematics
The process of determining the position and orientation of a robot's end-effector based on known joint parameters.
-- Inverse Kinematics
The method of calculating the joint parameters needed to achieve a desired position and orientation of the end-effector.
-- Redundant Manipulators
Robotic systems with more degrees of freedom than necessary, allowing for greater flexibility in motion and obstacle avoidance.
-- Jacobian Matrix
A matrix that relates joint velocities to end-effector velocities, used for velocity and acceleration calculations.
-- Dynamic Modeling
The mathematical formulation of how forces and torques affect robot motion, enabling predictions based on control inputs.
-- Force Control
A control strategy ensuring a robot applies a specific force to interact physically with its environment.
-- Torque Control
A technique that commands the amount of rotational force each joint motor should exert, enhancing compliance and adaptability.

Additional Learning Materials

Supplementary resources to enhance your learning experience.