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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Important dates

Course Commencement Date

Start Date : 20 Jan, 2025

End Date : 11 Apr, 2025

Enrollment Date

End Date : 27 Jan, 2025

Certificate Exam Date

Start Date : 03 May, 2025

Other

End Date : 14 Feb, 2025

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesAhmedabad University

The Syllabus

  • Rigid body and coordinate systems, position and orientation, rotation matrices and their properties, Euler angles, quaternions, homogeneous transformation matrices and their properties, examples

  • Linear and angular velocity of a rigid body, skew symmetric angular velocity matrix, space fixed and body fixed angular velocity, linear and angular acceleration, Coriolis/centripetal acceleration, velocities and accelerations in terms of Euler angles/quaternions, examples

  • Joints in multi-body systems, joint variables, Degree-of-freedom and constraints due to a joint and in multi-body systems, holonomic and non-holonomic constraints, velocity and acceleration of rigid bodies in a multi-body system, alternate system of coordinates and resulting constraints, examples

  • Mass and inertia of a rigid body, Properties of inertia matrix, external forces and moments acting on a rigid body -- gravity, friction, actuator torque/forces, angular momentum – example of spinning top and gyroscope.

  • Free-body diagram, Newton-Euler formulation and equations of motion, Introduction to recursive formulations, examples.

  • Equations of motion using Lagrangian formulation – rolling of a thin disk in 3D, two link robot and 4-bar mechanism, solution of equations of motion in Matlab, comparison between Newton-Euler and Lagrangian formulation.

  • Modeling and simulation of multi-body systems using computer tools, examples using Simscape.

  • Linearization of equations of motion, state space formulation, state variables, solution of state equations

  • Stability, controllability and observability in SISO systems, examples

  • Root locus and Bode plots, relationships between classical and state space approaches

  • Design of controllers using state space and root locus.

  • Case studies in modeling and control – planar robot, pendulum on a cart, stabilization using gyroscope etc.

Instructors

Articles

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