Symbolic computation of the inverse dynamics of elastic joint robots

Efficient calculation of the inverse dynamics of robotic mechanisms serves as a basis for a variety of control schemes. Classical algorithms for rigid multibody systems do not apply when more realistic modeling is required. The computational treatment of the emerging non-linear equations augmented b...

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description Efficient calculation of the inverse dynamics of robotic mechanisms serves as a basis for a variety of control schemes. Classical algorithms for rigid multibody systems do not apply when more realistic modeling is required. The computational treatment of the emerging non-linear equations augmented by drivetrain dynamics and elasticity imposes various challenges on the algorithmic solutions. This paper presents a method for recursive calculation of the inverse dynamics of real-world robots considering elasticity and gyroscopic effects introduced by the drivetrains. A study of the equations of motion elucidates the demand for analytical derivatives of the dynamics up to a maximum order depending on the number of joints. This problem is solved for the first time by means of higher-order time derivatives of spatial operators proposed by the spatial operator algebra.
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source IEEE Electronic Library (IEL) Conference Proceedings
subjects Algebra
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Elasticity
Exact sciences and technology
Feeds
Fundamental areas of phenomenology (including applications)
Lagrangian functions
Mechatronics
Motion analysis
Nonlinear equations
Path planning
Physics
Robot control
Robot kinematics
Robotics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
title Symbolic computation of the inverse dynamics of elastic joint robots
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