Passivity-based control [robot dynamics]

Dynamics of a robot naturally satisfy passivity whether its tool endpoint is free to move or constrained on a surface of an object or environment. This property is inherent to the fact that robot dynamics can be derived from a variational form based on the concept of Euler-Lagrange formalism. In this paper it is shown that a class of robust and effective controllers can be designed by referring to the variational form. These controllers have a simple structure and can be designed without using the exact knowledge of kinematic and dynamic parameters and thereby are robust against parameter uncertainties. It is also shown that a class of H_∞ controllers for suppression of the effect of external disturbances can be designed naturally without solving Hamilton-Jacobi´s differential equations. Even in the case of a system of dual fingers with flexible and soft finger-tips grasping a rigid or deformable object, the dynamics satisfy passivity, from which feedback control schemes can be devised for realizing dynamic stable grasping and dexterous manipulation