Adaptive Modular Geometric Control of Robotic Manipulators

Abstract

This paper proposes an adaptive modular geometric control framework for robotic manipulators. The proposed methodology decomposes the overall manipulator dynamics into individual modules, enabling the design of local geometric control laws at the module level. To address parametric uncertainties, a geometric adaptive law is incorporated into the control structure. The adaptation mechanism updates only the spatial inertia parameters using a single adaptation gain for the entire system, while guaranteeing physically consistent and drift-free parameter estimates. Numerical simulations are provided to validate the effectiveness of the proposed approach in comparison to the existing modular and geometric methods.