On the Recursive Adaptive Control for Free-floating Space Manipulators

Abstract

This paper is devoted to investigating the recursive implementation schemes of adaptive control for free-floating space manipulators. Using spatial vector tool and some physical properties that free-floating space manipulators enjoy, we establish a general framework on the seeking of the centripetal and Coriolis matrix that satisfies the skew symmetry requirement. Under this general framework, we propose a recursive adaptive algorithm for free-floating manipulators, which is composed of two parts: the first part is the recursive derivation of the required manipulator control torques, and the second part is the recursive updating of the spacecraft reference velocity and acceleration. To guarantee the uniform positive definiteness of the estimated spacecraft inertia, we present a parameter projection algorithm to project the estimated parameters into some pre-specified parameter region. In the next, we extend the proposed recursive adaptive algorithm to task-space control of free-floating space manipulators. We examine the performance of the proposed recursive adaptive algorithms via numerical simulation on a six-DOF space manipulator.