We present an algorithm called finger tracking for in-hand manipulation of
three-dimensional objects with independent robot fingers. We describe and a
nalyze the differential control for finger tracking and extend it to on-lin
e continuous control for a set of cooperating robot fingers. We show experi
mental data from a simulation. Finally, we discuss global control issues fo
r finger tracking, and compute lower bounds for reorientation by finger tra
cking. Our algorithm is computationally efficient, exact, and takes into co
nsideration the full dynamics of the system.