Sparse realizations of optimal finite-precision teleoperation controller structures

We study the finite word length (FWL) implementation of digital controller structures with sparseness consideration. A FWL stability measure is derived, taking into account the number of trivial elements in a controller realization. The controller realization that maximizes a lower bound of this measure is first obtained, and a stepwise algorithm is then applied to make the realization sparse. A test case involving a dual wrist assembly shows that the proposed design procedure yields a computationally efficient controller realization with good FWL closed-loop stability performance.