Initial investigations of an adaptive discrete-time controller for nonlinear time-varying robotic models

The objective of this paper is to design a discrete-time controller which forces y(t) = F(q(t),q'(t)) to follow a desired trajectory, when non-linearities may be uncertain. A self-tuning adaptive control algorithm is then developed that addresses three types of errors: (1) error due to model linearization; (2) errors due to controlling a time-varying plant; and (3) errors due to discretization.