Learn while Tracking

A simple non-iterative digital controller is proposed for the uniform output tracking problem of multi-input multi-output discrete-time varying linear systems with arbitrary relative degree. The proposed controller is based on fast sampling and computing. Arbitrary small settling time along with arbitrary small steady-state output error are studied. Numerical simulations of an unstable linear system, an induction motor, and a nonlinear one-link flexible manipulator are included to show the performance potential of the proposed algorithm.