Adaptive multi-dimensional Taylor network tracking control for a class of nonlinear systems

This paper is concerned with the problem of multi-dimensional Taylor network (MTN) tracking control for a class of nonlinear systems with unknown control direction. By combining MTN' universal approximation ability and adaptive control method in the backstepping recursive design, a new adaptive MTN control approach is presented for the nonlinear system. The computation complexity of the designed controller has significantly reduced thanks to the simple structure of MTN. It is shown that the designed controller can guarantee all the signals in the closed-loop system remain bounded and the tracking error finally converges to a small neighbourhood of the origin. Finally, simulation results demonstrate the effectiveness of the proposed design approach.