Adaptive Tracking Control of a Class of Nonlinear Systems with Input Delay and Dynamic Uncertainties Using Multi-dimensional Taylor Network

This paper concerns on the control problem of a class of nonlinear systems with input delay and dynamic uncertainties using multi-dimensional Taylor Network (MTN) control method. Firstly, a new variable is introduced to eliminate the effect of input delay by combining Padé approximation with Laplace transformation. Secondly, a MTN-backstepping-based control strategy is constructively designed by introducing a new coordinate transformation, and the proposed controller has the advantages of simple structure and good real-time performance. Finally, the effectiveness of the proposed MTN-based control approach is demonstrated by three examples.