Neural Predictor-Based Dynamic Surface Parallel Control for MIMO Uncertain Nonlinear Strict-Feedback Systems

We propose a neural predictor-based dynamic surface parallel control method for a class of uncertain nonlinear systems in this brief. The dynamics of the physical system is in the strict-feedback form and subject to multi-input, multi-output, and uncertain nonlinearities. The parallel control method is developed based on an ACP methodology, including three steps. Firstly, an artificial system to the physical system is developed using an echo state network-based neural predictor structure. Next, a high-order tuner-based computational experiment is developed to achieve online adaptive training of the echo state network. Finally, parallel execution is developed by using a second-order linear tracking differentiator-based dynamic surface control approach. The total closed-loop system can be proved to be input-to-state stable. The effectiveness of the proposed theoretical results is demonstrated by a simulation of trajectory tracking of an autonomous surface vehicle.