Adaptive multi-dimensional Taylor network control for nonlinear stochastic systems with time-delay
Shan‐Liang Zhu, Mingxin Wang, Yu‐Qun Han · Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering · 2021
In this article, the problem of adaptive multi-dimensional Taylor network control for strict-feedback nonlinear stochastic systems with time-delay is investigated. To overcome the control degradation resulting from the delay terms, the appropriate integral-type Lyapunov–Krasovskii functions are introduced. A novel adaptive multi-dimensional Taylor network control scheme is provided via backstepping technique. The proposed adaptive multi-dimensional Taylor network controller can ensure that all signals in the closed-loop system are bounded in probability and the tracking error eventually converges to a small neighborhood of the origin. Three simulation examples are given to demonstrate the effectiveness of the proposed control scheme.