Adaptive multi-dimensional Taylor network control for nonlinear stochastic systems with time-delay. (March 2022)

• Record Type: Journal Article
• Authors: Zhu, Shan-Liang; Wang, Ming-Xin; Han, Yu-Qun
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 236:Number 3(2022)
• Page Start: 579
• Page End: 591
• Publication Date: 2022-03
• Subjects: Adaptive control -- Lyapunov–Krasovskii functions -- nonlinear stochastic systems -- multi-dimensional Taylor network; Mechanical engineering -- Periodicals; Automatic control -- Periodicals; Systems engineering -- Periodicals; 621.3
• DOI: 10.1177/09596518211040285
• Languages: English
• ISSNs: 0959-6518

Abstract

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.