Adaptive fixed-time tracking control for a class of nonlinear pure-feedback systems: A relative threshold event-triggered strategy. (March 2022)

• Record Type: Journal Article
• Authors: Zhu, Qiangqiang; Niu, Ben; Zhang, Guangju; Li, Shengtao; Duan, Peiyong
• Is Part Of: ISA transactions. Volume 122(2022)
• Page Start: 346
• Page End: 356
• Publication Date: 2022-03
• Subjects: Pure-feedback nonlinear systems -- Fixed-time convergent -- Decoupling technology -- Relative threshold event-trigger; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2021.05.006
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: In this paper, a fixed-time controller under the mechanism of event-trigger is designed for a class of nonlinear pure-feedback systems with non-differentiable non-affine functions. By properly modeling non-affine terms, the limitation of the partial derivatives of non-affine functions is eliminated. In our design process, we first develop a fixed-time adaptive controller using decoupling method. Then, a relative threshold event-trigger mechanism (ETM) is introduced in Section 3.1. The proposed controller can not only stabilize the system within a fixed-time, but also save communication resources more effectively. Lastly, the feasibility of the proposed control scheme is verified by two simulation examples. Highlights: A more general pure-feedback system with non-differentiable non-affine functions is considered. The constructed fixed-time controller can stabilize the pure-feedback system within a fixed-time. The event-trigger mechanism is introduced to solve the problem of resources waste in channel transmission.