未知时变时滞非线性纯反馈系统的自适应全局稳定性

IF 1.7 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Journal of Dynamic Systems Measurement and Control-Transactions of the Asme Pub Date : 2021-03-01 DOI:10.1115/1.4048587

Jun Guo, Yao Wang, Y. Bo

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引用次数: 0

摘要

研究了一类具有时变时滞的非线性纯反馈系统的反步控制问题。设计了一种虚拟控制器来抵消时滞状态扰动的影响，提高系统的稳定性。通过反步辅助控制器和Lyapunov-Krasovskii泛函进一步放宽了延迟相关非线性的假设。为了降低非仿射结构的计算复杂度，引入了合适的坐标变换。利用Lyapunov-Krasovskii稳定性理论证明了闭环信号的全局一致有界性和状态的渐近稳定性。最后，通过两个实例验证了该方法的有效性。

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Adaptive Global Stability of Nonlinear Pure-Feedback Systems With Unknown Time-Varying Delays

This paper investigates the backstepping control problem for nonlinear pure-feedback systems with time-varying delays. A virtual controller is designed to counteract the effects caused by the state perturbation of time delay, and improve the stability of the system. The assumption on delay-dependent nonlinearities is further relaxed by a backstepping auxiliary controller and a Lyapunov–Krasovskii functional. A suitable coordinate transformation is introduced to reduce the complexity of computation caused by nonaffine structures. The globally uniform boundedness of the closed-loop signals and the asymptotical stability of the state are proved by Lyapunov–Krasovskii stability theory. Finally, the effectiveness of our method is demonstrated by two illustrations.

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来源期刊

Journal of Dynamic Systems Measurement and Control-Transactions of the Asme 工程技术-仪器仪表

CiteScore

3.90

自引率

11.80%

发文量

审稿时长

24.0 months

期刊介绍： The Journal of Dynamic Systems, Measurement, and Control publishes theoretical and applied original papers in the traditional areas implied by its name, as well as papers in interdisciplinary areas. Theoretical papers should present new theoretical developments and knowledge for controls of dynamical systems together with clear engineering motivation for the new theory. New theory or results that are only of mathematical interest without a clear engineering motivation or have a cursory relevance only are discouraged. "Application" is understood to include modeling, simulation of realistic systems, and corroboration of theory with emphasis on demonstrated practicality.