Adaptive neural backstepping control for nonstrict-feedback stochastic nonlinear systems with input delay and asymmetric time-varying constraints

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-31 DOI:10.1016/j.jfranklin.2025.107751

Guangying Lv , Yeqing Shan , Fengyun Li , Yinqiu Zhang

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引用次数: 0

Abstract

This paper investigates the adaptive tracking control problem for a class of nonstrict-feedback stochastic systems with time-varying input delay and asymmetric full-state time-varying constraints. In the backstepping controller design, the Pade approximation theory is utilized to deal with the problem caused by time-delay input. Then, an asymmetric time-varying barrier function is designed to confine the system states into the prescribed boundaries. Meanwhile, we develop a type-2 sequential fuzzy neural network (T2SFNN) to approximate the nonlinear unknown states while simultaneously addressing the problem of ’complexity explosion’. Stability analysis proves that all signals of the closed-loop system are semi-globally uniformly ultimately bound (SGUUB) and all constraints are not violated. Finally, simulation results are provided to illustrate the effectiveness of the proposed control scheme.

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具有输入延迟和非对称时变约束的非严格反馈随机非线性系统的自适应神经反步控制

研究了一类具有时变输入时滞和非对称全状态时变约束的非严格反馈随机系统的自适应跟踪控制问题。在反步控制器设计中，利用Pade逼近理论来处理输入时滞引起的问题。然后，设计了非对称时变势垒函数，将系统状态限制在规定的边界内。同时，我们开发了一种2型序列模糊神经网络（T2SFNN）来逼近非线性未知状态，同时解决了“复杂性爆炸”问题。稳定性分析证明了闭环系统的所有信号都是半全局一致最终定界（SGUUB），并且所有约束都不被违反。最后，仿真结果验证了所提控制方案的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.