Adaptive fuzzy tracking control for constrained stochastic nonlinear systems with unknown control direction

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-04-09 DOI:10.1016/j.jfranklin.2025.107681

Haoran Wang, Zhibao Song

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引用次数: 0

Abstract

This paper studies the adaptive tracking control problem of stochastic nonlinear systems with asymmetric time-varying state constraints, input saturation and unknown control direction. Nussbaum function is adopted to handle the unknown control direction (UCD). A hyperbolic tangent function is employed to construct an auxiliary subsystem for addressing the input saturation issue, thereby transforming the original system into a new system with explicit inputs. Additionally, a fuzzy logic system is utilized to tackle the unknown nonlinear function. Combining the barrier Lyapunov function (BLF), a novel adaptive fuzzy controller is designed to ensure that all signals in the closed-loop system remain bounded, the state variables are constrained within asymmetric time-varying bounds, and the tracking error converges near the origin. Finally, the effectiveness of the proposed control scheme is verified through a simulation example.

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控制方向未知的约束随机非线性系统的自适应模糊跟踪控制

研究了具有非对称时变状态约束、输入饱和和控制方向未知的随机非线性系统的自适应跟踪控制问题。采用Nussbaum函数处理未知控制方向（UCD）。利用双曲正切函数构造辅助子系统来解决输入饱和问题，从而将原系统转化为具有显式输入的新系统。此外，利用模糊逻辑系统来处理未知的非线性函数。结合barrier Lyapunov函数（BLF），设计了一种新的自适应模糊控制器，保证闭环系统中所有信号保持有界，状态变量被约束在非对称时变界内，跟踪误差收敛于原点附近。最后，通过仿真算例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.