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一类基于Barbalat引理的非线性系统自适应控制分析OACHSSCD

Adaptive control analysis of a class of nonlinear systems based on Barbalat's lemma

中文摘要英文摘要

研究了一类非线性系统自适应智能跟踪问题,旨在解决非线性系统中参数未知、控制律与Barbalat引理条件的兼容性等的挑战.通过Barbalat引理和反步法框架,提出了一种新型智能控制算法.该算法通过引入适配的调节函数,并采用在线估计的方法,有效地规避了传统方法中常见的过参现象.以此构造的新型智能控制器不仅结构简洁,而且具备快速响应跟踪信号的能力.这一改进突破了传统Lyapunov函数构造方法中控制器构建复杂、计算难度高、鲁棒性不足等局限.最后,通过仿真实验,验证了所提控制算法在非线性系统中的有效性.

This paper investigates the adaptive intelligent tracking control problem for a class of nonlinear systems,aiming to address challenges such as unknown parameters and the compatibility between control laws and the conditions of Barbalat's lemma.Within the framework of Barbalat's lemma and the back-stepping control technique,a novel intelligent control algorithm is proposed.By introducing suitable tun-ing functions and employing online estimation strategies,the method effectively avoids the over-parame-terization issue commonly encountered in conventional approaches.The resulting intelligent controller not only exhibits a simple structure but also demonstrates the capability to rapidly respond to reference sig-nals.This improvement overcomes limitations of traditional Lyapunov-based controller design methods,such as structural complexity,high computational burden,and insufficient robustness.Simulation results are provided to verify the effectiveness of the proposed control algorithm in nonlinear systems.

杜正昌;赵军圣

聊城大学 数学科学学院,山东 聊城 252059聊城大学 数学科学学院,山东 聊城 252059

数理科学

Barbalat引理非线性系统自适应控制反步法

Barbalat's lemmanonlinear systemadaptive controlbackstepping control method

《聊城大学学报(自然科学版)》 2026 (3)

336-345,10

国家自然科学基金项目(62373302)山东省自然科学基金项目(ZR2025MS1073)资助

10.19728/j.issn1672-6634.2025070011

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