非线性系统的固定时间渐近稳定性及能量消耗估计

翟国庆; 陈巧玉; 童东兵; 周武能

doi:10.21656/1000-0887.440041

非线性系统的固定时间渐近稳定性及能量消耗估计

doi: 10.21656/1000-0887.440041

1.
上海工程技术大学数理与统计学院, 上海 201620
2.
东华大学信息科学与技术学院, 上海 200051

基金项目:

国家自然科学基金项目 61673257

详细信息

作者简介:
翟国庆(1999—), 男, 硕士生(E-mail: zgqing991001@163.com)

通讯作者:
陈巧玉(1984—), 女, 副教授, 博士(通讯作者. E-mail: goodluckqiaoyu@126.com)

中图分类号: O175.13
计量
- 文章访问数: 468
- HTML全文浏览量: 191
- PDF下载量: 59
- 被引次数: 0
出版历程
- 收稿日期: 2023-02-20
- 修回日期: 2023-07-09
- 刊出日期: 2023-10-31

Fixed-Time Asymptotic Stability and Energy Consumption Estimation of Nonlinear Systems

1.
School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, P.R.China
2.
College of Information Science and Technology, Donghua University, Shanghai 200051, P.R.China

摘要

摘要: 讨论了非线性系统的固定时间渐近稳定性和能量消耗估计问题. 首先, 提出了一种新的具有非线性和时变时滞的动态模型. 其次, 为了有效提高系统的收敛速率, 采用了一种固定时间控制策略. 通过构建Lyapunov泛函, 以及使用不等式分析方法, 获得了误差系统达到固定时间渐近稳定的准则. 同时, 为了预测系统运行过程中的能量消耗, 估计了系统能量消耗的上界, 这有助于评估系统的运行时间. 最后, 通过一个数值例子进行了模拟实验, 验证了所得结果的可行性和有效性.
- 固定时间控制 /
- 渐近稳定性 /
- 时变时滞 /
- 非线性系统 /
- 能量消耗估计
Abstract: The fixed-time asymptotic stability and energy consumption estimation problems of nonlinear systems were discussed. First, a novel dynamic model with nonlinearity and time-varying delays was proposed. Second, to effectively improve the convergence rate of the system, a fixed-time control strategy was adopted. Through construction of the Lyapunov functional and with the inequality analysis method, sufficient conditions for the error system were obtained to achieve the fixed-time asymptotic stability. Moreover, to predict the energy consumption during the operation of the system, the upper bound of the energy consumption for the system was estimated, which is helpful to evaluate the operation time of the system. Finally, a numerical example was given to verify the feasibility and effectiveness of the results.
- fixed-time control /
- asymptotic stability /
- time-varying delay /
- nonlinear system /
- energy consumption estimation

HTML全文

图 1 误差系统(3)的状态轨迹

Figure 1. State trajectories of error system (3)

下载: 全尺寸图片幻灯片

图 2 误差系统(3)在控制器(6)作用下的能量消耗

Figure 2. Energy consumption of error system (3) under the action of controller (6)

下载: 全尺寸图片幻灯片

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