具有动态事件触发机制的非线性时滞系统规定时间控制  

Prescribed-Time Control for Nonlinear Time Delay Systems via Dynamic Event-Triggered Mechanism

作　　者：王向文 操德文 吴健 WANG Xiangwen;CAO Dewen;WU Jian(School of Computer and Information,Anqing Normal University,Anqing 246133;University Key Laboratory of Intelligent Perception and Computing of Anhui Province,Anqing Normal University,Anqing 246133)

机构地区：[1]安庆师范大学计算机与信息学院,安庆246133 [2]安庆师范大学智能感知与计算安徽省高校重点实验室,安庆246133

出　　处：《系统科学与数学》2025年第3期725-736,共12页Journal of Systems Science and Mathematical Sciences

基　　金：安徽省教育厅高校杰青项目(2022AH020067);安徽省自然科学基金项目(2008085QF302);高校优秀青年人才支持计划项目(gxyq2021192)资助课题.

摘　　要：针对一类具有不确定时滞的非线性严格反馈系统,研究其基于动态事件触发机制的规定时间控制问题.根据规定时间稳定性定理,对具有未知时滞的高阶非线性系统提出了一种状态反馈控制策略,以保证系统在规定时间内收敛,规定的时间可以根据实际需要设置.文章利用神经网络逼近技术对未知的连续函数进行逼近,利用Lyapunov-Krasovskii泛函来补偿状态延迟的影响.此外,控制器通过引入动态事件触发机制,减小了通信占用率.文章设计的控制器使得闭环系统内所有的信号在给定的时间范围内保持有界稳定,而且系统的收敛时间不会受到系统初始状态和控制参数的影响.最后,通过仿真实验来证明该设计方案的可行性.This study focuses on the prescribed-time control problem based on dynamic event-triggered mechanism for a class of nonlinear strict feedback systems with uncertain time delays.A state feedback control strategy is proposed for the high-order nonlinear system with unknown time delays based on the prescribed-time stability theorem.It ensures the convergence of the system within the prescribed-time,and the prescribed-time can be set according to the actual needs.In order to approximate unknown continuous functions in the system online,neural network approximation technique is applied,while the Lyapunov-Krasovskii functionals(LKFs)are employed to compensate for the effect of state delay.In addition,by introducing a dynamic event-triggered mechanism,the controller reduces the communication occupancy rate.The designed controller makes all signals in the closed-loop system remain bounded and stable within the prescribed-time,and the convergence time of the system will not be affected by the initial state of the system and the control parameters.Finally,the feasibility of the design scheme is verified by simulation experiments.

关 键 词：规定时间稳定 时滞 动态事件触发机制 不确定非线性系统 状态反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]