基于Nussbaum函数方法的输入饱和不确定混沌系统同步控制  

Synchronization Control of Uncertain Chaotic Systems with Input Saturation Based on the Nussbaum Function

作　　者：孙美美 夏学知[2] 刘颢[2] 陈龙[2] SUN Meimei;XIA Xuezhi;LIU Hao;CHEN Long(Institute of Aviation Basic,Naval Aviation University,Yantai 264001;Wuhan Digital Engineering Institute,Wuhan 430205)

机构地区：[1]海军航空大学航空基础学院,烟台264001 [2]武汉数字工程研究所,武汉430205

出　　处：《舰船电子工程》2024年第12期132-135,148,共5页Ship Electronic Engineering

摘　　要：论文针对复杂不确定的混沌系统,在控制方向未知、参数不确定、输入饱和的情况下,引入Nussbaum函数,提出了一种新的同步控制方法。该方法不仅处理了控制方向未知的问题,也处理了由输入饱和引起的非线性现象,并结合反演技术和神经网络技术,实现了不确定混沌系统的同步。通过构造Lyapunov复合能量函数证明了同步误差的收敛性。数值仿真结果验证了该同步控制方法的有效性。This paper addresses the synchronization control problem in complex uncertain chaotic systems with unknown con⁃trol direction,uncertain parameters,and input saturation.By introducing the Nussbaum function,a novel synchronization control method is proposed.This method not only handles the issue of unknown control direction but also addresses the nonlinear phenome⁃non caused by input saturation.By combining backstepping techniques and neural network technology,synchronization in uncertain chaotic systems is achieved.The convergence of synchronization error is proven by constructing a Lyapunov composite energy func⁃tion.Numerical simulation results validate the effectiveness of the proposed synchronization control method.

关 键 词：同步控制 反演 神经网络 输入饱和 

分 类 号：TM743[电气工程—电力系统及自动化]