非线性时滞系统的预设时间输出反馈控制  

Prescribed-time Output Feedback Control of Nonlinear Time-delay System

作　　者：王嘉琦 WANG Jia-qi(Jinling Institute of Technology,Nanjing 211169,China)

机构地区：[1]金陵科技学院计算机工程学院,江苏南京211169

出　　处：《金陵科技学院学报》2022年第3期56-61,共6页Journal of Jinling Institute of Technology

基　　金：江苏省高校自然科学基金面上项目(22KJB510021);金陵科技学院高层次人才科研启动基金(jit-b-202119)。

摘　　要：研究一类非线性时滞系统的全局预设时间输出反馈控制问题。首先,设计了一类高增益观测器估计系统的不可测状态。其次,为了实现预设时间的收敛性,引入时变增益函数设计输出反馈控制器。借助于Lyapunov-Krasovskii泛函方法,证明闭环系统状态在预设时间内收敛到零点。单摆模型的仿真实验表明:当系统存在传输延迟时,输出反馈控制器能够保证系统的预设时间稳定。This paper investigated the prescribed-time output feedback control problem for a class of nonlinear time-delay systems.Firstly,a class of high-gain observers was developed to estimate the unmeasured states of the systems.Secondly,in order to achieve the prescribed-time convergence,a time-varying gain function was introduced to design the output-feedback controller.With the aid of the Lyapunov-Krasovskii functional method,we proved that all the closed-loop system states could converge to zero within the prescribed-time.The simulation for the single-link pendulum illustrated that the output feedback controller could ensure the prescribed-time stability for the system in the case of transmission delay.

关 键 词：非线性时滞系统 预设时间 输出反馈控制 观测器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]