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

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.