切换非线性系统的输出反馈周期事件触发控制  

Output feedback periodic event-triggered control for switched nonlinear systems

作　　者：李实 向峥嵘[2] LI Shi;XIANG Zheng-rong(School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing Jiangsu 210023,China;School of Automation,Nanjing University of Science and Technology,Nanjing Jiangsu 210094,China)

机构地区：[1]南京师范大学电气与自动化工程学院,江苏南京210023 [2]南京理工大学自动化学院,江苏南京210094

出　　处：《控制理论与应用》2022年第8期1377-1386,共10页Control Theory & Applications

基　　金：国家自然科学基金项目(62103196,61873128);江苏省高等学校基础科学(自然科学)面上项目(21KJB510041);南京师范大学引进人才科研启动经费(184080H202B315)资助.

摘　　要：本文针对一类在任意切换信号作用下的切换非线性系统,研究了其输出反馈周期事件触发控制问题.所考虑的非线性系统采用非严格反馈形式且含有未知时变控制系数。在本文中,仅利用采样时刻的系统输出.为了估计系统的不可量测的状态,基于采样的系统输出构造了降维状态观测器.为了减少通信资源的利用,提出了一种新的输出反馈周期事件触发策略,该策略包含仅利用事件触发时刻的信息构造的输出反馈事件触发控制器以及仅在采样时刻间歇性监测的离散事件触发机制.通过选取可容许的采样周期及合适的公共Lyapunov函数,证明了闭环系统在任意切换下全局渐近稳定.最后,通过将本文中所给出的控制方案应用到数值算例中验证了其有效性.This paper investigates the output feedback periodic event-triggered control problem for a class of switched nonlinear systems under arbitrary switchings.The considered nonlinear system is in the nonstrict-feedback form and contains unknown time-varying control coefficients.In this paper,only the system output at sampling instants is utilized.In order to estimate the unmeasured system states,a reduced-order state observer is constructed based on the sampled system output.To reduce the usage of communication resources,a new output feedback periodic event-triggered control strategy,which includes an output feedback event-triggered controller that only uses event-sampling information and a discretetime event-triggering mechanism that is only intermittently monitored at sampling instants,is proposed.By choosing an allowable sampling period and a proper common Lyapunov function,it is proven that the closed-loop system is global asymptotically stable under arbitrary switchings.Finally,the proposed control scheme is applied to a numerical example to verify its effectiveness.

关 键 词：非线性系统 切换系统 周期事件触发控制 输出反馈 任意切换 公共Lyapunov函数方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]