网络环境下非线性切换系统的固定时间控制  

Fixed-time control for switched nonlinear systems under the network environment

作　　者：马加立 费树岷[1] 崔国增 MA Jia-li;FEI Shu-min;CUI Guo-zeng(School of Automation,Southeast University,Nanjing Jiangsu 210096,China;School of Electronic and Information Engineering,Suzhou University of Science and Technology,Suzhou Jiangsu 215009,China)

机构地区：[1]东南大学自动化学院,江苏南京210096 [2]苏州科技大学电子与信息工程学院,江苏苏州215009

出　　处：《控制理论与应用》2023年第9期1529-1536,共8页Control Theory & Applications

基　　金：中国博士后科学基金资助项目(2021M700770);江苏省博士后科研资助计划项目(2021K107B);中央高校基本科研业务费专项资金项目(2242021R20030);国家自然科学基金项目(61703059);江苏省优秀青年基金项目(BK20211605)资助.

摘　　要：本文针对一类不确定非线性切换系统,在控制系数和量化器参数未知的情况下,研究系统的自适应固定时间控制问题.首先,文章利用增加幂次积分法和共同Lyapunov函数设计带有可调参数的自适应控制器.然后,基于改进的固定时间控制理论,文章提出有效的参数调节律,从而实现闭环系统的固定时间稳定性.最后,通过仿真实验验证所提控制算法的有效性.In this paper,thefixed-time control problem is investigated for switched uncertain nonlinear systems with unknown control coefficients and quantized input signal.Firstly,with the aid of adding a power integrator method and common Lyapunov function,an adaptive controller with a tuning parameter is designed.Then,based on the improvedfixed-time stability theorem,an effective regulate rule is proposed.And it is proved that thefixed-time stability can be ensured for the closed-loop systems under the proposed algorithm.Finally,a simulation example is provided to verify the effectiveness of the proposed method.

关 键 词：非线性切换系统 未知控制系数 量化输入 共同LYAPUNOV函数 固定时间控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]