具有有限时间输出约束的切换非线性时滞系统的多维泰勒网自适应控制  

Multi-dimensional Taylor network adaptive control for switchedtime-delay systems with finite-time output constraints

作　　者：初蕾 朱善良[1,2] 王明新 韩玉群 CHU Lei;ZHU Shan-liang;WANG Ming-xin;HAN Yu-qun(School of Mathematics and Physics,Qingdao University of Science and Technology,Qingdao 266061,China;Research Institute for Mathematics and Interdisciplinary Sciences,Qingdao University of Science and Technology,Qingdao 266061,China)

机构地区：[1]青岛科技大学数理学院,山东青岛266061 [2]青岛科技大学数学与交叉科学研究院,山东青岛266061

出　　处：《控制与决策》2022年第2期361-369,共9页Control and Decision

基　　金：青岛市源头创新计划项目(18-2-2-64-jch);山东省高等学校科技计划项目(J18KA314)。

摘　　要：研究一类具有有限时间输出约束的切换非线性时滞系统的控制器设计问题.为了在有限时间将输出跟踪误差限制在预定边界内,引入一种改进的有限时间性能函数(FTPF).在控制器的设计过程中,利用障碍Lyapunov函数来解决输出约束问题.然后,将多维泰勒网(MTN)的逼近特性与自适应反步技术相结合,提出一种新的自适应MTN控制方法.在该方法中,通过设计Lyapunov-Krasovskii泛函,使得存在时滞的情况下,仍然能够保证切换系统的稳定性.最后,通过仿真实例表明所提出设计方案的有效性和实用性.In this paper,the problem of controller design for a class of switched nonlinear time-delay systems with finite-time output constraints is studied.In order to limit the output tracking error to a predetermined boundary in finite time,an improved performance function,finite time performance function(FTPF),is introduced.In the process of controller design,the barrier Lyapunov function is used to solve the problem of output constraint.Then,a new adaptive multi-dimensional Taylor network(MTN)control method is proposed by combining the universal approximation property of the MTN with adaptive backstepping technology.In this method,Lyapunov-Krasovskii functionals are designed to ensure the stability of the switched system in the presence of time-delay.Finally,two simulation examples are given to illustrate the effectiveness and practicability of the design scheme.

关 键 词：有限时间输出约束 切换信号 时滞非线性系统 多维泰勒网 自适应控制 反步法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]