控制理论与应用2022,Vol.39Issue(8):1460-1470,11.DOI:10.7641/CTA.2022.10773
一类非线性系统的自适应抗测量噪声的输出反馈镇定
Adaptive anti-measurement-disturbance stabilization fora class of nonlinear systems via output feedback
摘要
Abstract
In this paper,we study adaptive anti-measurement-disturbance stabilization for a class of nonlinear systems via output feedback.In the output of the systems,there exist multiplicative noises which are assumed to be positive and have known upper and lower bounds.The growth rate of the nonlinear terms has an unknown constant multiplied by a power function of the output and a power function of the output with time delay.Firstly,a matrix inequality is developed.Secondly,we design an output feedback stabilizer with three time-varying gains,and give adaptive laws of the gains as well.Then,a Lyapunov-Krasovskii functional is constructed,and sufficient conditions are derived to ensure that the closed-loop system is asymptotically stable.Finally,numerical simulations are provided to verify the feasibility and effectiveness of the design method.关键词
乘积形式噪声/自适应镇定/非线性系统/时滞/输出反馈Key words
multiplicative noises/adaptive stabilization/nonlinear system/time-delay/output feedback引用本文复制引用
林雷,沈艳军..一类非线性系统的自适应抗测量噪声的输出反馈镇定[J].控制理论与应用,2022,39(8):1460-1470,11.基金项目
Supported by the National Natural Science Foundation of China(61876097),the Yichang Key Laboratory of Defense and Control of Cyber-Physical Systems(2020XXRH01)and the Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance(2021KJX04). (61876097)