| 引用本文: | 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.[点击复制] |
| LIN Lei,SHEN Yan-jun.Adaptive anti-measurement-disturbance stabilization fora class of nonlinear systems via output feedback[J].Control Theory and Technology,2022,39(8):1460~1470.[点击复制] |
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| 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 |
| 摘要点击 3452 全文点击 457 投稿时间：2021-08-23 修订日期：2022-04-08 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2022.10773 |
| 2022,39(8):1460-1470 |
| 中文关键词 乘积形式噪声 自适应镇定 非线性系统 时滞 输出反馈 |
| 英文关键词 multiplicative noises adaptive stabilization nonlinear system time-delay output feedback |
| 基金项目 国家自然科学, 项目批准号: 61374028，和信息物理融合防御与控制系统宜昌市重点实验室, 项目批准号:2020XXRH01，Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance (2021KJX04)基金资助 |
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| 中文摘要 |
| 本文研究一类非线性系统的自适应抗测量噪声的输出反馈镇定问题. 所研究的非线性系统输出中存在正的且
有界的乘性噪声. 非线性项的增长率为一个未知常数乘以输出的幂函数加上带有时滞输出的幂函数. 首先, 证明一个矩
阵不等式. 其次, 设计含有3个时变增益的输出反馈控制器, 并给出增益的自适应律, 然后, 构造适当的Lyapunov-Krasovskii
泛函, 给出确保闭环系统渐近稳定的充分条件. 最后, 仿真实验验证该方法的可行性和有效性. |
| 英文摘要 |
| 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. |
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