不确定随机奇异时变时滞系统的鲁棒H_∞控制

徐放; 王天成

doi:10.13568/j.cnki.651094.651316.2024.03.20.0001

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不确定随机奇异时变时滞系统的鲁棒H_∞控制

数理科学 | 更新时间：2026-01-21

- 不确定随机奇异时变时滞系统的鲁棒H_∞控制
- 不确定随机奇异时变时滞系统的鲁棒H_∞控制
- 新疆大学学报（自然科学版中英文） 2024年41卷第5期页码：542-549
- 作者机构：
  
  鲁东大学数学与统计科学学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金“传感器含有不确定性的随机非线性系统的输出反馈控制”（61973150）
- DOI：10.13568/j.cnki.651094.651316.2024.03.20.0001
  中图分类号： O231.3
- 纸质出版：2024
- 稿件说明：
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[1]徐放,王天成.不确定随机奇异时变时滞系统的鲁棒H_∞控制[J].新疆大学学报(自然科学版中英文),2024,41(05):542-549.
[1]徐放,王天成.不确定随机奇异时变时滞系统的鲁棒H_∞控制[J].新疆大学学报(自然科学版中英文),2024,41(05):542-549. DOI： 10.13568/j.cnki.651094.651316.2024.03.20.0001.

DOI：10.13568/j.cnki.651094.651316.2024.03.20.0001.

摘要

研究了不确定奇异时变时滞系统的鲁棒H_∞控制问题.通过构造李雅普诺夫泛函

应用自由矩阵不等式和伊藤公式

设计了确保闭环系统对所有不确定性鲁棒均方可容许并且具有H_∞性能指标γ的控制器.最后的数值实例验证了该方法的有效性.

Abstract

This article deals with the problem of robust H_∞ control for uncertain stochastic singular systems with time-varying delays. By constructing Lyapunov functional and employing improved free matrix inequality and It?'s formula

a state feedback controller is designed to ensure that the resulting closed-loop system is robustly mean-square admissible for all uncertainties and has an H_∞ performance index γ. Finally

an illustrative example is given to demonstrate the effectiveness of the present method.

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references

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