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| 奇异线性随机跳变系统有界误差估计器设计 | |
| 引用本文： | 陈佳.奇异线性随机跳变系统有界误差估计器设计[J].控制与决策,2012,27(7):1047-1051. |
| 作者姓名： | 陈佳 |
| 作者单位： | 1. 西安电子科技大学电子工程学院,西安,710071 2. 空军工程大学工程学院,西安,710038 |
| 基金项目： | 国家自然科学基金项目(60674040) |
| 摘 要： | 从随机稳定的基本定义开始,对奇异线性随机跳变系统的随机稳定问题进行分析,推导出满足鲁棒∞性能的随机稳定条件,并在此基础上进行推广.首先针对估计误差满足鲁棒∞性能约束的条件,给出带Kalman滤波器形式的滤波器设计方法;然后重点研究了系统中各模态参数矩阵带有不确定性的情况;最后给出相应的数值算例并计算滤波器系数,验证了该方法的有效性和正确性. |
| 关 键 词： | 随机系统 奇异系统 随机稳定 不确定性矩阵 鲁棒∞ |
| 收稿时间： | 2010/12/27 0:00:00 |
| 修稿时间： | 2011/6/16 0:00:00 |
Bounded error estimator design of linear continuous singular random jumping system |
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| CHEN Jia,FANG Yang-wang,LOU Shun-tian.Bounded error estimator design of linear continuous singular random jumping system[J].Control and Decision,2012,27(7):1047-1051. |
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| Authors: | CHEN Jia FANG Yang-wang LOU Shun-tian |
| Affiliation: | 1(1.School of Electronic Engineering,Xidian University,Xi’an 710071,China;2.Engineering College,Air Force Engineering University,Xi’an 710038,China.) |
| Abstract: | Based on the basic definition of stochastic stability,stability problem of singular random system is investigated,and a sufficient condition for how to estimate a given singular random system to satisfy the robust ∞ performance is analyzed.Therefore,a method is proposed to solve the problem of filter design.Firstly,for the condition of the error of state estimation which satisfies the robust ∞ performance,a method of designing the filter is presented,which has the same framework with the Kalman filter.Then,for the condition of system structure with uncertainties,a relevant result is given.Finally,numerical examples are given and coefficients are also computed,and the results verify the accuracy and efficiency of the proposed method. |
| Keywords: | random system singular system stochastic stability uncertain matrix robust ∞ |
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