奇异线性随机跳变系统有界误差估计器设计  

Bounded error estimator design of linear continuous singular random jumping system

作　　者：陈佳[1] 方洋旺[2] 楼顺天[1] 

机构地区：[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

出　　处：《控制与决策》2012年第7期1047-1051,共5页Control and Decision

基　　金：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.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 H∞ 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 H∞ 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.

关 键 词：随机系统 奇异系统 随机稳定 不确定性矩阵 鲁棒∞ 

分 类 号：TP271.74[自动化与计算机技术—检测技术与自动化装置]