| 线性系统能观性的鲁棒性 |
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| 引用本文： | 王晓明,崔祜涛,崔平远. 线性系统能观性的鲁棒性[J]. 吉林大学学报(工学版), 2009, 0(Z1) |
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| 作者姓名： | 王晓明 崔祜涛 崔平远 |
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| 作者单位： | 哈尔滨工业大学深空探测基础研究中心; |
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| 基金项目： | 国家自然科学基金项目(60874094) |
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| 摘 要： | 为说明线性化方法在非线性系统能观性分析中的合理性,在状态方程和输出方程存在非线性摄动项的情况下,对线性系统能观性的鲁棒性进行了研究。首先对零输入线性定常系统,证明了若摄动项在平衡点附近具有高阶无穷小的性质,则线性系统的能观性蕴含摄动系统在平衡点附近的能观性,然后将该结论在一定的假设条件下推广至零输入线性时变系统。最后,作为结论的进一步说明和应用,给出了两个数值算例。
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| 关 键 词： | 自动控制技术 线性系统 能观性 摄动 鲁棒性 |
Robustness of observability of linear systems |
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| WANG Xiao-ming,CUI Hu-tao,CUI Ping-yuan. Robustness of observability of linear systems[J]. Journal of Jilin University:Eng and Technol Ed, 2009, 0(Z1) |
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| Authors: | WANG Xiao-ming CUI Hu-tao CUI Ping-yuan |
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| Affiliation: | Deep Space Exploration Research Center;Harbin Institute of Technology;Harbin 150080;China |
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| Abstract: | The robustness of observability is studied for linear systems under nonlinear perturbations in the state dynamics and the output channel.For time-invariant linear systems,it is shown that the observability will be locally preserved if the perturbations have the property of higher order infinitesimal.Further,this result is extended to time-varying linear systems,which demonstrates the validity of linearization for observability analysis of nonlinear systems.Two numerical examples are given to illustrate the ... |
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| Keywords: | automatic control technology linear systems observability perturbation robustness |
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