| 线性系统能控性、能观测性的数值判断 |
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| 引用本文： | 毛剑琴. 线性系统能控性、能观测性的数值判断[J]. 控制理论与应用, 1986, 3(1): 58-67 |
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| 作者姓名： | 毛剑琴 |
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| 作者单位： | 北京航空学院 |
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| 摘 要： | 本文讨论数字计算机判断线性、时不变系统能控性,能观测性的问题。引入了矩阵数值秩的概念以及通过奇异值判断矩阵数值秩的方法。在此基础上给出了线性系统能控性、能观测性数值判断的概念和方法。以Schuler平台的初始对准问题为例说明了这一方法。利用奇异值扰动的性质,进行了系统能控性,能观测性的鲁棒性分析。
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| 收稿时间： | 1984-08-09 |
| 修稿时间： | 1985-03-04 |
NUMERICAL DETERMINATION OF THE CONTROLLABILITY AND OBSERVABILITY OF LINEAR SYSTEMS |
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| Mao Jianqin. NUMERICAL DETERMINATION OF THE CONTROLLABILITY AND OBSERVABILITY OF LINEAR SYSTEMS[J]. Control Theory & Applications, 1986, 3(1): 58-67 |
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| Authors: | Mao Jianqin |
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| Affiliation: | Beijing Institute of Aeronautics and Astronautics |
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| Abstract: | This paper discusses the determination of controllability and observability of the linear time invariable systems by using the digital computer. The numerical rrnk of a matrix is introduced and the method of finding the numerical rank by means of singular values is reviewed. The concept of numerical determination of the controllability and observability is developed and an implemental algorithm is given.As an example, the alignment of a Schuler platform is discussed. According to the perturbational properties of singular values, the robustness of controllability and observability is also analysed. |
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