Sensitivity of Structural Models for Noncollocated Control Systems

Sensitivity of Structural Models for Noncollocated Control Systems
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非并置控制系统结构模型的敏感性

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
H. Flashner
H. Flashner
中科院分区:
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文献类型:
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作者:
V. Spector;H. Flashner

文献摘要

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本文研究了与鲁棒控制系统设计有关的结构模型的灵敏度性质。特别强调的是放在noncollocated系统。对参数变化和边界条件的灵敏度分析是在一个有代表性的例子上进行的,该例子是一个具有端点质量和惯性的自由铰梁,传感器沿梁沿着分布。该分析利用了传递矩阵表示,它提供了一个方便的形式来演示传感器的位置和系统参数的零点和极点的灵敏度。不同结构模型的适用性也进行了调查。比较欧拉-伯努利理论和Euler-Bernoulli梁理论进行了讨论,并证明了每个理论适用的参数范围。
This paper investigates sensitivity properties of structural models pertinent to robust control system design. Special emphasis is put on noncollocated systems. Sensitivity analysis to parameter variations and boundary conditions is performed on a representative example of a pinned-free beam with end-point mass and inertia and sensors distributed along the beam. The analysis utilizes a transfer matrix representation, which provides a convenient form for demonstrating the sensitivity of zeros and poles to sensors locations and system parameters. Investigation of the applicability of different structural models is also carried out. Comparison of the Euler-Bernoulli theory and Timoshenko beam theory is discussed and the range of parameters for which each theory is applicable is demonstrated.