Degrees of controllability and observability for close modes offlexible space structures

Williams T.; Xiao Cheng

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Degrees of controllability and observability for close modes offlexible space structures

机译：柔性空间结构封闭模式的可控性和可观测性

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Flexible structures usually possess vibration modes with close, but not exactly repeated, natural frequencies. Quantifying the controllability and observability of such modes is a nontrivial task; this contrasts with the case of modes that are either exactly repeated or widely separated. The paper derives expressions for the degrees of controllability and observability of near-repeated modes by examining the closed-form Grammians of flexible structures. The results obtained quantify the role of damping and frequency separation in controllability and observability

机译：柔性结构通常具有振动模式，这些振动模式具有接近但不完全重复的固有频率。量化这些模式的可控制性和可观察性是一项艰巨的任务。这与完全重复或广泛分离的模式形成对比。通过研究柔性结构的闭合形式的格莱姆式，得出近似重复模式的可控制性和可观察性程度的表达式。获得的结果量化了阻尼和频率分离在可控制性和可观察性中的作用

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《IEEE Transactions on Automatic Control》 |1999年第9期|p.1791-1795|共5页
作者
Williams T.; Xiao Cheng;
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原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
controllability; damping; flexible structures; observability; close modes; closed-form Grammians; damping; degree of controllability; degree of observability; flexible space structures; frequency separation; near-repeated modes; vibration modes;

机译：可控制性;阻尼;柔性结构;可观测性;闭合模式;闭合形式的格莱姆式;阻尼;可控制程度;可观测性;柔性空间结构;频率分离;近重复模式;振动模式;

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1. Degrees of controllability and observability for close modes of flexible space structures [J] . Williams T., Xiao Cheng IEEE Transactions on Automatic Control . 1999,第9期

机译：柔性空间结构封闭模式的可控性和可观测性
2. Approximation of a closely spaced mode subspace by a repeated mode subspace in vibration control of flexible structures [J] . Xu BH, Bao RH Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 1997,第10期

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3. Modal parameter identification for closely spaced modes of civil structures based on an upgraded stochastic subspace methodology [J] . Wu Wen-Hwa, Wang Sheng-Wei, Chen Chien-Chou, Structure and Infrastructure Engineering . 2019,第1a3期

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4. Degree of controllability for close modes of flexible space structures [C] . Williams, T. . 1991

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Degrees of controllability and observability for close modes offlexible space structures

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