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THE ROLE OF INTERNAL VARIABLES ON THE CONTROL OF VISCOELASTIC STRUCTURES

机译:内部变量在粘弹性结构控制中的作用

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摘要

Scientists have used internal variables to model time-dependent material behavior for many years. Since the 1980s they have been employed to predict transient response of structures that include viscoelastic materials. The potentially large number of extra states introduced by the internal variables can be problematic when designing control systems, so the purpose of this paper is to explore how internal variables affect control system design. Practical designs are based on output feedback of a limited number of the physical states, but this brings up the question of whether it is advantageous to recreate the full state vector (including internal states) using a standard observer. Internal variables based on Maxwell models are used to address observability and controllability as well as full- and partial-state feedback on a single-degree-of-freedom system. Comparisons are also made between complex-modulus and internal-variable representations of viscoelastic behavior.
机译:多年来,科学家们一直使用内部变量来建模随时间变化的材料行为。自1980年代以来,它们已被用于预测包括粘弹性材料的结构的瞬态响应。内部变量引入的潜在大量额外状态在设计控制系统时可能会出现问题,因此,本文旨在探讨内部变量如何影响控制系统设计。实际设计基于有限数量的物理状态的输出反馈,但这提出了使用标准观察器重新创建完整状态矢量(包括内部状态)是否有利的问题。基于Maxwell模型的内部变量用于解决单自由度系统的可观察性和可控制性以及全状态和部分状态反馈。还对粘弹性行为的复模量表示和内部变量表示进行了比较。

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