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Stabilization with Zero Location Constraints for Delay-Based Non-collocated Vibration Suppression ?

机译:对零点限制的稳定化基于延迟的非分配振动抑制

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A generally applicable design of non-collocated vibration absorption by a delayed resonator is proposed. It is grounded in the direct assignment of imaginary axis zeros of the transfer function between the periodic disturbance force and the target. We show that these transmission zeros are characterized as eigenvalues of a delay differential-algebraic system. Furthermore, a stabilizing local controller is added to the setup in order to widen the range of admissible vibration frequencies. These design requirements are translated into an optimization problem of the spectral abscissa function subjected to zero location constraints. The presented approach and algorithm are validated by a simulation on a three body lumped mass-spring system.
机译:提出了一般适用于延迟谐振器的非配偶振动吸收的设计。 它接地为定期干扰力和目标之间的传递函数的虚轴零的直接分配。 我们表明这些传输零的特征在于延迟差动 - 代数系统的特征值。 此外,将稳定的本地控制器添加到设置中以扩大可允许的振动频率范围。 这些设计要求转换为对零位置约束进行频谱横坐标函数的优化问题。 通过三个身体块状质量弹簧系统的模拟验证了所提出的方法和算法。

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