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arXiv 1707.09602eess.SYcs.SYmath.OC
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分布式参数负虚系统反馈连接的鲁棒稳定性条件

Robust stability conditions for feedback interconnections of distributed-parameter negative imaginary systems

University of Minnesota(明尼苏达大学);Australian National University(澳大利亚国立大学);Lund University(隆德大学)

Sei Zhen Khong, Ian R. Petersen, Anders Rantzer

AI总结:

本文通过积分二次约束方法推导了负虚系统正反馈连接的稳定性条件,利用该框架处理具有无理传递函数的分布式参数系统,并减少分析中的保守性。

摘要:

本文通过积分二次约束方法推导了正反馈连接的负虚系统稳定性条件。IQC框架能够处理具有无理传递函数的分布式参数系统,同时推广了文献中的现有结果,并利用零频和无穷频处的灵活性来减少分析中的保守性。主要结果表明,负虚系统的性质导致在正频率范围内一定形式的IQC约束。此外,还展示了针对系统直流增益和瞬时增益的额外IQC约束,这些约束在系统同伦过程中对闭环稳定性是充分且必要的。

英文摘要:

Sufficient and necessary conditions for the stability of positive feedback interconnections of negative imaginary systems are derived via an integral quadratic constraint (IQC) approach. The IQC framework accommodates distributed-parameter systems with irrational transfer function representations, while generalising existing results in the literature and allowing exploitation of flexibility at zero and infinite frequencies to reduce conservatism in the analysis. The main results manifest the important property that the negative imaginariness of systems gives rise to a certain form of IQCs on positive frequencies that are bounded away from zero and infinity. Two additional sets of IQCs on the DC and instantaneous gains of the systems are shown to be sufficient and necessary for closed-loop stability along a homotopy of systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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