文章基本信息

标题：H ∞ Performance of Mechanical and Power Networks
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作者：Mohammad Pirani ; Ehsan Hashemi ; Baris Fidan 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：5196-5201
DOI：10.1016/j.ifacol.2017.08.453
语种：English
出版社：Elsevier
摘要：AbstractThis paper investigates the robustness of two well-known applications of second-order consensus dynamics, namely mechanical and power networks. For uniform subsystem parameters, we derive expressions for theH∞norms of mechanical and power networks, from external disturbances to body displacements and to generator phase angles, respectively. The closed-form expressions are in terms of the physical parameters (damping coefficients and inertias) of the dynamics and in terms of the spectrum of the grounded Laplacian matrix associated with the network. We then analyze the dependence of theH∞norm of each network on both the network structure and the physical parameters. For a fixed network topology, we find that each system norm can be minimized by choosing the damping coefficient within a specified range. Theoretical contributions are verified via two illustrative examples for mechanical and power networks, in which we show that the network structure, number of the reference nodes and their location in the network can have considerable effects on the systemH∞norm.
关键词：KeywordsNetwork robustnessMechanical networksPower networksSecond order consensusGrounded Laplacian matrix