Decentralized State Feedback Design for Multilinear Time-Invariant Systems <ce:cross-ref refid='fn1'> <ce:sup loc='post'>*</ce:sup> </ce:cross-ref> <ce:footnote id='fn1'> <ce:label>*</ce:label> <ce:note-para id='npara0001' view='all'>This work was partly supported by the project OBSERVE of the Federal Ministry for Economic Affairs and Energy Germany (Grant-No.: 03ET1225B).</ce:note-para> </ce:footnote>

Kai Kruppa; Gerwald Lichtenberg

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This work was partly supported by the project OBSERVE of the Federal Ministry for Economic Affairs and Energy Germany (Grant-No.: 03ET1225B).

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Decentralized State Feedback Design for Multilinear Time-Invariant Systems * * This work was partly supported by the project OBSERVE of the Federal Ministry for Economic Affairs and Energy Germany (Grant-No.: 03ET1225B).

机译：多线性时不变系统的分散状态反馈设计 * * 这项工作部分得到了联邦部的OBSERVE项目的支持德国经济事务与能源部（批准号：03ET1225B）。

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Today’s applications, like smart grids or complex HVAC systems, get more and more complex. This leads to enormous communication when using centralized controllers. Controller networks can reduce this effort by splitting the control task to smaller nodes, which do not need the full system information. The complex behavior of such systems can be modeled by multilinear time-invariant (MTI) systems in situations where linear models may fail. In this paper a method is proposed that determines a decentralized state feedback controller structure, that has an acceptable performance loss compared to the centralized case by multiple linearizations of the MTI plant. During operation of the controller the feedback gain is adapted to the current operating point. Application to a complex heating system example shows promising results.

机译：当今的应用，例如智能电网或复杂的HVAC系统，变得越来越复杂。使用集中式控制器时，这将导致大量通信。控制器网络可以通过将控制任务拆分为较小的节点来减少此工作，这些节点不需要完整的系统信息。在线性模型可能失效的情况下，可以通过多线性时不变（MTI）系统对此类系统的复杂行为进行建模。在本文中，提出了一种确定分散状态反馈控制器结构的方法，该方法与通过MTI工厂的多个线性化的集中式情况相比，具有可接受的性能损失。在控制器运行期间，反馈增益会适应当前的运行点。在复杂的加热系统示例中的应用显示出可喜的结果。

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《IFAC PapersOnLine》 |2017年第1期|共6页
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Kai Kruppa; Gerwald Lichtenberg;
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Decentralized State Feedback Design for Multilinear Time-Invariant Systems * * This work was partly supported by the project OBSERVE of the Federal Ministry for Economic Affairs and Energy Germany (Grant-No.: 03ET1225B).

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