A Sub-Optimal Approach to Design Distributed Controllers Realizable Over Arbitrary Networks
A Sub-Optimal Approach to Design Distributed Controllers Realizable Over Arbitrary Networks
复制标题
设计可通过任意网络实现的分布式控制器的次优方法
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
N. Elia
中科院分区：
文献类型：
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作者：
A. M. Vamsi;N. Elia
摘要我们考虑了设计分布式输出反馈控制器，该控制器可为一组通过任意的定向通信网络动态互连的植物实现H 2和H∞性能对象。我们以其状态空间物品的结构性特性为特征，我们设计了稳定的分布式控制器，该控制器可以与可用网络一起使用相互连接的系统是通过参数来实现的，用于将闭环H 2和H∞规范条件线性的输出反馈线性控制器实现。 2和H∞规范作为半准计划（SDP），可以使用良好的和标准的技术和工具有效地解决。为了合成在给定网络上可实现的相应控制器，即使我们仅提供稳定分布式控制器设计的安全条件，模拟表明，尽管与集中的控制器相比，我们获得的合成控制器仍提供了良好的性能。本质上，我们获得了设计可实现的分布式控制器的优势解决方案。
Abstract We consider the problem of designing distributed output-feedback controllers that achieve H 2 and H ∞ performance objectives for a group of plants dynamically interconnected via an arbitrary directed communication network. For a particular class of discrete-time linear time-invariant interconnected systems that are characterized by a structural property of their state-space matrices, we design stabilizing distributed controllers which can use the available network along with the plants of the interconnected system. This is achieved by means of parametrization for the output-feedback linear controllers that linearizes the closed-loop H 2 and H ∞ norm conditions and provides equivalent linear matrix inequalities (LMIs). Using these LMIs, we formulate the minimization of H 2 and H ∞ norms as semi-definite programs (SDPs) that can be efficiently solved using well-established and standard techniques and tools. The solutions of these SDPs allow us to synthesize the corresponding controllers that are realizable over the given network. Even though we provide only sufficiency conditions for the design of stabilizing distributed controllers, simulations show that the synthesized controllers we obtain provide good performance in spite of being suboptimal compared to the centralized controller. In essence, we gain the advantage of designing realizable distributed controllers at the expense of some performance degradation compared to the centralized solutions.