离散时间下(Q,S,R)-耗散系统的互联
Interconnection of (Q,S,R)-Dissipative Systems in Discrete Time
AI总结：
针对离散时间系统无源性应用受限的问题，提出利用二次型供给率直接在离散时间下应用耗散性，推导了任意拓扑互联非线性系统的分散(Q,S,R)-耗散稳定条件及线性系统的线性耗散控制条件，并通过孤岛微电网数值算例验证有效性。
摘要：
离散时间系统不具备无源性，除非存在从输入到输出的直接馈通路。为了仍能利用基于无源性的控制，部分学者引入虚拟输出，另一部分则依托连续时间无源性，再采用能在离散时间中保持无源性的离散化技术。本文提出，二次型供给率可整合并拓展虚拟输出的作用，使研究者能直接在离散时间下利用耗散性特性。我们推导了一组以任意拓扑互联的非线性系统的分散式(Q,S,R)-耗散性条件，可保证整个网络稳定。针对线性系统，我们提出了供给率矩阵中呈线性的耗散控制条件。为验证方法的有效性，我们提供了孤岛微电网场景下的数值算例。
英文摘要：
Discrete-time systems cannot be passive unless there is a direct feedthrough from the input to the output. For passivity-based control to be exploited nevertheless, some authors introduce virtual outputs, while others rely on continuous-time passivity and then apply discretization techniques that preserve passivity in discrete time. Here we argue that quadratic supply rates incorporate and extend the effect of virtual outputs, allowing one to exploit dissipativity properties directly in discrete time. We derive decentralized (Q,S,R)-dissipativity conditions for a set of nonlinear systems interconnected with arbitrary topology, so that the overall network is guaranteed to be stable. For linear systems, we develop dissipative control conditions that are linear in the supply rate matrices. To demonstrate the validity of our methods, we provide numerical examples in the context of islanded microgrids.
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。
