标题： 具有约束切换的切换系统鲁棒性能及其在弱硬实时控制系统中的应用 显示英文标题

标题： Robust performance for switched systems with constrained switching and its application to weakly hard real-time control systems

摘要： 许多网络化物理系统可以自然地被表述为具有约束切换的切换系统。这包括反馈环路中的一个信号可能丢失的系统。信号丢失的可能来源包括网络化控制系统中的共享或不可靠通信介质，或者在实时控制应用中使用共享计算设备（如处理器）时被丢弃的信号。使用具有约束切换的切换系统不仅限于网络化物理系统，还包括许多其他相关应用，如电力系统和病毒变异建模。 在本章中，我们介绍了一个用于分析和设计控制器的框架，这些控制器能够保证对具有约束切换的切换系统的鲁棒二次性能。可能的切换序列可以通过带有标签的图的语言来描述，其中标签与不同的子系统相关联。子系统允许有不同的输入和输出维度，并且它们的状态空间表示可以以一种广泛类别的不确定性以合理的方式受到影响。所提出的框架利用基于耗散性线性控制理论的思想，导出了由线性矩阵不等式表示的分析和综合不等式。我们演示了如何将所提出的框架应用于不确定弱硬实时控制系统的控制器设计——这一系统类别自然出现在网络化和实时控制中。 显示英文摘要

摘要： Many cyber-physical systems can naturally be formulated as switched systems with constrained switching. This includes systems where one of the signals in the feedback loop may be lost. Possible sources for losses are shared or unreliable communication media in networked control systems, or signals which are discarded, e.g., when using a shared computation device such as a processor in real-time control applications. The use of switched systems with constrained switching is not limited to cyber-physical systems but, includes many other relevant applications such as power systems and modeling virus mutations. In this chapter, we introduce a framework for analyzing and designing controllers which guarantee robust quadratic performance for switched systems with constrained switching. The possible switching sequences are described by the language of a labeled graph where the labels are linked to the different subsystems. The subsystems are allowed to have different input and output dimensions, and their state-space representations can be affected by a broad class of uncertainties in a rational way. The proposed framework exploits ideas from dissipativity-based linear control theory to derive analysis and synthesis inequalities given by linear matrix inequalities. We demonstrate how the proposed framework can be applied to the design of controllers for uncertain weakly hard real-time control systems - a system class naturally appearing in networked and real-time control.